Edit Profile (opens in new tab) Parisi, Giorgio Compute Distance To: Compute Author ID: parisi.giorgio Published as: Parisi, Giorgio; Parisi, G. External Links: ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Awards: Nobel Prize in Physics (2021) Documents Indexed: 152 Publications since 1978, including 6 Books 2 Further Contributions Biographic References: 1 Publication Co-Authors: 136 Co-Authors with 124 Joint Publications 1,548 Co-Co-Authors all top 5 Co-Authors 30 single-authored 22 Marinari, Enzo 21 Ricci-Tersenghi, Federico 17 Ruiz-Lorenzo, Juan Jesus 11 Franz, Silvio 10 Mézard, Marc 9 Martín-Mayor, Victor 8 Rizzo, Tommaso 7 Fernández, Luis Antonio 7 Zamponi, Francesco 6 Bastolla, Ugo 6 Cavagna, Andrea 6 Giardina, Irene 6 Pascazio, Saverio 5 Facchi, Paolo 5 Sourlas, Nicolas 4 Iñiguez, David 4 Kurchan, Jorge 4 Maiorano, Andrea 4 Marzolino, Ugo 4 Ranieri, Paola 4 Tarancón, Alfonso 4 Urbani, Pierfrancesco 4 Yllanes, D. 3 Auletta, Gennaro 3 Benzi, Roberto 3 Cruz, Andres 3 Florio, Giuseppe 3 Gordillo-Guerrero, A. 3 Leuzzi, Luca 3 Lucibello, Carlo 3 Navarro, Denis 3 Pérez-Gaviro, Sergio 3 Ritort, Felix 3 Scardicchio, Antonello 3 Schifano, Sebastiano Fabio 3 Tripiccione, Raffaele 3 Virasoro, Miguel Angel 3 Zuliani, Francesco 2 Altieri, Ada 2 Baity-Jesi, Marco 2 Ballesteros, H. G. 2 Biscari, Paolo 2 Brézin, Edouard 2 Campellone, Matteo 2 Cimarelli, Alessio 2 Coluzzi, Barbara 2 Ferrero, M. E. 2 Fortunato, Mauro 2 Gil-Narvion, J. M. 2 Lancaster, David J. 2 Malatesta, Enrico M. 2 Mantovani, Filippo 2 Moreno-Gordo, J. 2 Rocchi, Jacopo 2 Santagati, Raffaele 2 Seoane, Beatriz 2 Sicuro, Gabriele 2 Stefanini, Fabio 2 Sudupe, A. Muñoz 2 Vulpiani, Angelo 1 Amit, Daniel J. 1 Angelini, Maria Chiara 1 Annibale, Alessia 1 Balian, Roger 1 Baños, R. A. 1 Barrat, Alain 1 Barucca, Paolo 1 Belletti, Francesco 1 Benettin, Giancarlo 1 Bernaschi, Massimo 1 Biferale, Luca 1 Billoire, Alain 1 Cacciuto, Angelo 1 Calabrese, Pasquale 1 Calore, E. 1 Caracciolo, Sergio 1 Cardenas, Miguel 1 Charbonneau, Patrick 1 Contucci, Pierluigi 1 Crisanti, Andrea 1 Cugliandolo, Leticia F. 1 de Gennes, Pierre-Gilles 1 De Pasquale, Antonella 1 Dean, David S. 1 Fytas, Nikolaos G. 1 Giardinà, Cristian 1 Giberti, Claudio 1 Giovannetti, Vittorio 1 Goldbart, Paul M. 1 Goldenfeld, Nigel 1 Gonzalez-Adalid Pemartin, I. 1 Guidetti, M. 1 Hwang, Sungmin 1 Itzykson, Claude 1 Kardar, Mehran 1 Lanza, Enrico 1 Lefèvre, O. 1 Livi, Roberto 1 Mariano, Angelo 1 Monasson, Rémi ...and 40 more Co-Authors all top 5 Serials 54 Journal of Physics A: Mathematical and General 23 Journal of Statistical Mechanics: Theory and Experiment 13 Journal of Statistical Physics 9 Journal of Physics A: Mathematical and Theoretical 5 Nuclear Physics. B 4 Physica D 3 Physical Review Letters 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Physics Letters. B 2 Network (Bristol) 2 World Scientific Lecture Notes in Physics 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Fractals 1 The Bulletin of Symbolic Logic 1 New Journal of Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Scientia Sinica 1 Frontiers in Physics 1 International Series of Monographs on Physics 1 Journal de Physique all top 5 Fields 129 Statistical mechanics, structure of matter (82-XX) 23 Quantum theory (81-XX) 22 Probability theory and stochastic processes (60-XX) 