喬治·帕里西（Giorgio Parisi，1948年8月4日—），男，出生于意大利羅馬，意大利理論物理學(xué)家，2021年諾貝爾物理學(xué)獎(jiǎng)得主，意大利猞猁之眼國(guó)家科學(xué)院院士，研究領(lǐng)域?yàn)?a href="/hebeideji/2300291833082044051.html">量子場(chǎng)論，統(tǒng)計(jì)力學(xué)和復(fù)雜系統(tǒng)。1980年，喬治·帕里西擔(dān)任中國(guó)科學(xué)院理論物理研究所客座訪問(wèn)教授。喬治·帕里西在1992年當(dāng)選為法國(guó)科學(xué)院通訊院士，1993年當(dāng)選為法國(guó)科學(xué)院院士，2003年當(dāng)選為美國(guó)國(guó)家科學(xué)院外籍院士，2018年，喬治·帕里西任意大利猁之眼國(guó)家科學(xué)院主席。2021年成為諾貝爾物理學(xué)獎(jiǎng)得主。他還是美國(guó)國(guó)家科學(xué)院、歐洲科學(xué)院、歐洲科學(xué)院和美國(guó)哲學(xué)學(xué)會(huì)的成員。
帕里西在多個(gè)方面都有著杰出貢獻(xiàn)，包括研究深非彈性過(guò)程中的標(biāo)度違規(guī)（Altarelli-Parisi方程）、超導(dǎo)體通量限制模型作為夸克限制機(jī)制的假說(shuō)、在統(tǒng)計(jì)經(jīng)典系統(tǒng)中使用超對(duì)稱性，在湍流中引入多重分形，隨機(jī)聚集增長(zhǎng)模型的隨機(jī)微分方程（Kardar-Parisi-張姓方程）以及對(duì)復(fù)制方法的開(kāi)創(chuàng)性分析等。
帕里西獲得的獎(jiǎng)項(xiàng)包括1986年費(fèi)爾特里內(nèi)利物理學(xué)獎(jiǎng)、1992年博爾茨曼獎(jiǎng)、1993年埃尼-依達(dá)爾獎(jiǎng)、1999年ICTP狄拉克獎(jiǎng)?wù)?/a>、2002年費(fèi)米獎(jiǎng)、2005年丹尼·海涅曼數(shù)學(xué)物理獎(jiǎng)，于2021年獲得沃爾夫獎(jiǎng)，并且在同年成為諾貝爾物理學(xué)獎(jiǎng)得主。
人物經(jīng)歷
帕里西于1948年在羅馬出生。1970年在尼古拉·卡比博教授的指導(dǎo)下畢業(yè)于物理學(xué)系。他在意大利國(guó)家和物理研究院弗拉斯卡蒂實(shí)驗(yàn)室開(kāi)始了他的科學(xué)生涯，先為意大利國(guó)家科學(xué)院成員（1971-1973年），后來(lái)成為該研究院（1973-1981年）的研究員。在此期間，他長(zhǎng)期在國(guó)外學(xué)習(xí)研究，先后在紐約哥倫比亞大學(xué)（1973-1974年）、布雷斯-蘇爾-伊維特高級(jí)科學(xué)學(xué)院（1976-1977年）、巴黎高等師范學(xué)院（1977-1978年）任研究員。
1980年春天（4-5月），帕里西來(lái)到中科院理論物理所擔(dān)任客座訪問(wèn)教授。1981年到1992年，擔(dān)任羅馬第二大學(xué)理論物理學(xué)的正教授。現(xiàn)為羅馬第一大學(xué)的量子理論教授，亦是西蒙斯合作組織“破解玻璃問(wèn)題”的成員。
帕里西在粒子物理學(xué)、統(tǒng)計(jì)力學(xué)、流體動(dòng)力學(xué)、凝聚物、超級(jí)計(jì)算機(jī)等物理學(xué)領(lǐng)域做出了許多決定性貢獻(xiàn)和并得到了廣泛認(rèn)可。他撰寫(xiě)了關(guān)于神經(jīng)網(wǎng)絡(luò)、免疫系統(tǒng)和動(dòng)物種群運(yùn)動(dòng)的文章。2010和2016年，他獲得了Erc歐洲研究理事會(huì)的兩項(xiàng)資助，撰寫(xiě)了六百多篇科學(xué)論文。
1992年，他因?qū)o(wú)序系統(tǒng)理論的貢獻(xiàn)而獲得博爾茨曼獎(jiǎng)?wù)隆?/p>
1993年，喬治·帕里西當(dāng)選法國(guó)科學(xué)院外籍院士。
2003年，喬治·帕里西當(dāng)選美國(guó)國(guó)家科學(xué)院外籍院士。
2011年，德國(guó)物理學(xué)會(huì)授予其馬克斯?普朗克獎(jiǎng)?wù)?/a>。
2015年帕里西獲得EPS歐洲物理學(xué)會(huì)高能和粒子物理學(xué)獎(jiǎng)，并在次年獲得EPS美國(guó)物理學(xué)會(huì)拉爾斯·安薩格獎(jiǎng)。
2021年，他獲得了著名的沃爾夫物理學(xué)獎(jiǎng)，以表彰其在無(wú)序系統(tǒng)、粒子物理和統(tǒng)計(jì)物理方面的突破性發(fā)現(xiàn)。同樣在2021年，他因?yàn)榘l(fā)現(xiàn)“從原子尺度到行星尺度的物理系統(tǒng)的無(wú)序和波動(dòng)的相互作用”，成為當(dāng)年的諾貝爾物理學(xué)獎(jiǎng)得主。他還是美國(guó)國(guó)家科學(xué)院、歐洲科學(xué)院、歐洲科學(xué)院和美國(guó)哲學(xué)學(xué)會(huì)的成員。
在2022年，帕里西出版了《隨鳥(niǎo)飛行》，并在2023年出版《In a Flight of Starlings》一書(shū)。
2023年，喬治·帕里西當(dāng)選發(fā)展中國(guó)家科學(xué)院院士。
科研成就
從無(wú)序的復(fù)雜系統(tǒng)中發(fā)現(xiàn)隱藏規(guī)律和模式
在1980年，喬治·帕里西發(fā)現(xiàn)了無(wú)序的復(fù)雜材料之中的隱藏模式，他的發(fā)現(xiàn)是對(duì)復(fù)雜系統(tǒng)理論的最重要的貢獻(xiàn)。他們的研究讓其他科學(xué)家可以理解和描述大量有著明顯隨機(jī)性的材料和現(xiàn)象。這些材料和現(xiàn)象不僅局限在物理學(xué)領(lǐng)域，也包括數(shù)學(xué)、生物學(xué)、神經(jīng)科學(xué)以及機(jī)器學(xué)習(xí)。
他對(duì)自旋玻璃開(kāi)展了深入研究。自旋玻璃是一種特殊類型的金屬合金，其中鐵原子隨機(jī)混合進(jìn)銅原子網(wǎng)格。盡管只有少量鐵原子，但它們卻以一種極端而令人費(fèi)解的方式改變了整個(gè)材料的磁性。每一個(gè)鐵原子的行為都像一個(gè)小四氧化三鐵（或者說(shuō)自旋），它受到靠近它的其他鐵原子的影響。在普通磁鐵中，所有自旋都指向同一方向，但在自旋玻璃中，這些鐵原子的行為受到阻礙；一些自旋對(duì)想要指向同一方向，而另一些自旋對(duì)想要指向相反方向。
在關(guān)于自旋玻璃的書(shū)的導(dǎo)言中，帕里西寫(xiě)道：“研究自旋玻璃就像觀看莎士比亞戲劇中的人類悲劇。如果你想同時(shí)和兩個(gè)人交朋友，但他們卻彼此憎恨，這可能會(huì)讓人沮喪。怎樣才能把悲劇降到最低水平呢？”
自旋玻璃及其奇特的性質(zhì)為復(fù)雜系統(tǒng)提供了一個(gè)模型。帕里西對(duì)自旋玻璃結(jié)構(gòu)的基本發(fā)現(xiàn)非常深刻，這些發(fā)現(xiàn)使人們能夠理解和描述許多不同的、顯然完全隨機(jī)的材料和現(xiàn)象，不僅可用于物理學(xué)領(lǐng)域，而且在數(shù)學(xué)、生物學(xué)、神經(jīng)科學(xué)和機(jī)器學(xué)習(xí)等領(lǐng)域也能“大顯身手”。
打破復(fù)制對(duì)稱
彼得·揚(yáng)，加州大學(xué)圣克魯斯分校的物理學(xué)教授表示，旋轉(zhuǎn)玻璃背后的數(shù)學(xué)細(xì)節(jié)“非常奇怪”。將均場(chǎng)理論應(yīng)用于旋轉(zhuǎn)玻璃首先需要?jiǎng)?chuàng)建系統(tǒng)的“副本”，然后以某種方式將這些副本分成組，以利用它們之間的一些數(shù)學(xué)對(duì)稱性。最初應(yīng)用均場(chǎng)理論到旋轉(zhuǎn)玻璃中，是以一種簡(jiǎn)單的方式“打破對(duì)稱”，得到一個(gè)單一的序參量，但這種方法導(dǎo)致了不一致的結(jié)果。
因此，需要一種新穎的打破對(duì)稱的方式。但問(wèn)題是，該方法要求副本的數(shù)量被迫趨近于零，對(duì)稱性可能以無(wú)限多種方式被打破，而不清楚如何繼續(xù)。帕里西提出了一種分解副本的方法，揚(yáng)將之評(píng)價(jià)為“天才的方法”。帕里西將副本分成組，然后將這些組分成子組，再將這些子組分成更小的子組，依此類推。最終的結(jié)果是得到了無(wú)限多個(gè)序參量，而不是一個(gè)。這種無(wú)限分組解決了打破對(duì)稱性的問(wèn)題，使副本數(shù)量趨于零，并且最后發(fā)現(xiàn)了一個(gè)數(shù)學(xué)函數(shù)來(lái)描述無(wú)限多的序參量。
帕里西還表明，在零溫度下系統(tǒng)的熵似乎趨于零，因此比以前的結(jié)果更一致。進(jìn)一步的研究發(fā)現(xiàn)，描述無(wú)限多個(gè)序參量的函數(shù)與系統(tǒng)序參數(shù)的概率分布相關(guān)，因?yàn)樗趶?fù)雜的能量景觀中波動(dòng)。現(xiàn)在大多數(shù)研究人員認(rèn)為，帕里西的解決方案實(shí)際上是一個(gè)精確解決方案，而不僅僅是一個(gè)近似解。帕里西因此獲得了玻爾茲曼環(huán)形山獎(jiǎng)。
臨界的鳥(niǎo)群與復(fù)雜系統(tǒng)
帕里西曾經(jīng)與 Cavagna 等人合作，對(duì)鳥(niǎo)群的運(yùn)動(dòng)進(jìn)行了長(zhǎng)期的觀察，他們用兩個(gè)攝像機(jī)拍攝同一個(gè)鳥(niǎo)群，從而重建出鳥(niǎo)運(yùn)動(dòng)的三維坐標(biāo)，然后從這樣一個(gè) 3D 的影片中算出來(lái)各個(gè)時(shí)刻，群體中的各只鳥(niǎo)分別處在怎樣的位置，又根據(jù)相鄰各幀畫(huà)面，計(jì)算出鳥(niǎo)的速度，從這樣的視頻中可以得到很多有用的信息。他們用統(tǒng)計(jì)物理方法計(jì)算分析了數(shù)十萬(wàn)只鳥(niǎo)如何形成一個(gè)整體。對(duì)一個(gè)鳥(niǎo)群而言，最智能的狀態(tài)應(yīng)該是某種“團(tuán)結(jié)緊張”的狀態(tài)。這種狀態(tài)恰好處在“有序”與“無(wú)序”之間，類似于相變的臨界點(diǎn)處，此時(shí)，一個(gè)群體既能保持其穩(wěn)定性，又能保證個(gè)體的信息在群體中有效地傳遞。
臨界的特征對(duì)生物群體來(lái)說(shuō)有著重要的意義，在草原上遷徙的羊群，天空中飛翔的鳥(niǎo)群，河流中洄游的魚(yú)群都常常會(huì)遇到相似的問(wèn)題，因?yàn)椴妒痴呖赡軙?huì)從各個(gè)方向靠近來(lái)捕獵群體中的某些個(gè)體，甚至有的時(shí)候捕食者也會(huì)展開(kāi)群體的攻勢(shì)。這時(shí)候，這些動(dòng)物們會(huì)需要快速做出反應(yīng)，比如鳥(niǎo)群在空中不斷變換著形狀，羊群突然聚集在一起，或者魚(yú)群組合成一條看起來(lái)更大的魚(yú)的樣子，這種靈活應(yīng)變的能力體現(xiàn)了生物的某種集體智能，這也是簡(jiǎn)單的有序或者無(wú)序態(tài)難以實(shí)現(xiàn)的。
QCD演化理論
1977年，帕里西和 Altarelli一起發(fā)現(xiàn)了核子中的夸克和膠子分布的演化方程（又稱DGLAP方程，為獨(dú)立發(fā)現(xiàn)這個(gè)方程的三組工作的五個(gè)人姓氏首字母）。強(qiáng)相互作用的QCD理論中，部分子（夸克和膠子的統(tǒng)稱）的分布函數(shù)隨能標(biāo)和參考能標(biāo)（截?cái)啵┫嚓P(guān)，這個(gè)分布函數(shù)是描述深度非彈性散射截面的重要因子。帕里西與Altarelli用簡(jiǎn)潔的微擾場(chǎng)論辦法給出了分布函數(shù)隨能標(biāo)變化的演化方程，是QCD理論與強(qiáng)子實(shí)驗(yàn)中一個(gè)極其重要的結(jié)果。
主要著作
出版論文
圖書(shū)
1.Non-Perturbative Field Theory and QCD, edited with R. Iengo, A. Neveu, and P. Olesen, (World Scientific, Singapore, 1983).
2.Spin Glass Theory and Beyond, with M. MéZARD and M. A. Virasoro, (World Scientific, Teaneck, NJ, 南阿拉巴馬大學(xué), 1987).
3.Statistical 領(lǐng)域 Theory, (Addison-Wesley, Redwood City, CA, USA, 1988).
4.Lattice 90, edited with N.?Cabibbo, L?Maiani, E.?Marinari, G.?Martinelli, R.?Petronzio and R.?Pettorino. (North Holland, Amsterdam, Netherlands 1991).
場(chǎng)論、粒子物理、統(tǒng)計(jì)力學(xué)
5.Hadron Production in e+e- Collisions, with N.?Cabibbo and M.?Testa, Lettere al Nuovo Cimento 4 (1970) 35.
6.Deep Inelastic Scattering and the Nature of Partons, with N.?Cabibbo, M.?Testa and A. Verganelakis, Lettere al Nuovo Cimento 4 (1970) 569.