11 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 4 Combinatorics (05-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,862 times in 1,649 Documents Cited by ▼ Year ▼ Dynamic scaling of growing interfaces. Zbl 1101.82329Kardar, Mehran; Parisi, Giorgio; Zhang, Yi-Cheng 593 1986 Spin glass theory and beyond. Zbl 0992.82500Mézard, Marc; Parisi, Giorgio; Virasoro, Miguel Angel 312 1987 Planar diagrams. Zbl 0997.81548Brézin, E.; Itzykson, C.; Parisi, G.; Zuber, J. B. 286 1978 The cavity method at zero temperature. Zbl 1014.82032Mézard, Marc; Parisi, Giorgio 37 2003 A theory of stochastic resonance in climatic change. Zbl 0509.60059Benzi, Roberto; Parisi, Giorgio; Sutera, Alfonso; Vulpiani, Angelo 37 1983 Supersymmetric field theories and stochastic differential equations. Zbl 0968.81547Parisi, G.; Sourlas, N. 34 1982 Replica symmetry breaking and the nature of the spin glass phase. Zbl 0968.82528Mézard, M.; Parisi, G.; Sourlas, N.; Toulouse, G.; Virasoro, M. 33 1984 Statistical field theory. With a foreword by David Pines. Zbl 0984.81515Parisi, Giorgio 33 1988 From empirical data to inter-individual interactions: unveiling the rules of collective animal behavior. Zbl 1197.92053Cavagna, Andrea; Cimarelli, Alessio; Giardina, Irene; Parisi, Giorgio; Santagati, Raffaele; Stefanini, Fabio; Tavarone, Raffaele 31 2010 Replica symmetry breaking in short-range spin glasses: Theoretical foundations and numerical evidences. Zbl 1015.82037Marinari, Enzo; Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J.; Zuliani, Francesco 21 2000 Characterization of intermittency in chaotic systems. Zbl 0578.58027Benzi, Roberto; Paladin, Giovanni; Parisi, Giorgio; Vulpiani, Angelo 19 1985 Foundations and interpretation of quantum mechanics. In the light of a critical-historical analysis of the problems and of a synthesis of the results. With a Foreword by Giorgio Parisi. Zbl 0965.81001Auletta, Gennaro 18 2000 Quartic oscillator. Zbl 0417.34094Balian, R.; Parisi, G.; Voros, A. 16 1979 Perturbation theory without gauge fixing. Zbl 1480.81051Parisi, G.; Wu, Yong Shi 15 1981 Phase transitions of bipartite entanglement. Zbl 1228.82018Facchi, P.; Marzolino, U.; Parisi, G.; Pascazio, S.; Scardicchio, A. 14 2008 Critical behavior of branched polymers and the Lee-Yang edge singularity. Zbl 0969.82030Parisi, Giorgio; Sourlas, Nicolas 13 1981 Multipartite entanglement and frustration. Zbl 1360.81056Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 13 2010 The modular structure of Kauffman networks. Zbl 0938.82044Bastolla, U.; Parisi, G. 12 1998 The crossover region between long-range and short-range interactions for the critical exponents. Zbl 1318.82017Brezin, E.; Parisi, G.; Ricci-Tersenghi, F. 12 2014 Replica field theory for deterministic models. II: A non-random spin glass with glassy behaviour. Zbl 0843.60097Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 12 1994 Instability of one-step replica-symmetry-broken phase in satisfiability problems. Zbl 1116.82308Montanari, Andrea; Parisi, Giorgio; Ricci-Tersenghi, Federico 11 2004 On the one-dimensional discretized string. Zbl 1332.81185Parisi, Giorgio 10 1990 Critical exponents of the KPZ equation via multi-surface coding numerical simulations. Zbl 0970.82023Marinari, Enzo; Pagnani, Andrea; Parisi, Giorgio 10 2000 Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study. Zbl 0938.82043Bastolla, U.; Parisi, G. 9 1998 On the distribution of the overlaps at given disorder. Zbl 1069.82007Parisi, Giorgio; Talagrand, Michel 9 2004 On the interpretation of 1/f noise. Zbl 0532.60062Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P. 9 1983 On intermittency in a cascade model for turbulence. Zbl 0771.76027Benzi, R.; Biferale, L.; Parisi, G. 9 1993 The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium. Zbl 0958.82052Franz, Silvio; Mézard, Marc; Parisi, Giorgio; Peliti, Luca 8 1999 Spectra of Euclidean random matrices. Zbl 0970.82021Mézard, M.; Parisi, G.; Zee, A. 8 1999 The simplest model of jamming. Zbl 1342.82111Franz, Silvio; Parisi, Giorgio 8 2016 Quantum mechanics. Zbl 1187.81001Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 8 2009 Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks. Zbl 0952.82023Bastolla, Ugo; Parisi, Giorgio 7 1998 Closing probabilities in the Kauffman model: An annealed computation. Zbl 0884.68091Bastolla, U.; Parisi, G. 7 1996 An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature. Zbl 1172.82337Belletti, F.; Cruz, A.; Fernandez, L. A.; Gordillo-Guerrero, A.; Guidetti, M.; Maiorano, A.; Mantovani, F.; Marinari, E.; Martin-Mayor, V.; Monforte, J.; Sudupe, A. Muñoz; Navarro, D.; Parisi, G.; Perez-Gaviro, S.; Ruiz-Lorenzo, J. J.; Schifano, S. F.; Sciretti, D.; Tarancon, A.; Tripiccione, R.; Yllanes, D. 7 2009 On the origin of ultrametricity. Zbl 0969.82014Parisi, Giorgio; Ricci-Tersenghi, Federico 6 2000 Statistical mechanics of multipartite entanglement. Zbl 1155.82004Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2009 Scaling corrections: Site percolation and Ising model in three dimensions. Zbl 0941.82009Ballesteros, H. G.; Fernández, L. A.; Martín-Mayor, V.; Sudupe, A. Muñoz; Parisi, G.; Ruiz-Lorenzo, J. J. 6 1999 Field theory, disorder and simulations. Zbl 0875.81002Parisi, Giorgio 6 1992 Classical statistical mechanics approach to multipartite entanglement. Zbl 1189.81016Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2010 Theory of simple glasses. Exact solutions in infinite dimensions. Zbl 1431.82001Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 6 2020 Attractors in fully asymmetric neural networks. Zbl 0961.82505Bastolla, U.; Parisi, G. 5 1997 \(D\)-dimensional arrays of Josephson junctions, spin glasses and \(q\)-deformed harmonic oscillators. Zbl 0844.60095Parisi, Giorgio 5 1994 The mean field theory of spin glasses: the heuristic replica approach and recent rigorous results. Zbl 1375.82053Parisi, Giorgio 5 2009 New statistical tools for analyzing the structure of animal groups. Zbl 1143.92331Cavagna, Andrea; Cimarelli, Alessio; Giardina, Irene; Orlandi, Alberto; Parisi, Giorgio; Procaccini, Andrea; Santagati, Raffaele; Stefanini, Fabio 5 2008 Exact theory of dense amorphous hard spheres in high dimension. III: The full replica symmetry breaking solution. Zbl 1456.82236Charbonneau, Patrick; Kurchan, Jorge; Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 5 2014 Quantum mechanics. Reprint of the 2009 hardback ed. Zbl 1286.81002Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 4 2014 Mean-field equations for spin models with orthogonal interaction matrices. Zbl 0868.60052Parisi, Giorgio; Potters, Marc 4 1995 On the statistical properties of the large time zero temperature dynamics of the SK model. Zbl 1140.82309Parisi, Giorgio 4 2003 Stochastic stability. Zbl 1046.82018Parisi, Giorgio 4 2001 An investigation of the hidden structure of states in a mean-field spin-glass model. Zbl 0925.82201Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio 4 1997 Attraction basins in dicretized maps. Zbl 0932.37035Bastolla, Ugo; Parisi, Giorgio 4 1997 A variational approach to directed polymers. Zbl 0764.60115Mézard, Marc; Parisi, Giorgio 4 1992 A short introduction to numerical simulations of lattice gauge theories. Zbl 0657.65136Parisi, Giorgio 4 1986 Replica field theory for deterministic models. I: Binary sequences with low autocorrelation. Zbl 0843.60096Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 4 1994 Euclidean random matrices: solved and open problems. Zbl 1135.82013Parisi, Giorgio 4 2006 On the probability distribution of the overlap in spin glasses. Zbl 1073.82041Parisi, Giorgio 3 2004 On the formal equivalence of the TAP and thermodynamic methods in the SK model. Zbl 1066.82023Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio; Mézard, Marc 3 2003 Statistical distribution of the local purity in a large quantum system. Zbl 1235.81144De Pasquale, A.; Facchi, P.; Giovannetti, V.; Parisi, G.; Pascazio, S.; Scardicchio, A. 3 2012 Large deviations of the free energy in diluted mean-field spin-glass. Zbl 1185.82058Parisi, Giorgio; Rizzo, Tommaso 3 2010 Simulation of three-dimensional Ising spin glass model using three replicas: Study of Binder cumulants. Zbl 0900.82088Iñiguez, David; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 2 1996 Two spaces looking for a geometer. Zbl 1072.81033Parisi, Giorgio 2 2003 Constraint optimization and statistical mechanics. Zbl 1081.82025Parisi, G. 2 2004 Temperature evolution and bifurcation of metastable states in mean-field spin glasses, with connections with structural glasses. Zbl 0934.82043Barrat, Alain; Franz, Silvio; Parisi, Giorgio 2 1997 Violation of the fluctuation-dissipation theorem in finite-dimensional spin glasses. Zbl 0939.82052Marinari, Enzo; Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J. 2 1998 3D spin glass and 2D ferromagnetic \(XY\) model: A comparison. Zbl 0932.82010Iñiguez, David; Marinari, Enzo; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 2 1997 Neural potentials as stimuli for attractor neural networks. Zbl 0825.92017Amit, Daniel J.; Parisi, G.; Nicolis, S. 2 1990 Two-loop corrections to large order behavior of \(\phi^{4}\) theory. Zbl 1373.81275Malatesta, Enrico M.; Parisi, Giorgio; Rizzo, Tommaso 2 2017 On the branching structure of the tree of states in spin glasses. Zbl 1101.82346Parisi, Giorgio 2 1993 Fluctuations in a spin-glass model with one replica symmetry breaking. Zbl 0937.82509Ferrero, M. E.; Parisi, G.; Ranieri, P. 2 1996 Interface energy in the Edwards-Anderson model. Zbl 1208.82065Contucci, Pierluigi; Giardinà, Cristian; Giberti, Claudio; Parisi, Giorgio; Vernia, Cecilia 2 2011 On the high density behavior of Hamming codes with fixed minimum distance. Zbl 1113.82004Parisi, Giorgio; Zamponi, Francesco 2 2006 Computing the number of metastable states in infinite-range models. Zbl 1458.82013Parisi, Giorgio 2 2006 Chaos in temperature in diluted mean-field spin-glass. Zbl 