7.量規(guī) Invariance and Dynamical Symmetry Breaking, with M. Testa, Lettere al Nuovo Cimento 4 (1970) 71.
8.Generating Functionals, Ward Identities and 標(biāo)量 Mesons, with M. Testa, Nuovo Cimento A67 (1970) 13.
9.Calculation of Critical Indices, with L.?Peliti, Lettere al Nuovo Cimento 2 (1971) 627.
10.The s-Term and the Scale Breaking, with M. Testa, Lettere al Nuovo Cimento 2 (1971) 1154.
11.Angular Correlations of the Decay Products of Two Heavy Leptons, with F. Zirilli, Lettere al Nuovo Cimento 2 (1971) 775.
12.Hard Bremsstrahlung in e+e- Collisions, with F. Zirilli, Lettere al Nuovo Cimento 2 (1971) 395.
13.e+ e- Annihilation into Hadrons in the Preasymptotic Region and m+ m- Production in Proton Collisions, Lettere al Nuovo Cimento 1 (1971) 1023.
14.Broken Scale Invariance, U3(X)U3 Breaking and Hadron Lagrangian Structure, with M. Testa, Lettere al Nuovo Cimento 1 (1971) 549.
15.Conformal Symmetry at Lightlike Distances and AGB星 Behaviour of Electromagnetic Form Factors, with S. Ferrara and A. Grillo, Nuovo Cimento 12A (1972) 952.
16.Covariant Expansion of the Conformal Four-小數(shù)點(diǎn) 函數(shù), with S. Ferrara, A. Grillo and R. Gatto, Nucl. Phys. B49 (1972) 77.
17.?Bjorken Scaling and the Parton Model, Phys. Lett. 42B (1972) 114.
18.Critical Indices for the Spherical Model from Conformal Covariant Self-Consistency Conditions, with L. Peliti, Phys. Lett. 41A (1972) 331.
19a Simple Method for Computing Electrodynamic Processes of High Order (Application to e+e- Process), with F. Zirilli, Nuovo Cimento 11A (1972) 37.
20.Non-Equivalence Between Conformal Covariant Wilson Expansion in Euclidean and Minkowski Space, with S. Ferrara and A. Grillo, Lettere al Nuovo Cimento 5 (1972) 147.
21.On Self-Consistency Conditions in Conformal Covariant Field Theory, Lettere al Nuovo Cimento 5 (1972) 777.
22.Conformal Invariance in Perturbation Theory, Phys. Lett. 39B (1972) 643.
23.Conformal Covariant Correlation 函數(shù)s, with S. Ferrara, Nucl. Phys. B42 (1972) 281.
24.The Shadow 經(jīng)營(yíng)者 Formalism for Conformal Algebra Vacuum Expectation Values and Operator Products, with S. Ferrara, A. Grillo and R. Gatto, Lettere al Nuovo Cimento 4 (1972) 115.
25.?A Duality Sum Rule for Deep Inelastic Scattering, Lettere al Nuovo Cimento 3 (1972) 395.
26.?Canonical Scaling and Conformal Invariance, with S. Ferrara, A. Grillo and R. Gatto, Phys. Lett. 38 (1972) 333.
27.?On Renormalizability of Non-Renormalizable Theories, Lettere al Nuovo Cimento 6 (1973) 450.
28.?On the Possibility of Obtaining a Finite Value for the p-n 質(zhì)量 Difference, with A. Bietti, Phys. Lett. 43B (1973) 427.
29.?Anomalous Dimensions in One-Dimensional Quantum Field Theory, with F. Zirilli, J. of 數(shù)學(xué) Phys. 14 (1973) 243.
30.?Experimental Limits on the Values of Anomalous Dimensions, Phys. Lett. 43B (1973) 207.
31.?How to Measure the 量綱 of the Parton Field, Nucl. Phys. B59 (1973) 641.
32.?Possible Tests of Scale Invariance in Very High-能量 e+e+- Collisions, with S. Ferrara and A. Grillo, Phys. Lett. 45B (1973) 63.
33.?Wide Angle e+e- Bremsstrahlung at Adone: a New Limit for the Existence of a Heavy Electron, with C. Bacci et al., Phys. Lett. 44B (1973) 530.
34.? Deep Inelastic Scattering in a Field Theory with Computable Large-Momenta Behaviour, Lettere al Nuovo Cimento 7 (1973) 84.
35.?A 基團(tuán) Theoretical Derivation of the Gribov-Lipatov Reciprocity Relation (for Annihilation and Scattering Structure 函數(shù)s), with S. Ferrara and R. Gatto, Phys. Lett. 44B (1973) 381.
36.?Conformal-Covariant Wilson Expansion in Perturbation Theory, with S. Ferrara and A. Grillo, Nucl. Phys. B54 (1973) 552.
37.??Is the 3104 MeV 向量 Meson the fc or the W0?, with G. Altarelli, N. Cabibbo, R. Petronzio, L. Maiani, Lettere al Nuovo Cimento 11 (1974) 609.
38.??? Detailed Predictions for the p-n Structure 函數(shù)s in Theories with Computable Large Momenta Behavior, Phys. Lett. 50B (1974) 367.
39.??? Analyticity Properties and AGB星 Expansions of Conformal Covariant Green's Functions, with S. Ferrara, A. Grillo and R. Gatto, Nuovo Cimento 19a (1974) 667.
40.??? 夸克 Imprisonment and Vacuum Repulsion, Phys. REV D11 (1975) 970.
41.???? The Theory of Non-Renormalizable Interactions. The Large N Expansion Nucl. Phys. B100 (1975) 368.
42.??? Quark Confinement in Quantum Field Theory, Phys. Lett. 60B (1975) 93.
43.??? Exponential Hadronic Spectrum and 夸克 Liberation, with N. Cabibbo, Phys. Lett. 59B (1975) 67.
44.??? High 溫度 Expansion and the Reggeon Calculus, Phys. Lett. 56B (1975) 470.
45.??? Values of Fundamental Constants, Phys. REV D11 (1975) 909.
46.??? AGB星 Freedom in Parton Language, with G. Altarelli, Nucl. Phys. B126 (1976) 298.
47.??? Expanding Disc as a Dynamical Vacuum 不穩(wěn)定性 in Reggeon Field Theory, with D. Amati, G. Marchesini and M. Ciafaloni, Nucl. Phys. B114 (1976) 483.
48.??? Anomalous Dimensions from a High 溫度 Expansion without a Lattice, with R. Benzi and G. Martinelli, Phys. Lett. 64B (1976) 451.
49.??? 質(zhì)量 Dependent Corrections to the Bjorken Scaling Law, with R. K. Ellis and R. Petronzio, Phys. Lett. 64B (1976) 97.
50.??? Charmed Quarks and AGB星 Freedom in Neutrino Scattering, with G. Altarelli and R. Petronzio, Phys. Lett. 63B (1976) 183.
51.???? On the Breaking of Bjorken Scaling, Phys. Lett. 62B (1976) 331.
52.??? Toward a Field Theory of Confinement, Phys. Lett. 61B (1976) 368.
53.??? AGB星 Estimates with Fermions, Phys. Lett. 66B (1977) 382.
54.??? Asymptotic Estimates in Quantum Electrodynamics, with C. Itzykson and J.-B. Zuber, Phys. REV D16 (1977) 996.
55.??? Perturbation Theory at Large Orders for a Potential with Degenerate Minima, with E. Brezin and J. Zinn-Justin, Phys. Rev. D16 (1977) 408
56.??? The Perturbative Expansion and the INFINITE 耦合 Limit, Phys. Lett. 69B (1977) 329.
57.??? AGB星 Estimates of 理查德·費(fèi)曼 Diagrams, Phys. Lett. 68B (1977) 361.
58.??? Asymptotic Estimates in 標(biāo)量 Electro動(dòng)力學(xué), with C. Itzykson and J. B. Zuber, Phys. Rev. Lett. 39 (1977) 306.
59.??? Asymptotic Estimates in Perturbation Theory, Phys. Lett. 66B (1977) 167.
60.??? On Non-Renormalizable Interactions, in New Developments in Quantum Field Theory and Statistical Mechanics, (Plenum, New York, NY, USA 1977).
61.???? Superinclusive Cross Sections, Phys. Lett. 74B (1978) 65.
62.??? Discrepancies from AGB星 Series and their Relation to 情結(jié) Classical Trajectories, with R.?Balian and A.?Voros, Phys. Rev. Lett. 41 (1978) 1041.
63.??? Planar Diagrams, with E.?Brèzin, C.?Itzykson and J.?B.?Zuber, comm 數(shù)學(xué) Phys. 59 (1978) 35.
64.??? Bounds on the Number and Masses of Quarks and Leptons, with L.?Maiani and R.?Petronzio, Nucl. Phys. B136 (1978) 115.
65.??? Non Conventional Monopoles in Field Theory, in Tachyons, Monopoles and Related Topics, edited by E. Recami (North-Holland, Amsterdam, Netherlands, 1978).
66.??? Critical Exponents and Large-Order Behavior of Perturbation Theory, with E. Brezin, J. Stat. Phys. 19 (1978) 269.
67.??? Transverse Momentum of Muon Pairs Produced in Hadronic Collisions, with G. Altarelli and R. Petronzio, Phys. Lett. 76B (1978) 356.
68.??? Transverse Momentum in Drell-Yan Processes, with G. Altarelli and R. Petronzio, Phys. Lett. 76B (1978) 351.
69.??? Singularities of the Borel Transform in Renormalizable Theories, Phys. Lett. 76B (1978) 65.
70.??? High 溫度 Expansion without Lattice, with R. Benzi and G. Martinelli, Nucl. Phys. B135 (1978) 429.
71.???? The Borel Transform and the Renormalization 基團(tuán), Phys. Rep. 49 (1979) 215.
72.??? Gluon Fragmentation Functions from 夸克 Jets, with R. Petronzio, Phys. Lett. 82b (1979) 260.
73.??? On Infrared Divergences, Nucl. Phys. 150B, (1979) 163.
74.??? Bounds on the Fermions and Higgs Boson Masses in Grand Unified Theories, with N. Cabibbo, L. Maiani and R. Petronzio, Nucl. Phys. B158 (1979) 295.
75.??? The Physical Basis of the AGB星 Estimates in Perturbation Theory, in Hadronic Structure and 輕子Hadron Interactions, p. 665, edited by M. Levy et al., (Plenum, New York, NY, USA 1979).
76.??? Small Transverse Momentum Distributions in Hard Processes with R. Petronzio, Nucl. Phys. B154 (1979) 427.
77.??? AGB星 Predictions for Exclusive Processes, Phys. Lett. 84B (1979) 225.
78.??? A Simple Parametrization of the Q2 Dependence of the 夸克 廣義函數(shù) in QCD, with N.Sourlas, Nucl. Phys. B151 (1979) 421.
79.??? Randomness as a Source of Massless Particles, in Unification of the Fundamental Particle Interactions, edited by S. Ferrara, J. Ellis and P. van Nieuwenhuizen (Plenum, New York, NY, USA 1980).
80.??? Summing Large Perturbative Corrections in QCD, Phys. Lett. 10B (1980) 295.
81.???? Testable QCD Predictions for Sphericity-Like Distributions in e+e- Annihilation, with G. Martinelli, Phys. Lett. 89B (1980) 391.
82.??? On Low 能量 Tests of QCD, with R.?Petronzio, Phys. Lett. 94B (1980) 51.
83.??? Field Theoretical Approach to Second Order Phase Transitions in Two and Three Dimensional Systems J. Stat. Phys. 23 (1980) 49.
84.??? Properties of the Two-Dimensional O(N) Sigma Models and the High 溫度 Expansion, Phys. Lett. 90B (1980) 111.
85.??? Fluctuation-Induced Second-Order Phase Transitions, with F. Fucito, J. Phys. A (數(shù)學(xué) Gen.) 14 (1981) L499.
86.??? On the Range of Validity of the 6-e Expansion for Percolation, with F. Fucito, J. Phys. A (Math. Gen.) 14 (1981) L507.
87.??? A Systematical Improvement of the Migdal Recursion 公式, with G. Martinelli, Nucl. Phys. B180 [FS2] (1981) 201.
88.??? Correlation Functions and 計(jì)算機(jī) Simulations, Nucl. Phys. B180 (1981) 378.
89.??? Monte Carlo Simulations for the Two 量綱al O(3) Nonlinear Sigma Model, with G.?Martinelli and R.?Petronzio, Phys. Lett. 100B (1981) 485.
90.??? Perturbation Theory without 量規(guī) fixing, with Wu Yongshi, Scientia Sinica 24 (1981) 483.
91.???? Correlation Functions and 計(jì)算機(jī) Simulations. II, Nucl. Phys. B205 [FS5] (1982) 337.
92.??? Variational Real Space Renormalization 基團(tuán) and its Application to Frustrated Systems, with S.?Caracciolo and N.?Sourlas, Nucl. Phys. B205 (1982) 345.
93.??? A Simple Expression for Planar Field Theories, Phys. Lett. 112B (1982) 463.
94.??? Supersymmetric Field Theories and Stochastic Differential Equations, with N.?Sourlas, Nucl. Phys. B206 (1982) 321.
95.??? Renormalization 基團(tuán) and Free 能量 Calculations for Spin Systems with A.?Baracca, R.?Livi, F.?Marchesoni, A.?Maritan et al., Nucl. Phys. B210 (1982) 1.
96.??? A Modified Eguchi-Kawai Model, with Y.-C. Zhang, Phys. Lett. 114B (1982) 319.
97.??? On the Single 小數(shù)點(diǎn) Field Theories, with Y.-C. Zhang, Nucl. Phys. B216 (1983) 408.
98.??? Universal Ratios in First-Order Transitions Induced by Fluctuations, with D. Amit, J. of Phys. C 16 (1983) 1385.
99.??? AGB星 Behavior of the True Self-Avoiding Walk, with D. Amit and L. Peliti, Phys. Rev. B27 (1983) 1635.
100. A Monte Carlo Simulation with an Improved Action for the O(3) Non-Linear Sigma Model, with M. Falcioni, G. Martinelli, M. L. Paciello and B. Taglienti, Nucl. Phys. B225 (1983) 313.
101. On 情結(jié) Probabilities, Phys. Lett. 131B (1983) 393.
102. On Energy Momentum Conservation, Phys. Lett. 136B (1984) 392.
103. Symanzik's Improvement Program, Nucl. Phys. B254 (1985) 58.
104. A New Proposal for the Determination of the Renormalization 基團(tuán) Trajectories by Monte Carlo Renormalization Group Method, with M. Falcioni, G. Martinelli, M. L. Paciello and B. Taglienti, Nucl. Phys. 265B (1986) 187.
105. On the approach to Equilibrium of a Hamiltonian chain of anharmonic oscillators.? Euro物理學(xué) Letters, vol.40, no.4, 15 Nov. 1997, pp357-62. Parisi G.
106. Statistical mechanics of a two-dimensional system with long-range interactions. Journal of Physics A-Mathematical & General, vol.31, no.17, 1 May 1998, pp.3949-60. Dean DS, Parisi G.
字符串
107. On the p-adic Five 小數(shù)點(diǎn) Function, with E.?Marinari, Phys. Lett. 203B (1988) 52.
108. The Supersymmetric One-量綱al String, with E.?Marinari, Phys. Lett. B240 (1990) 375.
109. A Non Perturbative Ambiguity Free Solution of a String Model, with E.?Brezin and E.?Marinari, Phys. Lett. 242B (1990) 35.
110. A Non Perturbative Definition of 2d Quantum Gravity, with E.?Marinari, Phys. Lett. 247B (1990) 537.
111.? String Theory on the one dimensional Lattice, Phys. Lett. 238B (1990) 213.
112. On the one-dimensional discretized string, Phys. Lett. 238B (1990) 209.
113. On the Spectrum of the One Dimensional String, Europhys. Lett. 11 (1990) 595.
114. The One Dimensional String on the Lattice. A Study of the Spectrum of the Transfer 基體, with G. Salina and A. Vladikas, Phys. Lett. 256B (1991) 397.
點(diǎn)陣測(cè)量理論和旋轉(zhuǎn)模型
115. Strong 耦合 Phase in Lattice Gauge Theories at Large Dimension, with Jackie McLean Drouffe and N. Sourlas, Nucl. Phys. B161 (1979) 397.
116. Hausdorff Dimensions and 量規(guī) Theories, Phys. Lett. 81B (1979) 357.
117. Recent Progresses in Gauge Theories, AIP Conf. Proc. 68 (1980) 1531.
118. On the Relation Between the Renormalized and the Bare 耦合 Constant on the Lattice, Phys. Lett. 92B (1980) 133.
119. A 議案 for Monte Carlo Simulations of Fermionic Systems, with F.?Fucito, E.?Marinari and C.?Rebbi, Nucl. Phys. B180 (1981) 369, reprinted in Lattice Gauge Theories and Monte Carlo Simulation, edited by C.?Rebbi (World Scientific, Singapore 1983).
120. 情結(jié) Singularities in the Specific 熱學(xué) of the SU(2) Lattice 量規(guī) Model, with M.?Falcioni, E.?Marinari, M.?L.?Paciello, and B.?Taglienti, Phys. Lett. 102B (1981) 270.
121. On the Link between Strong and Weak 耦合 Expansions for the SU(2) Lattice Gauge Theory, with M.?Falcioni, E.?Marinari, M. L. Paciello, and B.?Taglienti, Nucl. Phys. B190 (1981)782.
122. Numerical Estimates of Hadronic Masses in a Pure SU(3) Gauge Theory, with H.?Hamber, Phys. Rev. Lett. 47 (1981) 1792.
123. 計(jì)算機(jī) Estimates of Meson 質(zhì)量es in SU(2) Lattice Gauge Theory, with E.?Marinari and C.?Rebbi, Phys. Rev. Lett. 47 (1981) 1795.
124. Long Range Spin-Spin Forces in 量規(guī) Theories, with J.?Kogut, Phys. Rev. Lett. 47 (1981) 1089.
125. Monte Carlo Simulation of the 質(zhì)量ive Schwinger Model, with E.?Marinari and C.?Rebbi, Nucl. Phys. B190 (1981) 734, reprinted in Lattice Gauge Theories and Monte Carlo Simulation, edited by C.?Rebbi (World Scientific, Singapore 1983).
126. Phase Transition Analysis in Z2 and U(1) Lattice 量規(guī) Theories, with M.?Falcioni, E.?Marinari, M.?L.Paciello and B.?Taglienti, Phys. Lett. 105B (1981) 51.
127. 情結(jié) Zeroes in the Partition Function of the 4 Dimensional SU(2) Lattice Gauge Model, with M. Falcioni, E. Marinari, M. L. Paciello and B. Taglienti, Phys. Lett. 108B (1982) 331.
128. 光譜學(xué) in a Lattice Gauge Theory, with H.?Hamber, E.?Marinari and C.?Rebbi, Phys. Lett. 108B (1982) 314, reprinted in Lattice Gauge Theories and Monte Carlo Simulation, edited by C.?Rebbi (World Scientific, Singapore 1983).
129. On the 質(zhì)量es of the Glueballs in Pure SU(2) Lattice Gauge Theories, with M.?Falcioni, E.?Marinari, M.?L.Paciello, F.?Rapuano, B.?Taglienti and Y.-C. Zhang, Phys. Lett. 110B (1982) 295, reprinted in Lattice Gauge Theories and Monte Carlo Simulation, edited by C.?Rebbi (World Scientific, Singapore 1983).
130. Improving the Lattice Action near the 連續(xù)統(tǒng) Limit, with G. Martinelli and R.?Petronzio, Phys. Lett. B114 (1982) 251.
131. First Evaluation of gA/gV in Lattice QCD in the Quenched Approximation with F. Fucito and S. Petrarca, Phys. Lett. B115 (1982) 148.
132. The Proton and 中子人 Magnetic Moments in Lattice QCD, with G. Martinelli, R.?Petronzio and F.?Rapuano, Phys. Lett. 116B (1982) 434.
133. Strange hadrons in Lattice QCD, with G.?Martinelli, C.?Omero and R. Petronzio, Phys. Lett. B117 (1982) 434.
134. Hadron 光譜學(xué) in Lattice QCD, with F. Fucito, G.?Martinelli, C.?Omero et al., NUcl. Phys. 108B (1982) 331.
135. Theoretical Aspects of 計(jì)算機(jī) Evaluations of the Hadronic 質(zhì)量 Spectrum, in Non-Perturbative Field Theory and QCD, edited by R. Iengo, A. Neveu, P. Olesen and G. Parisi, (World Scientific, Singapore 1982).
136. Large Distance Correlation Functions for an SU(2) Lattice 量規(guī) Theory, with M.?Falcioni, E.?Marinari, M.?L.Paciello, B.?Taglienti and Y.-C. Zhang, Nucl. Phys. B215 (1983) 265.
137. Numerical Simulations of Quantum Chromo動(dòng)力學(xué), with H. Hamber, E. Marinari and C. Rebbi, Phys. Lett. 124B (1983) 99.
138. On the convergence of iterative methods to compute the 夸克 propagator in Lattice 量規(guī) Theory, with S.?Petrarca, F.?Rapuano, Phys. Lett. 121B (1983) 264.
139. Boundary effects and hadron 質(zhì)量es in Lattice QCD, with G. Martinelli, R. Petronzio and F. Rapuano, Phys. Lett. B122 (1983) 283.
140. Considerations on Numerical Analysis of QCD, with H.?Hamber, G.?Parisi and C.?Rebbi, Nucl. Phys. B225 (1983) 475.
141. Some alternatives for the Lattice fermions with Y.-C. Zhang, Phys. Lett. B131 (1983) 149.
142. Some 陽(yáng)性 results for avoiding Lattice fermion doubling with Y.-C. Zhang, Phys. Lett. B132 (1983) 130.
143. Numerical estimates for the spectrum of quantum chromo動(dòng)力學(xué), with H.?Hamber, Phys. Rev. D27 (1983) 208.
144. A measurement of the string 張力 near the 連續(xù)統(tǒng) limit, with R.?Petronzio and F.?Rapuano, Phys. Lett. B128 (1983) 418.
145. Staggered fermions and rotation 量規(guī) Invariance with Y.-C. Zhang, Nucl. Phys. B230 [FS10] (1984) 97.
146. The Strategy for Computing the Hadronic Mass Spectrum, Phys. Rep. 103 (1984) 203.
147. Prolegomena to Any Future 計(jì)算機(jī) Evaluation of the QCD Mass Spectrum, in Progress in Gauge Field Theory, p. 531 (Plenum, New York, NY, USA 1984).
148. Symanzik's Improvement Program, Nucl. Phys. B254 (1985) 58.
149. Computing the Hadronic Mass spectrum Eight is Better than One, with A.?Billoire and E.?Marinari, Phys. Lett. 162B (1985) 160.
150. On the SU(3) topological 告訴 in Lattice 量規(guī) Theories, with F. Rapuano, Phys. Lett. 152B (1985) 218.
151. Again on SU(3) glueball 質(zhì)量 with M. Falcioni, M. Paciello, B. Taglienti Nucl. Phys. 251B [FS13] (1985) 624.
152. Effects of the random number generator on 計(jì)算機(jī) simulations with F. Rapuano, Phys. Lett. 157B (1985) 301
153. A Short Introduction to Numerical Simulations of Lattice Gauge Theories, in Phenomenes Critiques, Systemes Aleatoires, Theories de Jauge edited by K. Osterwalder and R. Stora, (North-Holland, Amsterdam, Netherlands, 1986).
154. Glue Ball 質(zhì)量es and String 張力 in Lattice QCD, with The Ape Collaboration, M.?Albanese et al.., Phys. Lett. 192B (1987) 163.
155. Glue Ball Masses and the Loop-Loop Correlation Functions, with The Ape Collaboration, M.?Albanese et al.., Phys. Lett. 197B (1987) 400.
156. Phase Diagram for a Ferromagnetic System with Potts Symmetry in Four Dimensions, with S. Caracciolo and S. Patarnello, Europhys. Lett. 4 (1987) 7.
157. Scaling in Lattice Q.C.D.: Glue Ball 質(zhì)量es and String 張力, with The Ape Collaboration, P.?Bacilieri et al.., Phys. Lett. 205B (1988) 535.
158. The Hadronic Mass Spectrum in Quenched Lattice QCD: Results at b=5.7 and b=6.0, with The Ape Collaboration, P.?Bacilieri et al.., Phys.?Lett.?214B (1988) 115.
159. Order of the Deconfining Phase Transition in Pure-量規(guī) QCD, with The Ape Collaboration, P.?Bacilieri et al.., Phys. Rev. Lett. 61 (1988) 1545.
160. Numerical Simulations: Old and New Problems (Lattice QCD), , in Nonperturbative Quantum Field Theory, edited by G. 't Hooft, A. Jaffe, G. Mack, P. K. Mitterand and R. Stora (Plenum, New York, NY, USA, 1988).
161. The Hadronic Mass Spectrum in Quenched Lattice QCD: b=5.7, with The Ape Collaboration, P.?Bacilieri et al.., Nucl. Phys. B317 (1989) 509.
162. The Deconfining Phase Transition in Lattice Gauge SU(3), with The Ape Collaboration, P.?Bacilieri et al.., Nucl. Phys. B318 (1989) 553.
163. The 3d Z3 Spin Model and the Deconfinement Transition in QCD: a Problem of Universality, with A.?Fernandez, E.?Marinari, S.?Roncolini and A.?Tarancon, Phys. Lett. 217B (1989) 309.
164. On the Order of the Deconfining Phase Transition in SU(3) Lattice Gauge Theory, with The Ape Collaboration, P.?Bacilieri et al.., Nucl. Phys. B (Proc. Suppl.) 9 (1989) 315.
165. The Deconfining Phase Transition and the Glue Ball Channels in Pure Gauge QCD, with The Ape Collaboration, P.?Bacilieri et al.., Phys. Lett. 220B (1989) 607.
166. A New Computation of the Correlation Length near the Deconfining Transition in SU(3), with The Ape Collaboration, P.?Bacilieri et al.., Phys. Lett. 224B (1989) 333.
167. Status of Quenched QCD on Ape Computers, with The Ape Collaboration, S.?Cabasino et al., Nucl. Phys. B (Proc. Suppl.) 16 (1990) 554.
168. The Ape with a Small Jump, with The Ape Collaboration, S.?Cabasino et al., Nucl. Phys. B (Proc. Suppl.) 17 (1990) 218.
169. The Ape with a Small Mass, with The Ape Collaboration, S.?Cabasino et al., Nucl. Phys. B (Proc. Suppl.) 17 (1990) 431.
170. Principles of Numerical Simulations, in Fields, Strings and Critical Phenomena, edited by E. Brezin,and J. Zinn-Justin, (North-Holland, Amsterdam, Netherlands, 1990).
171. Staggered Fermions at b = 5.7: Smeared Operators on Large Lattices, with The Ape Collaboration, P.?Bacilieri et al.., Nucl. Phys. B343 (1990) 228.
172. Scattering Lenghts from Fluctuations, with M.?Guagnelli and E.?Marinari, Phys. Lett. B240 (1990) 188.
173. b = 6.0 Quenched Wilson Fermions, with The Ape Collaboration, S.?Cabasino et al., Phys. Lett. 258B (1991) 195.
174. b = 6.0 Staggered Quenched Fermions, with The Ape Collaboration, S.?Cabasino et al., Phys. Lett. 258B (1991) 202.
175. Ape Quenched Spectrum, with The Ape Collaboration, S.?Cabasino et al., Nucl. Phys. B (Proc. Suppl.) 20 (1991) 399.
176. The 1 Gigaflops Limit of the Quenched Mass Spectrum in Lattice QCD, with M.?Guagnelli, M.?P.?Lombardo, E.?Marinari and G.?Salina, submitted for publication in Nucl. Phys. B.
177. The quenched 質(zhì)量 spectrum in lattice QCD. Nuclear 物理學(xué) B-Proceedings Supplements, vol.26B, May 1992, pp.278-80. Netherlands. Guagnelli M, Lombardo M-P, Marinari E, Parisi G, Salina G.
178. The quenched mass spectrum in lattice QCD on a 1 Gigaflops 計(jì)算機(jī) Nuclear 物理學(xué) B, vol.B378, no.3, 13 July 1992, pp.616-32. NetherlandsGuagnelli M, Lombardo MP, Marinari E, Parisi G, Salina G.
179. Finite-開(kāi)本 effect for hadron masses in lattice QCD. Nuclear Physics B-Proceedings Supplements, vol.26B, May 1992, pp.278-80. Netherlands. Fukugita M, Mino H, Okawa M, Parisi G, Ukawa A.
180. The string 張力 in gauge theories. A suggestion for a new measurement method. Physics Letters B, vol.294, no.3-4, 19 Nov. 1992, pp380-4. Netherlands. Marinari E, Paciello ML, Parisi G, Taglienti B.? Physics Letters B, vol.298, no.3-4, 14 Jan. 1993, pp.400-4. Netherlands.
181. Origin of the finite-開(kāi)本 effect for the QCD hadron masses? Nuclear 物理學(xué) B-Proceedings Supplements, vol.30, March 1993, pp365-8. Netherlands. Fukugita M, Mino H, Okawa M, Parisi G, Ukawa A
182. Lattice QCD 光譜學(xué) with an improved Wilson fermion action. Nuclear 物理學(xué) B, vol.B395, no.1-2, 26 April 1993, pp.388-404. Netherlands. Lombardo M-P, Parisi G, Vladikas A.