1191.82111Parisi, Giorgio; Rizzo, Tommaso 2 2010 Amorphous packings of hard spheres for large space dimension. Zbl 1456.82530Parisi, Giorgio; Zamponi, Francesco 2 2006 On the critical exponent \(\alpha\) of the 5D random-field Ising model. Zbl 1457.82068Fytas, N. G.; Martín-Mayor, Víctor; Parisi, Giorgio; Picco, Marco; Sourlas, Nicolas 2 2019 String theory on the one-dimensional lattice. Zbl 1332.81186Parisi, Giorgio 1 1990 On the approach to the equilibrium and the equilibrium properties of a glass-forming model. Zbl 0952.82028Coluzzi, Barbara; Parisi, Giorgio 1 1998 The use of optimized Monte Carlo methods for studying spin glasses. Zbl 0988.82051Marinari, E.; Parisi, G.; Ricci-Tersenghi, F.; Zuliani, F. 1 2001 The \(K\)-SAT problem in a simple limit. Zbl 1019.82009Leuzzi, Luca; Parisi, Giorgio 1 2001 On infrared divergences in spin glasses. Zbl 0900.82089Ferrero, M. E.; Parisi, G. 1 1996 On supersymmetry breaking in the computation of the complexity. Zbl 1065.82012Parisi, G.; Rizzo, T. 1 2004 Thermodynamics of a tiling model. Zbl 0957.82020Leuzzi, Luca; Parisi, Giorgio 1 2000 Ageing in spin-glasses in three, four and infinite dimensions. Zbl 1075.82535Jiménez, S.; Martín-Mayor, V.; Parisi, G.; Tarancón, A. 1 2003 The role of the Becchi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model. Zbl 1081.82007Annibale, Alessia; Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio; Trevigne, Elisa 1 2003 A mean-field hard-spheres model of glass. Zbl 0943.82588Cugliandolo, L. F.; Kurchan, J.; Monasson, R.; Parisi, G. 1 1996 A numerical study of ultrametricity in finite-dimensional spin glasses. Zbl 0939.82050Cacciuto, A.; Marinari, E.; Parisi, G. 1 1997 Mean field dynamical exponents in finite-dimensional Ising spin glass. Zbl 0925.82140Parisi, G.; Ranieri, P.; Ricci-Tersenghi, F.; Ruiz-Lorenzo, J. J. 1 1997 Ising exponents in the two-dimensional site-diluted Ising model. Zbl 0941.82008Ballesteros, H. G.; Fernández, L. A.; Martín-Mayor, V.; Muñoz Sudupe, A.; Parisi, G.; Ruiz-Lorenzo, J. J. 1 1997 Short-time aging in binary glasses. Zbl 0932.82036Parisi, Giorgio 1 1997 Finite-volume corrections to the mean-field solution of the SK model. Zbl 0764.60116Parisi, G.; Biscari, P. 1 1992 The marginally stable Bethe lattice spin glass revisited. Zbl 1379.82005Parisi, Giorgio 1 2017 Quasi-equilibrium in glassy dynamics: a liquid theory approach. Zbl 1323.82044Franz, Silvio; Parisi, Giorgio; Urbani, Pierfrancesco 1 2015 The 3-SAT problem with large number of clauses in the \(\infty\)-replica symmetry breaking scheme. Zbl 1038.82041Crisanti, A.; Leuzzi, L.; Parisi, G. 1 2002 Low \(T\) dynamical properties of spin glasses smoothly extrapolate to \(T=0\). Zbl 1040.82060Marinari, Enzo; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 1 2002 A tentative replica study of the glass transition. Zbl 0937.82506Mézard, Marc; Parisi, Giorgio 1 1996 Equilibrium and off-equilibrium simulations of the \(4d\) Gaussian spin glass. Zbl 0900.82050Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J. 1 1996 Statistical mechanics of a two-dimensional system with long-range interactions. Zbl 0905.60080Dean, David S.; Parisi, Giorgio 1 1998 Replica symmetry breaking in and around six dimensions. Zbl 1246.82108Parisi, G.; Temesvári, T. 1 2012 Mosaic length and finite interaction-range