183. Lattice gauge theories for strong interactions. pan XIII. Particles and Nuclei. 13th International Conference. World Scientific. 1994, pp.15-25. Singapore. Parisi G.
184. Glue ball masses and the chameleon gauge.? Physics Letters B, vol.381, no.4, 25 July 1996, pp.479-82. Marinari E, Paciello ML, Parisi G, Taglienti B.
計(jì)算機(jī)和數(shù)值模擬技術(shù)
185. 議案 of a 計(jì)算機(jī) for Lattice Calculations, with The Ape Collaboration, P.?Bacilieri et al.., 預(yù)印本 ROM2F/85/6, Dipar時(shí)間nto di Fisica, Universita' di Roma Tor Vergata (Roma, 1985).
186. The APE Project: a Gigaflop 緯線 Processor for Lattice Calculations, with The Ape Collaboration, P.?Bacilieri et al., in Computing in High Energy 物理學(xué), edited by L.?O.?Hertzberger and W.?Hoogland, (North Holland, Amsterdam, Netherlands, 1985).
187. The Ape 計(jì)算機(jī): an Array Processor Optimized for Lattice 量規(guī) Theory Simulations, with The Ape Collaboration, M.?Albanese et al.., Comp. Phys. Comm. 45 (1987) 345.
188. The APE Computer: a Fast Array Processor, with The Ape Collaboration, M.?Albanese et al., in Present Trends, Concepts and Instruments of Particle 物理學(xué). Symposium in Honour of Marcello Conversi's 70th Birthday edited by G. Baroni, L. Maiani and G. Salvini, (Italian Physical Society, Bologna, Italy 1988).
189. APE: a Fast Array Processor for Physics Simulations, with The Ape Collaboration, P.?Bacilieri et al., in ICS 88. Third International Conference on Supercomputing, edited by L.?P.?Kartashev and 硅?Kartashev, (Int. Supercomputing Inst, St.Petersburg, FL, USA, 1988).
190. From APE to APE-100: Present and Future of the APE Project, with The Ape Collaboration, P.?Bacilieri et al.., in the Proceedings of the International Conference on the Impact of Digital 微電子學(xué) and Microprocessors on Particle 物理學(xué) (Trieste, 1988).
191. System and Applicative 軟件 for the APE 計(jì)算機(jī) Family, with The Ape Collaboration, P.?Bacilieri et al.., in the Proceedings of the AICA. Workshop (Bologna, 1989).
192. From APE to APE-100: From 1 to 100 Gflops in Lattice 量規(guī) Theory Simulations, with The Ape Collaboration, N.?Avico et al.., Comp. Phys. Comm. 57 (1989) 285.
193. The APE-100 Project, with The Ape Collaboration, N.?Avico et al., AIP Conference Proceedings 209 (1990) 549.
194. Theory and numerical simulation of computationally difficult systems. Nuclear Physics B-Proceedings Supplements, vol.26B, May 1992, pp.181-94. Netherlands.
195. .Simulated tempering: a new Monte Carlo scheme Euro物理學(xué) Letters, vol.19, no.6, 15 July 1992, pp451-8. Switzerland, Marinari E, Parisi G.
196. The APE-100 計(jì)算機(jī) I. The 建筑, International Journal of High Speed Computing, vol.5, no.4, Dec. 1993, pp.637-56. Singapore, Battista C, Cabasino S, Marzano F, Paolucci PS, Pech J, Rapuano F, Sarno R, Todesco GM, Torelli M, Tross W, Vicini P, Cabibbo N, Marinari E, Parisi G, Salina G, Del Prete F, Lai A, Lombardo MP, Tripiccione R, Fucci A.
混沌，動(dòng)力系統(tǒng)和湍流
197. Approach to Equilibrium in a Chain of Nonlinear 振蕩器s, with F.?Fucito, F.?Marchesoni, E.?Marinari, L.?Peliti, S.?Ruffo and A.?Vulpiani, J.?Physique 43 (1982) 707.
198. Stochastic 共振 in Climatic Change, with R. Benzi, A. Sutera and A.Vulpiani, Tellus, vol.34, no.1, p. 10-16
199. A Theory of Stochastic Resonance in Climatic Change, with R. Benzi, A. Sutera and A. Vulpiani, SIAM J. Appl. 數(shù)學(xué) 43 (1983) 565.
200.Turbulence and Predictability of Geophysical Fluid 動(dòng)力學(xué) and Climate Dynamics, with U.?Frisch, in the proceedings of Enrico Fermi Varenna 物理學(xué) School, LXXXVIII, edited by M.?Ghil, (North Holland, Amsterdam, Netherlands, 1985).
201. On the Multifractal Nature of Fully Developed Turbulence and Chaotic Systems, with R. Benzi, G. Paladin and A. Vulpiani, J. Phys. A (數(shù)學(xué) Gen.) 17 (1984) 3521.
202.Characterisation of Intermittency in Chaotic Systems, with R. Benzi, G. Paladin and A. Vulpiani, J. Phys. A (Math. Gen.) 18 (1985) 2157.
203.Addendum: Characterisation of intermittency in chaotic Systems, with R. Benzi, G. Paladin and A. Vulpiani, J. of Phys.. A. 數(shù)學(xué) and Gen. J. Phys. A 18 (1985) 3281.
204.Scaling Law for the Maximum Lyapunov Characteristic Exponent of INFINITE Product of Random Matrices, with A. Vulpiani J. Phys. A (Math. Gen.) 19 (1986) L425.
205.On intermittency in a cascade model for turbulence Physica D, vol.65, no.1-2, 15 May 1993, pp.163-71. Netherlands. Benzi R, Biferale L, Parisi G.
206.Conformal field theory and direct numerical simulation of two-量綱al turbulence Europhysics Letters, vol.29, no.3, 20 Jan. 1995, pp203-8. Switzerland. Benzi R, Legras B, Parisi G, Scardovelli R.
207.Scaling and intermittency in Burgers turbulence. Physical Review E. Statistical 物理學(xué), Plasmas, Fluids, & Related Interdisciplinary Topics, vol.52, no.4, pt.A, Oct. 1995, pp.3656-74. USA. Bouchaud JP, Mezard M, Parisi G.
自旋玻璃以外的無(wú)序系統(tǒng)
208.Random Magnetic Field, Supersymmetry and 陽(yáng)性 Dimensions, with N.?Sourlas, Phys. Rev. Lett. 43 (1979) 774.
209.Exponential Tail of the Electronic 密度 of Levels in a Random Potential, with E. Brezin, J. Phys. C13 (1980) L307.
210. Self Avoiding Walk and Supersymmetry, with N. Sourlas, J. Phys. 人文科學(xué)概論41 (1980) L403.
211. Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity, with N. Sourlas, Phys. Rev. Lett. 46 (1981) 871.
212. Some Remarks on the Electronic States in Disordered Materials, J. Phys. A 14 (1981) 735.
213. Random Walk in Random Environment and 1/f 噪點(diǎn), with E.?Marinari, D.?Ruelle and P.?Windey, Phys. Rev. Lett. 50 (1983) 1223.
214. On the Interpretation of 1/f Noise, with E.?Marinari, D.?Ruelle and P. Windey, Commun. 數(shù)學(xué) Phys. 89 (1983) 1.
215. 1/f 噪點(diǎn), Disorder and 維度, with E.?Marinari, G.?Paladin, and A.?Vulpiani, J. Physique 45 (1984) 657.
216. Eden Model in Many Dimensions, with Y.-C. Zhang, Phys. Rev. Lett. 53 (1984) 1791.
217. Field Theories and Growth Models, with Y.-C. Zhang J. Stat. Phys. 18 (1985) 1.
218. Mean-Field Equations for the Matching and the Travelling Salesman Problems, with M. Mézard, Europhys. Lett. 2 (1986) 913.
219. Scaling Law for the Maximum Lyapunov Characteristic Exponent of INFINITE Product of Random Matrices, with A. Vulpiani, J. Phys. A19 (1986) L425.
220.Dynamic Scaling of Eden-cluster Surfaces, with M. Kardar and Y.-C. Zhang Phys. Rev. Lett 57 (1986) 1809.
221. A Replica Analysis of the Travelling Salesman Problem, with M. Mézard, J. de Physique 47 (1986) 1285.
222.Dynamic Scaling of Growing Interfaces, with M. Kardar and Y.-C. Zhang, Phys. Rev. Lett. 56 (1986) 889.
223.Some Applications of Field Theory to Amorphous Systems, in Quantum Field Theory and quantum 統(tǒng)計(jì)學(xué) Essays in honour of the sixtieth birthday of E.S. Fradkin, edited by I. A. Batalin, C. J. Isham and G. A. Vilkovisky, Adam Hilger (Bristol) 1987.
224.Mean-Field Theory of Randomly Frustrated Systems with Finite Connectivity, with M. Mézard, Europhys. Lett. 3 (1987) 1067.
225.Facing 情結(jié)ity, Physica Scripta 35 (1987) 123.
226.On the Replica Approach to Random Directed Polymers in Two Dimensions, J.?Physique 51 (1990) 1595-1606.
227.A Soluble Model for Random Directed Polymers in the Very Long Range Limit, Atti della Accademia Nazionale dei Lincei 91 (1990) 277.
228.Interfaces in a Random Medium and Replica Symmetry Breaking, with M.?Mézard, J. Phys. A (數(shù)學(xué) Gen.) 23 (1990) L1229-L1234.
229.Replica Field Theory for Random Manifolds, with M. MéZARD, J. Physique I1 (1991) 809.
230.Random Self-Interacting Chains: a Mechanism for Protein Folding, with G.?IORI and E.?Marinari, J. Phys. A (數(shù)學(xué) Gen.) 24 (1991) 5349.
231. On Polymers with Long Range Repulsive Forces, with E. Marinari, Europhys. Lett. 15 (1991) 721.
232.Polymers with Long-Range Self-Repulsion with a Variational Approach, with J.-P. Bouchaud, M. Mézard and J. S. Yedidia, J. Phys. A (數(shù)學(xué) and Gen.) 24 (1991) 1025.
233.Theory of the Depinning Transition in 告訴 密度 Waves, with L. Pietronero, Europhys. Lett. 16 (1991) 321.
234.Theory of Stretched Exponential Relaxation and Critical Behavior at Depinning for Charge Density Waves, with L. Pietronero, Physica A 179 (1991) 16.
235.On surface Growth in Random Media, Europhys. Lett. 17 (1992) 673-678.
236.Random magnetic 領(lǐng)域s and instantons in replica space? Journal of 物理學(xué) A-Mathematical & General, vol.25, no.11, 7 June 1992, pp3143-51. UK, with Dotsenko V
237.Statistical mechanics of heteropolymer folding. Physica A, vol.185, no.1-4, 15 June 1992, pp.98-103. Netherlands,? with Iori G, Marinari E,? Struglia 摩托船
238.A variational approach to directed polymers Journal of 物理學(xué) A-Mathematical & General, vol.25, no.17, 7 Sept. 1992, pp.4521-34. UK. MeZARD M, Parisi G.
239.Manifolds in random media: two extreme cases, Journal de Physique I, vol.2, no.12, Dec. 1992, pp.山崳基三甲基氯化銨42. France, Mezard M, Parisi G.
240.Charge 密度 waves and the replica method,? Journal de Physique I, vol.3, 二氧化氮, Feb. 1993, pp579-84. France. Parisi G
241. Maximal 平均數(shù)field solutions in the random 領(lǐng)域 Ising model: the pattern of the symmetry breaking, Journal of 物理學(xué) A-Mathematical & General, vol.26, no.21, 7 Nov. 1993, pp.5675-85. UK. Guagnelli M, Marinari E, Parisi G.
242.On toy ageing Journal of Physics A-Mathematical & General, vol.26, no.22, 21 Nov. 1993, ppL1149-56. UK. Marinari E, Parisi G.
243.Non-exponential relaxation 時(shí)間 scales in disordered systems: an application to protein 動(dòng)力學(xué). Europhysics Letters, vol.25, no.7, 1 March 1994, pp.491-6. Switzerland. IORI G, Marinari E, Parisi G
244.Random walks with short-range interaction and 平均數(shù)領(lǐng)域 behavior.? Caracciolo S, Parisi G, Pelissetto A.? Journal of Statistical 物理學(xué), vol.77, no.3-4, Nov. 1994, pp.519-43. USA.
245.Off Equilibrium 動(dòng)力學(xué) and aging in unfrustrated system s Cugliandolo LF, Kurchan J, Parisi G. Journal de Physique I, vol.4, no.11, Nov. 1994, pp1641-56. France.
246.Weighted 平均數(shù)領(lǐng)域 theory for the random field Ising model? Lancaster D, Marinari E, Parisi G.? Journal of 物理學(xué) A-Mathematical & General, vol.28, no.14, 21 July 1995, pp.3959-73. UK.
247.Replica theory and large-D Josephson junction hypercubic models.? Marinari E, Parisi G, Ritort F.? Journal of Physics A-Mathematical & General, vol.28, no.16, 21 Aug. 1995, pp4481-503. UK.
248.Replica symmetry breaking in the random replicant 調(diào)式l? Biscari P, Parisi G.? Journal of 物理學(xué) A-Mathematical & General, vol.28, no.17, 7 Sept. 1995, pp.4697-708. UK.? A mean 領(lǐng)域 theory for arrays of Josephson junctions? Parisi G.? Journal of Mathematical Physics, vol.37, no.10, Oct. 1996, pp.5158-70.
249.Closing probabilities in the Kauffman model: An annealed computation. Physica D, vol.98, no.1, 1 Nov. 1996, pp.1-25. P Bastolla U, Parisi G.
250.Attraction basins in discretized maps. Journal of Physics A-Mathematical & General, vol.30, no.11, 7 June 1997, pp.3757-69. Bastolla U, Parisi G.
251. Measures of critical exponents in the four-dimensional site percolation. 物理學(xué) Letters B, vol.400, no.3-4, 15 May 1997, pp.346-51. Ballesteros HG, Fernandez LA, Martin-Mayor V, Munoz Sudupe A, Parisi G, Ruiz-Lorenzo 約翰·約翰遜
252.Theory of 連續(xù)統(tǒng) percolation. III. Low-密度 expansion. Physical Review E. Statistical 物理學(xué), Plasmas, Fluids, & Related Interdisciplinary Topics, vol.56, 二氧化氮, Aug. 1997, pp.1379-95. Drory A, Berkowitz B, Parisi G, Balberg I.
253.Finite-開(kāi)本 scaling study of the d=4 site-diluted Ising model. Elsevier. Nuclear 物理學(xué) B-Proceedings Supplements, vol.63, April 1998, pp625-7. Ballesteros HG, Fernandez LA, Martin-Mayor V, Munoz Sudupe A, Parisi G, Ruiz-Lorenzo JJ.