effects in a one-dimensional random energy model. Zbl 1171.82340Franz, S.; Parisi, G.; Ricci-Tersenghi, F. 1 2008 On the most compact regular lattices in large dimensions: A statistical mechanical approach. Zbl 1144.82014Parisi, Giorgio 1 2008 Theory of simple glasses. Exact solutions in infinite dimensions. Zbl 1431.82001Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 6 2020 On the critical exponent \(\alpha\) of the 5D random-field Ising model. Zbl 1457.82068Fytas, N. G.; Martín-Mayor, Víctor; Parisi, Giorgio; Picco, Marco; Sourlas, Nicolas 2 2019 The random fractional matching problem. Zbl 1459.90138Lucibello, Carlo; Malatesta, Enrico M.; Parisi, Giorgio; Sicuro, Gabriele 1 2018 Two-loop corrections to large order behavior of \(\phi^{4}\) theory. Zbl 1373.81275Malatesta, Enrico M.; Parisi, Giorgio; Rizzo, Tommaso 2 2017 The marginally stable Bethe lattice spin glass revisited. Zbl 1379.82005Parisi, Giorgio 1 2017 Loop expansion around the Bethe approximation through the \(M\)-layer construction. Zbl 1457.82421Altieri, Ada; Angelini, Maria Chiara; Lucibello, Carlo; Parisi, Giorgio; Ricci-Tersenghi, Federico; Rizzo, Tommaso 1 2017 The simplest model of jamming. Zbl 1342.82111Franz, Silvio; Parisi, Giorgio 8 2016 Quasi-equilibrium in glassy dynamics: a liquid theory approach. Zbl 1323.82044Franz, Silvio; Parisi, Giorgio; Urbani, Pierfrancesco 1 2015 Erratum to: “Diluted mean-field spin-glass models at criticality”. Zbl 1470.82035Parisi, G.; Ricci-Tersenghi, F.; Rizzo, T. 1 2015 The crossover region between long-range and short-range interactions for the critical exponents. Zbl 1318.82017Brezin, E.; Parisi, G.; Ricci-Tersenghi, F. 12 2014 Exact theory of dense amorphous hard spheres in high dimension. III: The full replica symmetry breaking solution. Zbl 1456.82236Charbonneau, Patrick; Kurchan, Jorge; Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 5 2014 Quantum mechanics. Reprint of the 2009 hardback ed. Zbl 1286.81002Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 4 2014 Anomalous finite size corrections in random field models. Zbl 1456.82508Lucibello, C.; Morone, F.; Parisi, G.; Ricci-Tersenghi, F.; Rizzo, Tommaso 1 2014 Diluted mean-field spin-glass models at criticality. Zbl 1456.82926Parisi, G.; Ricci-Tersenghi, F.; Rizzo, T. 1 2014 The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority. Zbl 1456.82900Baity-Jesi, M.; Baños, R. A.; Cruz, A.; Fernandez, L. A.; Gil-Narvion, J. M.; Gordillo-Guerrero, A.; Iñiguez, D.; Maiorano, A.; Mantovani, F.; Marinari, E.; Martin-Mayor, V.; Monforte-Garcia, J.; Muñoz Sudupe, A.; Navarro, D.; Parisi, G.; Perez-Gaviro, S.; Pivanti, M.; Ricci-Tersenghi, F.; Ruiz-Lorenzo, J. J.; Schifano, S. F.; Seoane, B.; Tarancon, A.; Tripiccione, R.; Yllanes, D. 1 2014 Universality classes of critical points in constrained glasses. Zbl 1456.82910Franz, Silvio; Parisi, Giorgio 1 2013 Glassy critical points and the random field Ising model. Zbl 1456.82357Franz, Silvio; Parisi, Giorgio; Ricci-Tersenghi, Federico 1 2013 Statistical distribution of the local purity in a large quantum system. Zbl 1235.81144De Pasquale, A.; Facchi, P.; Giovannetti, V.; Parisi, G.; Pascazio, S.; Scardicchio, A. 3 2012 Replica symmetry breaking in and around six dimensions. Zbl 1246.82108Parisi, G.; Temesvári, T. 1 2012 Interface energy in the