254.The four-dimensional site-diluted Ising model: A finite-開(kāi)本 scaling study. Nuclear 物理學(xué) B, vol.B512, no.3, 23 Feb. 1998, pp.681-701. Ballesteros HG, Fernandez LA, Martin-Mayor V, Munoz Sudupe A, Parisi G, Ruiz-Lorenzo 約翰·約翰遜
255.Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks. Journal of 物理學(xué) A-Mathematical & General, vol.31, 二氧化氮0, 22 May 1998, pp.4583-602. Bastolla U, Parisi G.
256.Relevant elements, 磁化強(qiáng)度 and dynamical properties in Kauffman networks. A numerical study. Physica D, vol.115, no.3-4, 1 May 1998, pp.203-18. Bastolla U, Parisi G.
257.The modular structure of Kauffman networks. Physica D, vol.115, no.3-4, 1 May 1998, pp219-33. Bastolla U, Parisi G.
258.Critical exponents of the three-量綱al diluted Ising 調(diào)式l. Physical Review B-Condensed Matter, vol.58, no.5, 1 Aug. 1998, pp.2740-7. Ballesteros HG, Fernandez LA, Martin-Mayor V, Sudupe AM, Parisi G, Ruiz-Lorenzo JJ.
259.情結(jié) systems: a physicist's viewpoint. Elsevier. Physica A, vol.263, no.1-4, 1 Feb. 1999, pp.557-64. Netherlands. Parisi G.
260.On the 1/D expansion for directed polymers European-Physical-Journal-B. vol.8, no.4; April 1999; p.603-11 Parisi-G; Slanina-F.
261. Site-diluted three-量綱al Ising model with long-range correlated disorder Physical-Review-B-(Condensed-Matter). vol.60, no.18; 1 Nov. 1999; p.12912-17 Ballesteros-HG; Parisi-G
262.Critical behavior in the site-diluted three-dimensional three-state Potts model PHYSICAL REVIEW B vol. 61 pp 3215-3218 FEB 1 2000 Ballesteros HG, Fernandez LA, Martin-Mayor V, et al.
263.Critical exponents of the KPZ 方程 via multi-surface coding numerical simulations JOURNAL OF 物理學(xué) A-MATHEMATICAL AND GENERAL vol. 33 Issue: 46 pp. 8181-8192 NOV 24 2000 Marinari E, Pagnani A, Parisi G
264.Scale invariance in disordered systems: The Example of the random-field Ising model. PHYSICAL REVIEW LETTERS. vol. 89, pp 257204, 2002. PARISI G., SOURLAS N.
265.Width Distributions and the Upper Critical Dimension of KPZ Interfaces. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER 物理學(xué). vol. 65, pp. 026136, 2002. MARINARI E., PAGNANI A., PARISI G., RACZ Z.
266.Scale invariance and self-averaging in disordered systems. EUROPHYSICS LETTERS. vol. 66, pp. 465, 2004. PARISI G., PICCO M., SOURLAS N.
267.Anderson localization in Euclidean random matrices? PHYSICAL REVIEW B vol. 71, 153104 APR 2005 Ciliberti S, Grigera TS, Martin-Mayor V, et al.,
268.K-core percolation in four dimensions PHYSICAL REVIEW E vol. 78,022101, AUG 2008 Parisi G, RIZZO
自旋玻璃
269.Toward a Mean Field Theory for Spin Glasses, Phys. Lett. 73A (1979) 203.
270.Infinite number of order parameters for Spin-Glasses, Phys. Rev. Lett 43 (1979) 1754.
271. Mean Field Theory for Spin Glasses, Phys. Reports 67 (1980) 25.
272.An Order Parameter for Spin Glasses: a Function on the 區(qū)間 0-1, J. Phys. A (數(shù)學(xué) Gen.) 13 (1980) 1101.
273.A simple hypothesis for the Spin Glass phase of the INFINITEranged SK Model, with G. 圖盧茲足球俱樂(lè)部, J. Phys. Lettres 41 (1980) L361.
274.A 序列 of Approximated Solutions to the S-K Model for Spin Glasses, J. of Phys. A13 (1980) L115.
275.Magnetic Properties of Spin Glasses in a New Mean Field Theory, J. of Phys. A13 (1980) 1887.
276.The Magnetic Properties of the Sherrington-Kirkpatrick Model for Spin Glasses. Theory Versus Monte Carlo Simulations, Phil. Mag. B41 (1980) 677.
277.Mean Field Theory for Spin Glasses,, in "Disordered Systems and Localization", C. Castellani, C. Di Castro and L. Peliti eds, 1981, Springer-Verlag, Berlin, West Germany
278.Study of a simple hypothesis for the Mean-Field Theory of Spin-Glasses, with J. Vannimenus and G. 圖盧茲足球俱樂(lè)部, J. de Physique 42 (1981) 565.
279.Order Parameter for Spin Glasses, Phys. Rev. Lett. 50 (1983) 1946.
280.The Physical Meaning of Breaking Replica Symmetry, Phys. Rev. Lett. 51 (1983) 1206.
281. Spin Glasses and Replicas, Physica 124A (1984) 523.
282.Some remarks on the connection between Replicas and 動(dòng)力學(xué), J. Phys. Lettres 44 (1983) L581.
283.An Introduction to the Statistical Mechanics of Amorphous Systems, in Recent Advances in Field Theory and Statistical Mechanics, edited by J.-B. Zuber and R. Stora (North-Holland, Amsterdam, Netherlands, 1984).
284.Nature of the Spin-Glass Phase, with M. MéZARD, N. Sourlas, G. 圖盧茲足球俱樂(lè)部 and M.A. Virasoro Phys. Rev. Lett. 52 (1984) 1156.
285.Replica Symmetry breaking and the nature of the Spin Glass 相位, with M. Mézard, N. Sourlas, G. Toulouse and M.A. Virasoro, J. de Physique 45 (1984) 843.
286.Spin Glasses, Proceedings of the International School of 物理學(xué) 'Enrico Fermi' Course XCII: Elementary Particles, N. Cabibbo ed., North-Holland (Amsterdam)
287.A numerical investigation of the overlap distribution among pure states in the Spin Glass phase, with N. Parga and M. A. Virasoro, J. Phys. Lettres 45 (1984) L1063.
288.Self-Averaging Correlation Functions in the Mean Field Theory of Spin Glasses, with M. Mézard, J. Phys. Lettres 45 (1984) 707.
289.Random Free Energies in Spin Glasses, with M. Mézard and M.A. Virasoro, J. Phys. Lettres 46 (1985) L217.
290.Spin Glass Theory, Physica A 140 (1986) 312.
291. SK Model: the Replica solution without Replicas, with M. Mézard and M. A. Virasoro, Europhys. Lett. 1 (1986) 77.
292.Spin Glass Theory, in 時(shí)間-Dependent Effects in Disordered Materials, edited by R. Pynnand and T. Riste (Plenum, New York, NY, USA 1987).
293.On Spin Glass Theory, Physica Scripta T19A (1987) 27.
294.Eigenstates and Limit Cycles in the SK Model, with S.?Cabasino, E. Marinari and P. Paolucci, J. Phys. A (數(shù)學(xué) Gen.) 21 (1988) 4201.
295.On a Mechanism for Explicit Replica Symmetry Breaking, with M. A. Virasoro, J.?Phys. 50 (1989) 3317-3329.
296.3-D Ising Spin Glasses in a Magnetic Field and Mean Field Theory, with S. Caracciolo, S. Patarnello and N. Sourlas, Europhys. Lett. 11 (1990) 783.
297.Cavity Fields Approach in Spin Glasses: One Step Beyond, with R. Brunetti, Europhys. Lett. 11 (1990) 281.
298.Low 溫度 Behavior of Three Dimensional Spin Glasses in a Magnetic Field, with S. Caracciolo, S. Patarnello and N. Sourlas, J. Physique 51 (1990) 1877.
299.Ising Spin-Glasses in a Magnetic Field in 3 Dimensions, with S. Caracciolo, S. Patarnello and N. Sourlas, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 577.
300.On 計(jì)算機(jī) Simulations for Spin Glasses to Test Mean Field Predictions, with S. Caracciolo, S. Patarnello and N. Sourlas, J. Physique I 1 (1991) 627.
301. Numerical Results on a Hypercubic Cell Spin Glass Model, with F. Ritort and J. M. Rubi, J. Phys. A (數(shù)學(xué) and Gen.) 24 (1991) 5307.
302.Ultrametricity in an Inhomogeneous Simplest Spin Glass Model, with S. Franz and M. A. Virasoro, Europhys. Lett. 17 (1992) 5.
303.Study of the asymmetric Little model. Physica A, vol.185, no.1-4, 15 June 1992, pp247-53. Netherlands. Brunetti R, Parisi G, Ritort F.
304.Some recent developments in the theory of replica symmetry breaking. Physica A, vol.185, no.1-4, 15 June 1992, pp.316-21. Netherlands. Parisi G.
305.Finite-容積單位 corrections to the 平均數(shù)領(lǐng)域 solution of the SK model. Journal of 物理學(xué) A-Mathematical & General, vol.25, no.18, 21 Sept. 1992, pp4787-97. UK. Parisi G, Biscari P.
306.Asymmetric Little spin-glass model. Physical Review B-Condensed Matter, vol.46, no.9, 1 Sept. 1992, pp.5339-50. USA. Brunetti R, Parisi G, Ritort F.
307.The replica model on and off Equilibrium Journal de Physique I, vol.2, no.10, Oct. 1992, pp.1869-80. France. FRANZ S, Parisi G, Virasoro MA.
308.Critical finite-開(kāi)本 corrections for the Sherrington-Kirkpatrick spin glass. Journal of 物理學(xué) A-Mathematical & General, vol.26, no.2, 21 Jan. 1993, pp3775-89. UK. Parisi G, Ritort F, Slanina F.
309.Numerical 質(zhì)證 of a critical line in the 4d Ising spin glass Europhysics Letters, vol.21, no.4, 1 Feb. 1993, pp.495-9. Switzerland Badoni D, Ciria JC, Parisi G, Ritort F, Pech J, Ruiz-Lorenzo JJ.
310. The remanent 磁化強(qiáng)度 in spin-glass models. Journal de Physique I, vol.3, no.4, April 1993, pp.969-85. France.? Parisi G, Ritort F.
311. Spin glasses, complexity and all that.? Physica A, vol.194, no.1-4, 15 March 1993, pp28-40. Netherlands. Parisi G.
312. Free-能量 cost for ultrametricity violations in spin glasses. Europhysics Letters, vol.22, no.6, 20 May 1993, pp.405-11. Switzerland. FRANZ S, Parisi G, Virasoro MA.
313. Barriers and metastable states as saddle points in the replica approach. Journal de Physique I, vol.3, no.8, Aug. 1993, pp1819-38. France. Kurchan J, Parisi G, Virasoro MA.
314. Several results on the finite-開(kāi)本 corrections in the Sherrington-Kirkpatrick spin-glass model. Journal of 物理學(xué) A-Mathematical & General, vol.26, no.15, 7 Aug. 1993, pp.3775-89. UK. Parisi G, Ritort F, Slanina F.
315. On the branching structure of the tree of states in spin glasses. Journal of Statistical 物理學(xué), vol.72, no.5-6, Sept. 1993, pp.857-78. USA. Parisi G.
316. The de Almeida-Thouless line in the four dimensional Ising spin glass. Journal de Physique I, vol.3, no.11, Nov. 1993, pp.2207-27. France Ciria JC, Parisi G, Ritort F, Ruiz-Lorenzo JJ.
317. Replica symmetry breaking in four-dimensional spin glasses. Journal of 物理學(xué) A-Mathematical & General, vol.26, no.23, 7 Dec. 1993, pp.6711-30. UK. Parisi G, Ritort F.
318. Four-dimensional Ising spin glass: scaling within the spin-glass phase. Journal of Physics A-Mathematical & General, vol.26, no.23, 7 Dec. 1993, pp.6731-45. UK. Ciria JC, Parisi G, Ritort F.
319. On the 3D Ising spin glass. Journal of 物理學(xué) A-Mathematical & General, vol.27, no.8, 21 April 1994, pp2687-708. UK. Marinari E, Parisi G, Ritort F.
320.Interfaces and lower critical dimension in a spin glass model. Journal de Physique I, vol.4, no.11, Nov. 1994, pp1657-67. France. FRANZ S, Parisi G, Virasoro MA.
321. D-dimensional arrays of Josephson junctions, spin glasses and q-deformed harmonic oscillators. Journal of 物理學(xué) A-Mathematical & General, vol.27, no.23, 7 Dec. 1994, pp.7555-68. UK. Parisi G.
322.Replica 領(lǐng)域 theory for deterministic models: I. Binary sequences with low autocorrelation. Journal of Physics A-Mathematical & General, vol.27, no.23, 7 Dec. 1994, pp7615-45. UK. Marinari E, Parisi G, Ritort F.
323.Replica 領(lǐng)域 theory for deterministic models. II. A non-random spin glass with glassy behaviour. Journal of 物理學(xué) A-Mathematical & General, vol.27, 二氧化氮3, 7 Dec. 1994, pp7647-68. UK. Marinari E, Parisi G, Ritort F.
324.The fully frustrated hypercubic model is glassy and aging at large D. Journal of Physics A-Mathematical & General, vol.28, no.2, 21 Jan. 1995, pp.327-34. UK. Marinari E, Parisi G, Ritort F.
325.On the out-of-Equilibrium order parameter in long-range spin-glasses. Journal of 物理學(xué) A-Mathematical & General, vol.28, no.7, 7 April 1995, pp1831-45. UK. Baldassarri A, Cugliandolo LF, Kurchan J, Parisi G.
326.基體 models as solvable glass models. Physical Review Letters, vol.74, no.6, 6 Feb. 1995, pp.1012-15. USA. Cugliandolo LF, Kurchan J, Parisi G, Ritort F.
327.On the replica approach to spin-glass theory.? Philosophical 彈匣 B-物理學(xué) of Condensed Matter Structural Electronic Optical & Magnetic Properties, vol.71, no.4, April 1995, pp471-8. UK. G.Parisi
328.On the static and dynamical transition in the 平均數(shù)領(lǐng)域 Potts glass. Journal of 物理學(xué) A-Mathematical & General, vol.28, no.11, 7 June 1995, pp3025-41. UK. De Santis E, Parisi G, Ritort F.
329.On the four-dimensional diluted Ising model.? Journal of Physics A-Mathematical & General, vol.28, no.14, 21 July 1995, pp.L395-401. UK. Parisi G, Ruiz-Lorenzo JJ.
330.Mean-field equations for spin models with orthogonal interaction matrices. Journal of 物理學(xué) A-Mathematical & General, vol.28, no.18, 21 Sept. 1995, pp.5267-85. UK? Parisi G, Potters M.
331. Series expansion of the off-Equilibrium mode 耦合 equations. Journal of Physics A-Mathematical & General, vol.28, no.19, 7 Oct. 1995, pp5437-43. UK. FRANZ S, Marinari E, Parisi G.
332.On the number of metastable states in spin glasses. Europhysics Letters, vol.32, no.1, 1 Oct. 1995, pp13-17. Switzerland. Parisi G, Potters M.
333.Recipes for metastable states in spin glasses. Journal de Physique I, vol.5, no.11, Nov. 1995, pp1401-15. France. FRANZ S, Parisi G.
334.Numerical evidence for spontaneously broken replica symmetry in 3D spin glasses. Physical Review Letters, vol.76, no.5, 29 Jan. 1996, pp843-6. Marinari E, Parisi G, Ruiz-Lorenzo J, Ritort F.
335.Analytical solution of the Monte Carlo dynamics of a simple spin-glass model. Europhysics Letters, vol.34, no.3, 20 April 1996, pp.159-64. Bonilla LL, Padilla FG, Parisi G, Ritort F.
336.On infrared divergences in spin glasses. Journal of 物理學(xué) A-Mathematical & General, vol.29, no.14, 21 July 1996, pp3795-804. Ferrero ME, Parisi G.
337.Simulation of three-dimensional Ising spin glass model using three replicas: Study of Binder cumulants. Journal of 物理學(xué) A-Mathematical & General, vol.29, no.15, 7 Aug. 1996, pp.4337-45. Iniguez D, Parisi G, Ruiz-Lorenzo JJ.
338.Scaling above the upper critical dimension in Ising models. Physical Review B-Condensed Matter, vol.54, no.6, 1 Aug. 1996, 無(wú)規(guī)共聚聚丙烯3698-701. Parisi G, Ruiz-Lorenzo JJ.
339.Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model. Physical Review B-Condensed Matter, vol.54, no.6, 1 Aug. 1996, pp4170-82. Bonilla LL, Padilla FG, Parisi G, Ritort F.
340.Fluctuations in a spin-glass model with one replica symmetry breaking. Journal of 物理學(xué) A-Mathematical & General, vol.29, no.22, 21 Nov. 1996, ppL569-74. Ferrero ME, Parisi G, Ranieri P.
341. A numerical study of ultrametricity in finite-dimensional spin glasses. Journal of Physics A-Mathematical & General, vol.30, no.9, 7 May 1997, pp.L263-9. Cacciuto A, Marinari E, Parisi G.
342.One-loop contribution to the dynamical exponents in spin glasses. Journal of 物理學(xué) A-Mathematical & General, vol.30, no.12, 21 June 1997, ppL415-21. Parisi G, Ranieri P.
343.Structure of metastable states in spin glasses by means of a three replica potential. Journal of Physics A-Mathematical & General, vol.30, no.13, 7 July 1997, pp4449-66. Cavagna A, Giardina I, Parisi G.
344.An investigation of the hidden structure of states in a 平均數(shù)field spin-glass model. Journal of 物理學(xué) A-Mathematical & General, vol.30, no.20, 21 Oct. 1997, pp.7021-38. Cavagna A, Giardina I, Parisi G.
345.Mean field dynamical exponents in finite-dimensional Ising spin glass. Journal of Physics A-Mathematical & General, vol.30, 二氧化氮0, 21 Oct. 1997, pp7115-31. Parisi G, Ranieri P, Ricci-Tersenghi F, Ruiz-Lorenzo JJ.
346.3D spin glass and 2D ferromagnetic XY model: a comparison. Journal of 物理學(xué) A-Mathematical & General, vol.30, no.21, 7 Nov. 1997, pp7337-47. Iniguez D, Marinari E, Parisi G, Ruiz-Lorenzo JJ.
347.Four-dimensional spin glasses in a magnetic field have a mean-領(lǐng)域like phase. Journal of 物理學(xué) A-Mathematical & General, vol.31, no.4, 30 Jan. 1998, pp1181-7. Marinari E, Parisi G, Zuliani F.
348.Dynamical fluctuations in an exactly solvable model of spin glasses. Journal of Physics A-Mathematical & General, vol.31, no.8, 27 Feb. 1998, pp.1893-900. Campellone M, Parisi G, Ranieri P.
349.Violation of the fluctuation-dissipation theorem in finite-dimensional spin glasses. Journal of 物理學(xué) A-Mathematical & General, vol.31, no.11, 20 March 1998, pp2611-20. Marinari E, Parisi G, Ricci-Tersenghi F, Ruiz-Lorenzo JJ.
350.Stationary points of the Thouless-Anderson-Palmer free 能量 Physical Review B-Condensed Matter, vol.57, no.18, 1 May 1998, pp.11251-7. Cavagna A, Giardina I, Parisi G.
351. 動(dòng)力學(xué) of the four-dimensional spin glass in a magnetic 領(lǐng)域 Physical Review B-Condensed Matter, vol.57, no.21, 1 June 1998, pp13617-23. Parisi G, Ricci-Tersenghi F, Ruiz-Lorenzo JJ.
352.Crossovers in the two-dimensional Ising spin glass with ferromagnetic next-nearest-neighbour interactions. Journal of 物理學(xué) A-Mathematical & General, vol.31, 二氧化氮0, 22 May 1998, pp.4657-68. Parisi G, Ruiz-Lorenzo JJ, Stariolo DA.
353.Numerical simulations of the dynamical behavior of the SK model. European Physical Journal B, vol.2, no.4, April 1998, pp.495-500. Marinari E, Parisi G, Rossetti D.
354.Small window overlaps are effective probes of replica symmetry breaking in three-dimensional spin glasses. Journal of 物理學(xué) A-Mathematical & General, vol.31, 二氧化氮6, 3 July 1998, pp.L481-7. Marinari E, Parisi G, Ricci-Tersenghi F, Ruiz-Lorenzo JJ.
355.General method to determine replica symmetry breaking transitions. Physical Review Letters, vol.81, no.8, 24 Aug. 1998, pp1698-701. Marinari E, Naitza C, Zuliani F, Parisi G, Picco M, Ritort F.
356.Measuring Equilibrium properties in aging systems. Physical Review Letters, vol.81, no.9, 31 Aug. 1998, pp.1758-61. FRANZ S, Mezard M, Parisi G, Peliti L.
357.Crossover behavior of a one-dimensional random 能量 model. Physical Review E. Statistical 物理學(xué), Plasmas, Fluids, & Related Interdisciplinary Topics, vol.58, no.5, Nov. 1998, pp5455-60. Campellone M, FRANZ S, Parisi G.
358.Testing replica predictions in experiments. Nuovo Cimento della Societa Italiana di Fisica D-Condensed Matter Atomic Molecular & Chemical 物理學(xué) Fluids Plasmas 生物物理學(xué), vol.20D, no.7-8, July-Aug. 1998, pp.1221-8. Parisi G. Numerical study of a short-range p-spin glass model in three dimensions. Physical Review B-Condensed Matter, vol.58, no.18, 1 Nov. 1998, pp.12081-9. Campellone M, Coluzzi B, Parisi G.
359.Phase structure of the three-dimensional Edwards-Anderson spin glass. Physical Review B-Condensed Matter, vol.58, no.22, 1 Dec. 1998, pp14852-63. Marinari E, Parisi G, Ruiz-Lorenzo JJ.
360.Finite-dimensional corrections to the mean field in a short-range p-spin glassy model. Physical Review B-Condensed Matter, vol.59, no.2, 1 Jan. 1999, pp1036-45. Campellone M, Parisi G, Ranieri P.
361. Scaling corrections: site percolation and Ising model in three dimensions. Journal of Physics A-Mathematical & General, vol.32, no.1, 8 Jan. 1999, pp.1-13. Ballesteros HG, Fernandez LA, Martin-Mayor V, Sudupe AM, Parisi G, Ruiz-Lorenzo JJ.
362.Glassy Potts model: A disordered Potts model without a ferromagnetic phase. Physical Review B-Condensed Matter, vol.59, no.13, 1 April 1999, pp8401-4. Marinari E, Mossa S, Parisi G.
363.Critical properties of a three-dimensional p-spin model European-Physical-Journal-B. vol.8, no.3; April 1999; p.417-22 Franz-S; ParisIG
364.Ultrametric structure of finite dimensional spin glasses 情結(jié) behaviour of glassy systems. Proceedings. Springer, Berlin, Germany; 1997; p.220-5 Cacciuto-A; Marinari-E; Parisi-G
365.Continuous phase transition in a spin-glass model without 時(shí)間reversal symmetry Physical-Review-E-(Statistical-物理學(xué),-Plasmas,-Fluids,-and-Rela曾卓Intedisciplinary-Topics). vol.60, no.1; July 1999; p.58-68 Parisi-G; Picco-M; Ritort-F
366.Comment on "general method to determine replica symmetry breaking transitions" Physical-Review-Letters. vol.82, no.25; 21 June 1999; p.5174-5 Marinari-E; Parisi_G,Naitza-C; Zuliani-F
367.Comment on "evidence for the droplet picture of spin glasses" Physical-Review-Letters. vol.82, no.25; 21 June 1999; p.5176-7 Marinari-E; Parisi-G; Ruiz-Lorenzo-JJ; Zuliani-F;
368.Generalized off-Equilibrium fluctuation-dissipation relations in random Ising systems European-Physical-Journal-B. vol.11, no.2; Sept. 1999; p.317-25 Parisi-G; Ricci-Tersenghi-F; Ruiz-Lorenzo-JJ
369.The response of glassy systems to random perturbations: A bridge between Equilibrium and off-Equilibrium JOURNAL OF STATISTICAL 物理學(xué) vol. 97, pp. 459-488 NOV 1999 FRANZ S, Mezard M, Parisi G, et al.
370.Comment on "Ising spin glasses in a magnetic field" PHYSICAL REVIEW LETTERS vol. 84 pp. 1056-1056 JAN 31 2000 Marinari E, Parisi G, Zuliani F
371. On the Origin of ultrametricity JOURNAL OF 物理學(xué) A-MATHEMATICAL AND GENERAL vol. 33 pp 113-129 JAN 14 2000 Parisi G, Ricci-Tersenghi F
372.Off-Equilibrium dynamics at very low temperatures in three-dimensional spin glasses JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol. 33 pp. 2373-2382 MAR 31 2000 Marinari E, Parisi G, Ricci-Tersenghi F, et al.
373.Replica symmetry breaking in short-range spin glasses: Theoretical foundations and numerical evidences JOURNAL OF STATISTICAL PHYSICS vol. 98 pp 973-1047 MAR 2000 Marinari E, Parisi G, Ricci-Tersenghi F, et al.
374.P-adic numbers and replica symmetry breaking EUROPEAN PHYSICAL JOURNAL B vol. 14 pp. 535-542 APR 2000 Parisi G, Sourlas N
375.On the 能量 minima of the Sherrington-Kirkpatrick model JOURNAL OF PHYSICS A-MATHEMATICAL 紅黑海參 GENERAL vol. 33 pp 3851-3862 JUN 2 2000 Coluzzi B, Marinari E, Parisi G, et al.
376.?Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical 質(zhì)證s? E?Marinari?, G.?Parisi?, F.?Ricci-Tersenghi?, 約翰·約翰遜?Ruiz-Lorenzo? and F.?Zuliani, J. Stat. Phys. 98, 973. 2000.
377.Comment on "Triviality of the ground state structure in Ising spin glasses" PHYSICAL REVIEW LETTERS vol. 85 pp 3332-3332 OCT 9 2000 Marinari E, Parisi G
378.Effects of changing the boundary conditions on the ground state of Ising spin glasses PHYSICAL REVIEW B vol. 62 pp 11677-11685 NOV 1 2000 Marinari E, Parisi G
379.Non trivial overlap distributions at zero 溫度 EUROPEAN PHYSICAL JOURNAL B vol. 18, pp 485-491 DEC 2000 FRANZ S, Parisi G
380.Renormalization Group Approach to Spin Glass Systems. EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER 物理學(xué) vol. 21, pp 605-609, 2001. PARISI G., PETRONZIO R., ROSATI F.
381. Against 溫度 chaos in naive Thouless-Anderson-Palmer equations. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. vol. 63, pp. 184438, 2001 MULET R., PAGNANI A., PARISI G
382.The Bethe lattice spin glass revisited. EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER 物理學(xué) vol. 20, pp 217-233, 2001. MEZARD M., PARISI G.
383.?Low T Dynamical Properties of spin glasses smoothly extrapolate to T=0. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 35, pp. 6805-6814, 2002. MARINARI E., PARISI G., RUIZ-LORENZO 約翰·約翰遜
384.Spin glasses on Bethe lattices for large coordination number. EUROPEAN PHYSICAL JOU核糖核酸L. B, CONDENSED MATTER 物理學(xué) vol. 30, pp 533-541, 2002. PARISI G., TRIA F
385.? Local overlaps, heterogeneities and the local fluctuation dissipation relations. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 36, pp. 10937-10953 , 2003. PARISI G.
386.The cavity method at zero temperature. JOURNAL OF STATISTICAL 物理學(xué). vol. 111, pp 1 , 2003. M. MEZARD, PARISI G.
387.Aging in spin glasses in three, four and infinite dimensions. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 36, pp. 10755-10771 , 2003. JIMENEZ S., MARTIN-MAYOR V., PARISI G., TARANCON A.
388.?On the formal equivalence of the TAP and thermodynamic methods in the SK model. JOURNAL OF PHYSICS A-MATHEMATICAL 紅黑海參 GENERAL. vol. 36, pp 1175 , 2003. CAVAGNA A., GIARDINA I., MEZARD M., PARISI G.
389.The role of the Becchi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 36, pp 10937 , 2003. ANNIBALE A., CAVAGNA A., GIARDINA I., PARISI G., TREVIGNE E.
390.Metastable configurations on the Bethe lattice. PHYSICAL REVIEW E. vol. 67, pp 26116, 2003. A. PAGNANI, PARISI G., M. RATIEVILLE.
391. Near optimal configurations in mean field disordered systems. PHYSICAL REVIEW E. vol. 68, pp 046706 , 2003. A. PAGNANI, PARISI G., M. RATIEVILLE.
392.Complexity of the Sherrington-Kirkpatrick Model in the Annealed Approximation. PHYSICAL REVIEW. B, CONDENSED MATTER. vol. 68, pp 174401, 2003. A. CRISANTI, L. LEUZZI, PARISI G., T. RIZZO
393.Local excitations in mean field spin glasses. EUROPHYSICS LETTERS. vol. 66, pp. 729-735, 2004. KRZAKALA F., PARISI G.
394.On spin-glass complexity. PHYSICAL REVIEW LETTERS. vol. 92, pp 127203 2004, CRISANTI A., LEUZZI L., PARISI G., RIZZO T.
395.Quenched computation of the complexity of the Sherrington-Kirkpatrick Model. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS 物理學(xué). vol. 70, pp 064423, 2004. CRISANTI A., LEUZZI L., PARISI G., RIZZO T.
396.Numerical study of metastable states in Ising spin glasses. PHYSICAL REVIEW LETTERS. vol. 92, pp. 120603, 2004 CAVAGNA A., GIARDINA I., PARISI G
397.Supersymmetric quenched compexity in the Sherrington-Kirkpatrik model. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER 物理學(xué) vol. 68, pp 061103, 2004 ANNIBALE A., CAVAGNA A., GIARDINA I., PARISI G.
398.On supersymmetry breaking in the computation of the complexity JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol. 37, pp. 7979-7992 AUG 20 2004 Parisi G, RIZZO T
399.On the distribution of the overlaps at given disorder COMPTES RENDUS MATHEMATIQUE vol. 339 pp 303-306 AUG 15 2004 Parisi G, Talagrand M,
400.Cavity method for supersymmetry breaking spin glasses. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS 物理學(xué). vol. 71, pp. 024422, APR 2005 CAVAGNA A., GIARDINA I., PARISI G.
401. Zero-溫度 limit of the supersymmetry-breaking complexity in dilute spin-glass models PHYSICAL REVIEW B vol. 72, 184431 NOV 2005 Parisi G, RIZZO T
402.Spin glasses and fragile glasses: 靜力學(xué), dynamics, and complexity PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA vol. 103 pp. 7948-7955 MAY 23 2006 Parisi G
403.Local spin glass order in 1D EURO物理學(xué) LETTERS vol. 75, pp 385-391 AUG 2006 FRANZ S, Parisi G
404.Ultrametricity in the Edwards-Anderson model? PHYSICAL REVIEW LETTERS vol. 99, 057206 AUG 3 2007 Contucci P, Giardina C, Giberti C, et al.
405.Comment on "Ultrametricity in the Edwards-Anderson Model" - Reply? PHYSICAL REVIEW LETTERS vol. 100, 159702 APR 18 2008 Contucci P, Giardina C, Giberti C, et al.
406.Spin glass theory: Numerical and experimental results in three-dimensional systems PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS vol. 386, pp 611-624 DEC 15 2007 Parisi G
407.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL vol. 41, 324011 AUG 15 2008 FRANZ S, Parisi G, Ricci-Tersenghi F
408.Some considerations of finite-dimensional spin glasses? JOURNAL OF 物理學(xué) A-MATHEMATICAL AND THEORETICAL vol.: 32, 4002 AUG 15 2008 Parisi G
409.Dilute one-dimensional spin glasses with 功率 law decaying interactions PHYSICAL REVIEW LETTERS vol. 101, 107203, SEP 5 2008 Leuzzi L, Parisi G, Ricci-Tersenghi F, et al.
410. Large deviations in the free 能量 of mean-field spin glasses, PHYSICAL REVIEW LETTERS vol. 101, 117205 , SEP 12 2008 Parisi G, Rizzo T,
玻璃
411. Slow 動(dòng)力學(xué) in glasses.? Nuovo Cimento della Societa Italiana di Fisica D-Condensed Matter Atomic Molecular & Chemical Physics Fluids Plasmas Biophysics, vol.16D, ser.1, no.8, Aug. 1994, pp939-47. Italy. Parisi G
412. Slow non-Equilibrium 動(dòng)力學(xué) 25 Years of Non-Equilibrium Statistical Mechanics. Proceedings of the 13th Sitges Conference. Springer-Verlag. 1995, pp.135-42. Berlin, Germany. Parisi G.
413. 量規(guī) theories, spin glasses and real glasses. Proceedings of the Symposium, The Oskar Klein Centenary. World Scientific. 1995, pp60-71. Singapore. Parisi G.
414. A mean-field hard-spheres model of glass. Journal of 物理學(xué) A-Mathematical & General, vol.29, no.7, 7 April 1996, pp.1347 Cugliandolo LF, Kurchan J, Monasson R, Parisi G.
415. Off Equilibrium generalization of mode 耦合 theory. Proceedings of the Workshop Non Equilibrium Phenomena in Supercooled Fluids, Glasses and Amorphous Materials. A Euroconference. World Scientific. 1996, pp134-9. Singapore FRANZ S, Parisi G.
416. 溫度 evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses.? Journal of 物理學(xué) A-Mathematical & General, vol.30, no.16, 21 Aug. 1997, pp.5593-612. Barrat A, FRANZ S, Parisi G.
417. A study of activated processes in soft-sphere glass. Journal of Physics A-Mathematical & General, vol.30, no.17, 7 Sept. 1997, pp.5911-25. Lancaster D, Parisi G.
418. Phase diagram of coupled glassy systems: a mean-field study. Physical Review Letters, vol.79, no.13, 29 Sept. 1997, pp2486-9. FRANZ S, Parisi G.
419. Off-Equilibrium fluctuation-dissipation relation in fragile glasses. Physical Review Letters, vol.79, no.19, 10 Nov. 1997, pp.3660-3. Parisi G.
420.Short-time aging in binary glasses. Journal of 物理學(xué) A-Mathematical & General, vol.30, no.22, 21 Nov. 1997, ppL765-70. Parisi G.
421. Numerical indications for the existence of a thermodynamic transition in binary glasses. Journal of Physics A-Mathematical & General, vol.30, no.24, 21 Dec. 1997, pp8523-39. Parisi G.
422.Effective potentials in glassy systems. Taylor & Francis. Philosophical Magazine B-物理學(xué) of Condensed Matter Structural Electronic Optical & Magnetic Properties, vol.77, no.2, Feb. 1998, pp.239-43. FRANZ S, Parisi G.
423.Non-Equilibrium fluctuation-dissipation relations in binary glasses. Taylor & Francis. Philosophical Magazine B-物理學(xué) of Condensed Matter Structural Electronic Optical & Magnetic Properties, vol.77, no.2, Feb. 1998, pp257-63. UK. Parisi G.
424.Glass transition and effective potential in the hypernetted chain approximation.? Journal of Physics A-Mathematical & General, vol.31, no.9, 6 March 1998, pp.L163-9. Cardenas M, FRANZ S, Parisi G.
425.On the approach to the Equilibrium and the Equilibrium properties of a glass-forming model.? Journal of 物理學(xué) A-Mathematical & General, vol.31, no.19, 15 May 1998, pp.4349-68. Coluzzi B, Parisi G.
426.On the replica method for glassy systems. EDP Sciences. Journal de Physique IV, vol.8, no.6, Oct. 1998, pp39-47. France. Parisi G.
427.Potential 能量 landscape of simple structural glasses. EDP Sciences. Journal de Physique IV, vol.8, no.6, Oct. 1998, pp.69-73. France. Angelani L, Parisi G, Ruocco G.
428.Exploring the configuration space of glassy models. EDP Sciences. Journal de Physique IV, vol.8, no.6, Oct. 1998, pp69-73. France. Barrat A, Cavagna A, FRANZ S, Giardina I, Parisi G.
429.Connected network of minima as a model glass: long 時(shí)間 dynamics. Physical Review Letters, vol.81, no.21, 23 Nov. 1998, pp.4648-51. Angelani L, Parisi G, Ruocco G, Viliani G.
430.Constrained Boltzmann-Gibbs measures and effective potential for glasses in hypernetted chain approximation and numerical simulations.? Journal of Chemical 物理學(xué), vol.110, no.3, 15 Jan. 1999, pp.1726-34. Cardenas M, FRANZ S, Parisi G.
431. Thermo動(dòng)力學(xué) of glasses: a first principles computation. Physical Review Letters, vol.82, no.4, 25 Jan. 1999, pp747-50. P Mezard M, Parisi G.
432.Effective potential in glassy systems: theory and simulations. Physica A, vol.261, no.3-4, 15 Dec. 1998, pp.317-39. FRANZ S, Parisi G.
433.Slow 動(dòng)力學(xué) of glassy systems Complex behaviour of glassy systems. Proceedings. Springer, Berlin, Germany; 1997 Parisi-G
434.An increasing correlation length in off-Equilibrium glasses? Journal-of-物理化學(xué)B. vol.103, no.20; 20 May 1999; p.4128-31 Parisi-G
435.A first-principle computation of the thermo動(dòng)力學(xué) of glasses Journal-of-化學(xué)物理學(xué) vol.111, no.3; 15 July 1999; p.1076-95 Mezard-M; Parisi-G
436.Analytic computation of the instantaneous normal modes spectrum in low-密度 liquids. Physical-Review-Letters. vol.83, no.1; 5 July 1999; p.108-11 Cavagna-A; Giardina-I; Parisi-G.
437.Thermo動(dòng)力學(xué) of binary 混合物 glasses Journal-of-化學(xué)物理學(xué) vol.111, no.19; 15 Nov. 1999; p.9039-52 Coluzzi-B; Mezard-M; Parisi-G; Verrocchio-P
438.On dynamical correlations in supercooled liquids Philosophical-彈匣B-(物理學(xué)of-Condensed-Matter:-Statistical-Mechancs,-Electronic,-Optical-and-Magnetic-Properties. vol.79, no.11-12; Nov.-Dec. 1999; p.1827-31 FRANZ-S; Donati-C; Parisi-G; Glotzer-SC.
439.A model for the long 時(shí)間 動(dòng)力學(xué) in a simple glass: Off-Equilibrium properties Philosophical-彈匣B-(物理學(xué)of-Condensed-Matter:-Statistical-Mechancs,-Electronic,-Optical-and-Magnetic-Properties. vol.79, no.11-12; Nov.-Dec. 1999; p.1987-92 Angelani-L; Parisi-G; Ruoc柯克船; Viliani-G
440.Thermo動(dòng)力學(xué) of glasses: a first principles computation JOURNAL OF 物理學(xué)CONDENSED MATTER vol. 11 pp A157-A165 MAR 15 1999 Mezard M, Parisi G
441. Analytic computation of the instantaneous normal modes spectrum in low-密度 liquids PHYSICAL REVIEW LETTERS vol. 83 pp. 108-111 JUL 5 1999 Cavagna A, Giardina I, Parisi G
442.New ideas in glass transitions NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D vol. pp 2339-2348 DEC 1998 Parisi G
443.Spectra of euclidean random matrices NUCLEAR 物理學(xué) B vol. 559 pp 689-701 OCT 25 1999 Mezard M, Parisi G, Zee A
444.A pedagogical introduction to the replica method for glasses PHILOSOPHICAL 彈匣 B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES vol. 79 pp 1775-1782 NOV-DEC 1999 Parisi G
445.The response of glassy systems to random perturbations: A bridge between Equilibrium and off-Equilibrium JOURNAL OF STATISTICAL 物理學(xué) vol. 97, pp 459-488 NOV 1999 Franz S, Mezard M, Parisi G, et al.
446.Thermodynamical 羧基液體丁腈橡膠glass transition in a Lennard-Jones binary 混合物 PHYSICAL REVIEW LETTERS vol. 84 pp. 306-309 JAN 10 2000 Coluzzi B, Parisi G, Verrocchio P
447.Lennard-Jones binary mixture: A thermodynamical approach to glass transition JOURNAL OF CHEMICAL 物理學(xué) vol. 112 pp 2933-2944 FEB 8 2000 Coluzzi B, Parisi G, Verrocchio P
448.Physics of glassy systems NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS vol. 83-4 pp. 82-92 APR 2000 Parisi G
449.The physics of the glass transition PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS vol. 280 pp 115-124 MAY 15 2000 Parisi G
450.Thermo動(dòng)力學(xué) of a tiling model JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol. 33 pp 4215-4225 JUN 16 2000 Leuzzi L, Parisi G
451. Statistical physics of structural glasses JOURNAL OF 物理學(xué)CONDENSED MATTER vol. 12 pp 6655-6673 JUL 24 2000 Mezard M, Parisi G.
452.On non-linear susceptibility in supercooled 羧基液體丁腈橡膠s JOURNAL OF PHYSICS-CONDENSED MATTER vol. 12 pp 6335-6342 JUL 24 2000 Franz S, Parisi G
453.A new approach for the analytic computation of the instantaneous normal modes spectrum : JOURNAL OF 物理學(xué)CONDENSED MATTER vol. 12 pp. 6295-6304 JUL 24 2000, Cavagna A, Giardina I, Parisi G
454.Toy model for the mean-field theory of hard-sphere liquids PHYSICAL REVIEW E vol. 62 pp 6554-6559 NOV 2000 Parisi G, Slanina F
455.Topological 描寫(xiě)文 of the aging dynamics in simple glasses PHYSICAL REVIEW LETTERS vol. 87, pp 055502 JUL 30 2001 Angelani L, Di Leonardo R, Parisi G, et al
456.The dynamical structure factor in topologically disordered systems. JOURNAL OF CHEMICAL 物理學(xué). vol. 114, pp 8068, 2001. MARTIN-MAYOR V., MEZARD M., PARISI G., VERROCCHIO P.
457.Fast Monte Carlo algorithm for supercooled soft spheres. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER 物理學(xué). vol. 63, pp. 045102, 2001. GRIGERA SS501, PARISI G.
458.Role of saddles in mean-field dynamics above the glass transition. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 34, pp. 5317, 2001. CAVAGNA A., GIARDINA I., PARISI G.
459.Vibrational Spectrum of Topologically Disordered Systems. PHYSICAL REVIEW LETTERS. vol. 87, pp. 085502-085505, 2001. GRIGERA T., MARTIN-MAYOR V., PARISI G., VERROCCHIO P.
460.Topological 描寫(xiě)文 of the Aging Dynamics in Simple Glasses. PHYSICAL REVIEW LETTERS. vol. 87, pp 085502-085505, 2001. ANGELANI L., DI LEONARDO R., PARISI G., RUOCCO G
461. ?Reply to comment on "Two times scales and violation of the Fluctuation-dissipation Theorem in a finite dimensional model for structural glasses". PHYSICAL REVIEW LETTERS. vol. 86, pp. 4717, 2001. ARENZON 約翰·約翰遜, PARISI G., RICCI-TERSENGHI F., STARIOLO D.A.
462.Euclidean random matrices, the glass transition and the boson peak. EUROPEAN PHYSICAL JOURNAL E. vol. 9, pp. 213-218, 2002. PARISI G.
463.Vibrations in glasses and Euclidean Random Matrix theory. JOURNAL OF PHYSICAL CHEMISTRY. B, CONDENSED MATTER, MATERIALS, SURFACES, INTERFACES & BIOPHYSICAL. vol. 14, pp. 2167-2179, 2002. GRIGERA SS501, MARTIN-MAYOR V., PARISI G., VERROCCHIO P
464.Vibrational spectra in glasses. PHILOSOPHICAL 彈匣 B. 物理學(xué) OF CONDENSED MATTER. STATISTICAL MECHANICS, ELECTRONIC, OPTICAL AND MAGNETIC PROPERTIES. vol. 82, pp 637-649, 2002. GRIGERA T. S., MARTIN-MAYOR V., PARISI G.,
465.Kob-Andersen model: A nonstandard mechanism for the glassy transition. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER 物理學(xué). vol. 65, pp 021506, 2002. FRANZ S., MULET R., PARISI G.
466.Potential 能量 landscape and long-time dynamics in a simple model glass PHYSICAL REVIEW E vol. 61 pp 1681-1691 FEB 2000 Angelani L, Parisi G, Ruocco G, et al
467.Off-Equilibrium effective temperature in monatomic Lennard-Jones glass PHYSICAL REVIEW LETTERS vol. 84 pp. 6054-6057 JUN 26 2000 Di Leonardo R, Angelani L, Parisi G, et al.
468.Dynamical structure factor in disordered systems PHYSICAL REVIEW E vol. 62 pp. 2373-2379 AUG 2000 Martin-Mayor V, Parisi G, Verrocchio P
469.Glassy transition in a disordered model for the RNA secondary structure PHYSICAL REVIEW LETTERS vol. 84 pp 2026-2029 FEB 28 2000 Pagnani A, Parisi G, Ricci-Tersenghi F
470.Comment on "Two time scales and violation of the fluctuation-dissipation theorem in a finite dimensional model for structural glasses". PHYSICAL REVIEW LETTERS. vol. 86, pp 4717, 2001. RICCI-TERSENGHI F., PARISI G., STARIOLO D. A., ET AL.
471. Reply to the comment on 'Glassy Transition in a Disordered Model for the RNA Secondary Structure'. PHYSICAL REVIEW LETTERS. vol. 86, pp 1383, 2001. PAGNANI A., PARISI G., RICCI-TERSENGHI F.
472.Off-Equilibrium dynamics in the 能量 landscape of a simple model glass. PHILOSOPHICAL 彈匣 B. PHYSICS OF CONDENSED MATTER. STATISTICAL MECHANICS, ELECTRONIC, OPTICAL AND MAGNETIC PROPERTIES. vol. 82, pp. 163-169, 2002. DI LEONARDO R., ANGELANI L., PARISI G., ET AL.
473.Geometric approach to the dynamic glass transition. PHYSICAL REVIEW LETTERS. vol. 88, pp 055502, 2002. CAVAGNA A., GIARDINA I., GRIGERA SS501, PARISI G
474.Growing length scales in a supercooled liquid close to an 接口 PHILOSOPHICAL 彈匣 B. PHYSICS OF CONDENSED MATTER. STATISTICAL MECHANICS, ELECTRONIC, OPTICAL AND MAGNETIC PROPERTIES. vol. 82, pp. 283, 2002. BINDER K., KOB W., PARISI G., SCHEIDLER.
475.Phonons in supercooled liquids: a possible explanation for the Boson Peak. NATURE. vol. 422, pp 289-292, 2003. T. S. GRIGERA, V. MARTIN-MAYOR, PARISI G., P. VERROCCHIO.
476.On the Origin of the boson peak. JOURNAL OF PHYSICS-CONDENSED MATTER. vol. 15, pp. S765-S774, 2003. PARISI G.
477.Fragility in p-spin models. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. vol. 69, pp 061505, 2004. PARISI G., RUOCCO G., ZAMPONI F.,
478.AGB星 aging in structural glasses. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS 物理學(xué) vol. 70, pp. 014202 2004 GRIGERA T. S., MARTIN-MAYOR V., PARISI G., VERROCCHIO P.
479.The ideal glass transition of hard spheres : JOURNAL OF CHEMICAL PHYSICS vol. 123,144501 OCT 8 2005 Parisi G, Zamponi F
480.Amorphous packings of hard spheres for large space dimension? JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT MAR 2006 Parisi G, Zamponi F
481. On the most compact regular lattices in large dimensions: A statistical mechanical approach JOURNAL OF STATISTICAL PHYSICS vol. 132, pp 207-234 JUL 2008 Parisi G.
優(yōu)化
482.Replicas and Optimization, with M. Mézard, J. Phys. Lettres 46 (1985) L771.
483.Spin Glasses and Optimization Problems Without Replicas in Le Hasard et la Matière, Les Houches, Session XLVI, edited by J. Souletie, J. Vannimenus and R. Stora, (Elsevier, ???????????? Amsterdam, Netherlands 1987).
484.On the Solution of the Random Link Matching Problems, with M. Mézard, J. de Physique 48 (1987) 1451.
485.The Euclidean Matching Problem, with M. Mézard, J. Physique 49 (1988) 2019.
486.On the Replica Symmetry for Random Weighted Matchings, with R. Brunetti and F. Ritort, J. Phys. A (數(shù)學(xué) Gen.) 24 (1991) 5077.
487.Extensive Numerical Simulations of Weighted Matchings: Total Length and Distribution of Links in the Optimal Solution, with R.?Brunetti, W.?Krauth and M.?Mézard, Europhys. Lett. 14 ???????????? (1991) 295-301.
488.On the finite 開(kāi)本 corrections to some random matching problems. EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER 物理學(xué). vol. 29, pp. 457-468, 2002. PARISI G., RATIEVILLE M.
489.Neighborhood preferences in random matchig problems. EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. vol. 22, pp 229-237, 2001. PARISI G., RATIEVILLE M.,
490.The K-sat problem in a simple 極限 JOURNAL OF STATISTICAL 物理學(xué). vol. 103, pp. 679-695, 2001. LEUZZI L., PARISI G.
491. Analytic and algorithmic solution of random satisfiability problems. SCIENCE. vol. 297, pp 812-815, 2002. MEZARD M., PARISI G., ZECCHINA R.
492.The 3-SAT problem with large number of clauses in $infty$-replica symmetry breaking Scheme JOURNAL OF 物理學(xué) A-MATHEMATICAL AND GENERAL. vol. 35, pp. 481-497 , 2002. CRISANTI A., LEUZZI L., PARISI G.
493.不穩(wěn)定性 of one-step replica-symmetry-broken phase in satisfiability problems. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. vol. 37, pp. 2073, 2004. MONTANARI A., PARISI G., RICCI-TERSENGHI F.
494.Statistical mechanics of optimization problems? PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS vol. 365 pp 1-6 JUN 1 2006 Parisi G
495.On the high 密度 behavior of Hamming codes with fixed minimum distance? JOURNAL OF STATISTICAL PHYSICS vol. 123, pp. 1145-1167 JUN 2006 Parisi G, Zamponi F.
496.Finite 開(kāi)本 corrections to random Boolean networks JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, P12012 DEC 2006 Leone M, Pagnani A, Parisi G, et al.
免疫學(xué)
497.Immunological memory in a network 透視, in Chaos and complexity, World Sci. Publishing, Singapore (1987).
498.Interaction of HIV Infection with Nervous Tissue May Play a Crucial Role in the Development of 艾滋病, Ann. Inst. Pasteur 139 (1988) 467-476.
499.Two signals from B cells 監(jiān)察 the expansion of T cells, only one is imunologically specific, Ann. Inst. Pasteur 139 (1988) 177.
500.Networks in Immunology, Phys. Rep. 184 (1989) 283.
501. A simple model for the immune network, Proc. Nat. Acad. Sci. of USA 87 (1990) 87.
502.Learning and memory in spin-glass-like immune networks.? Network-Computation in Neural Systems, vol.4, no.1, Feb. 1993, pp.39-65. UK. Lefevre O, Parisi G.
503.An introduction to the immune network. Nuovo Cimento A, vol.107A, ser.2, no.7, July 1994, pp.1175-82. Italy. Parisi G.
504.?
神經(jīng)網(wǎng)絡(luò)與學(xué)習(xí)
505.A memory which forgets, J. of Phys. A19 (1986) L617.
506.Asymmetric Neural Networks and the Process of Learning, J. Phys. A (數(shù)學(xué) Gen.) 19 (1986) L675.
507.Neural potentials as stimuli for attractor neural networks, with D. J. Amit and S. Nicolis, Network 1 (1990) 75
508.Generalization of Rules by Neural Nets, with F.?Slanina, Europhys. Lett. 17 (1992) 497-502.
509.On the classification of learning machines. Network-Computation in Neural Systems, vol.3, no.3, Aug. 1992, pp259-65. UK. Parisi G.
510. Attractors in fully asymmetric neural networks. Journal of Physics A-Mathematical & General, vol.30, no.16, 21 Aug. 1997, pp.5613-31. Bastolla U, Parisi G.
動(dòng)物行為
511. Interaction ruling 動(dòng)物界 collective behavior depends on topological rather than metric distance: Evidence from a field study PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA vol. 105, pp. 1232-1237 JAN 29 2008 Ballerini M, Calbibbo N, Candeleir R, et al.
512. The STARFLAG handbook on collective 動(dòng)物界 behaviour: 2. Three-dimensional analysis ANIMAL BEHAVIOUR vol. 76 pp. 237-248 JUL 2008 Cavagna A, Giardina I, Orlandi A, et al.
513. The STARFLAG handbook on collective animal behaviour: 1. Empirical methods 動(dòng)物界 BEHAVIOUR vol. 76 pp. 217-236 JUL 2008? Cavagna A, Giardina I, Orlandi A, et al.
514. Empirical investigation of starling flocks: a benchmark study in collective animal behaviour, ANIMAL BEHAVIOUR vol. 76 pp. 201-215 JUL 2008 Ballerini M, Cabibbo N, Candelier R, et al
515. New statistical 工器具 for analyzing the structure of 動(dòng)物界 groups MATHEMATICAL BIOSCIENCES vol. 214, pp. 32-37 JUL-AUG 2008 Cavagna A, Cimarelli A, Giardina I, et al.
其他
516. Experimental Check of Non-Linear Effects in Al thin films close to Tc+, with G. Lucano et al., Phys. Lett. 42A (1972) 235.
517. On Non-Linear External Field Effects in Quasi-Superconducting Films, Phys. Lett. 42A (1972) 233.
518. On the Mean Life-Time of the Persistent Current in a 2d 超導(dǎo)體, Phys. Lett. 43A (1973) 379.
519. Quartic Oscillator, with R. Balian and A. Voros, in Feynman Path Integrals, p. 337, edited by S. Albeverio et al. (Springer-Verlag, Berlin, Germany 1979).
520.Trace Identities for the Schroedinger Operator and the WKB Method, in The Riemann Problem, Complete Integrability and Arithmetic Applications, p. 78 (Springer, Berlin, Germany, 1982).
521. On the Quantum Few-Body Problem, with R. Alzetta and T. Semeraro, Nucl. Phys. B235 [FS11] (1984) 576.
522.On p-adic 泛函 integrals, MOD Phys. Lett. A3 (1988) 639.
523.Brownian motion NATURE vol. 433, pp. 221-221 JAN 20 2005 Parisi G ,
524.Conference registration: how people react to a deadline NATURE PHYSICS vol. 3, pp. 746-746 NOV 2007 Alfi V, Parisi G, Pietronero L.
525.Thus spoke Galileo: The great scientist's ideas and their relevance to the present day NATURE vol. 442, pp. 248-249 JUL 20 2006 Parisi G
526.Maximally multipartite entangled states PHYSICAL REVIEW A vol. 77, JUN 2008 Facchi P, Florio G, Parisi G, et al.
527.Phase transitions of bipartite entanglement? PHYSICAL REVIEW LETTERS vol. 101, 050502 AUG 1 2008 Facchi P, Marzolino U, Parisi G, et al.
以上資料來(lái)源：
主要圖書(shū)
以上資料來(lái)源：
榮譽(yù)獎(jiǎng)項(xiàng)
以上資料來(lái)源：
人物評(píng)價(jià)
“他是近幾十年來(lái)最有創(chuàng)造力和影響力的理論物理學(xué)家之一。他的工作對(duì)物理科學(xué)的不同分支產(chǎn)生了巨大的影響，包括粒子物理、臨界現(xiàn)象、無(wú)序系統(tǒng)以及優(yōu)化理論和數(shù)學(xué)物理。”——2021年沃爾夫獎(jiǎng)頒獎(jiǎng)詞
“他的發(fā)現(xiàn)是對(duì)復(fù)雜系統(tǒng)理論最重要的貢獻(xiàn)之一。這些發(fā)現(xiàn)使我們能夠理解和描述許多不同的，看似完全隨機(jī)的材料和現(xiàn)象，不僅僅局限于物理學(xué)，還包括其他非常不同的領(lǐng)域，如數(shù)學(xué)、生物學(xué)、神經(jīng)科學(xué)和機(jī)器學(xué)習(xí)。”——2021年諾貝爾物理學(xué)獎(jiǎng)頒獎(jiǎng)詞
參考資料 >
Giorgio Parisi - Explore Facts.The Nobel Prize.2023-09-01
In a Flight of Starlings.豆瓣讀書(shū).2023-09-02
喬治·帕里西 Giorgio Parisi.豆瓣.2024-05-21
中意科學(xué)合作穩(wěn)定富有成效.百家號(hào).2024-05-21
Il fisico Giorgio Parisi eletto presidente dell'Accademia dei Lincei.ansa.2024-05-22
重磅消息:意大利羅馬一大教授喬治?帕里西(Giorgio Parisi)獲得2021年諾貝爾物理學(xué)獎(jiǎng).澎湃.2023-09-02
諾貝爾物理學(xué)獎(jiǎng)揭曉：明確支持全球變暖理論 | 新京報(bào)快評(píng).今日頭條.2023-09-02
New Simons Collaboration: Cracking the Glass Problem.Simons Foundation.2023-09-02
GIORGIO PARISI.SAPIENZA UNIVERSITA DI ROMA.2024-05-28
Giorgio Parisi.NATIONAL ACADEMY OF SCIENCES.2024-05-28
2021年沃爾夫獎(jiǎng)揭曉!7位華人科學(xué)家曾獲獎(jiǎng).科學(xué)網(wǎng).2023-09-02
47 new Fellows elected to TWAS.twas.2024-05-22
諾貝爾物理學(xué)獎(jiǎng)解讀:他們?cè)趶?fù)雜系統(tǒng)中尋找隱藏的秘密.澎湃新聞.2023-09-02
臨界的鳥(niǎo)群與復(fù)雜系統(tǒng)——2021年諾獎(jiǎng)得主Giorgio Parisi的集體行為研究.讀書(shū)會(huì).2023-09-02
Scale-free correlations in starling flocks.PNAS.2023-09-02
臨界的鳥(niǎo)群與復(fù)雜系統(tǒng)——2021年諾獎(jiǎng)得主Giorgio Parisi的集體行為研究.澎湃新聞.2023-09-02
剛剛，2021諾貝爾物理學(xué)獎(jiǎng)?lì)C給了研究復(fù)雜物理系統(tǒng)的他們.新浪財(cái)經(jīng).2023-09-02
::Giorgio Parisi::.Giorgio Parisi.2023-09-03
Giorgio Parisi is Nobel Prize in Physics.uniroma1.2024-05-22