Edwards-Anderson model. Zbl 1208.82065Contucci, Pierluigi; Giardinà, Cristian; Giberti, Claudio; Parisi, Giorgio; Vernia, Cecilia 2 2011 Benchmarking GPU and CPU codes for Heisenberg spin glass over-relaxation. Zbl 1259.82008Bernaschi, M.; Parisi, G.; Parisi, L. 1 2011 On the solution of a “solvable” model of an ideal Glass of hard spheres displaying a jamming transition. Zbl 1456.82374Mézard, Marc; Parisi, Giorgio; Tarzia, Marco; Zamponi, Francesco 1 2011 From empirical data to inter-individual interactions: unveiling the rules of collective animal behavior. Zbl 1197.92053Cavagna, Andrea; Cimarelli, Alessio; Giardina, Irene; Parisi, Giorgio; Santagati, Raffaele; Stefanini, Fabio; Tavarone, Raffaele 31 2010 Multipartite entanglement and frustration. Zbl 1360.81056Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 13 2010 Classical statistical mechanics approach to multipartite entanglement. Zbl 1189.81016Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2010 Large deviations of the free energy in diluted mean-field spin-glass. Zbl 1185.82058Parisi, Giorgio; Rizzo, Tommaso 3 2010 Chaos in temperature in diluted mean-field spin-glass. Zbl 1191.82111Parisi, Giorgio; Rizzo, Tommaso 2 2010 Replica method and finite volume corrections. Zbl 1195.82030Campellone, Matteo; Parisi, Giorgio; Virasoro, Miguel Angel 1 2010 Quantum mechanics. Zbl 1187.81001Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 8 2009 An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature. Zbl 1172.82337Belletti, F.; Cruz, A.; Fernandez, L. A.; Gordillo-Guerrero, A.; Guidetti, M.; Maiorano, A.; Mantovani, F.; Marinari, E.; Martin-Mayor, V.; Monforte, J.; Sudupe, A. Muñoz; Navarro, D.; Parisi, G.; Perez-Gaviro, S.; Ruiz-Lorenzo, J. J.; Schifano, S. F.; Sciretti, D.; Tarancon, A.; Tripiccione, R.; Yllanes, D. 7 2009 Statistical mechanics of multipartite entanglement. Zbl 1155.82004Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2009 The mean field theory of spin glasses: the heuristic replica approach and recent rigorous results. Zbl 1375.82053Parisi, Giorgio 5 2009 Phase transitions of bipartite entanglement. Zbl 1228.82018Facchi, P.; Marzolino, U.; Parisi, G.; Pascazio, S.; Scardicchio, A. 14 2008 New statistical tools for analyzing the structure of animal groups. Zbl 1143.92331Cavagna, Andrea; Cimarelli, Alessio; Giardina, Irene; Orlandi, Alberto; Parisi, Giorgio; Procaccini, Andrea; Santagati, Raffaele; Stefanini, Fabio 5 2008 Mosaic length and finite interaction-range effects in a one-dimensional random energy model. Zbl 1171.82340Franz, S.; Parisi, G.; Ricci-Tersenghi, F. 1 2008 On the most compact regular lattices in large dimensions: A statistical mechanical approach. Zbl 1144.82014Parisi, Giorgio 1 2008 Euclidean random matrices: solved and open problems. Zbl 1135.82013Parisi, Giorgio 4 2006 On the high density behavior of Hamming codes with fixed minimum distance. Zbl 1113.82004Parisi, Giorgio; Zamponi, Francesco 2 2006 Computing the number of metastable states in infinite-range models. Zbl 1458.82013Parisi, Giorgio 2 2006 Amorphous packings of hard spheres for large space dimension. Zbl 1456.82530Parisi, Giorgio; Zamponi, Francesco 2 2006 Instability of one-step replica-symmetry-broken phase in satisfiability problems. Zbl 1116.82308Montanari, Andrea; Parisi, Giorgio; Ricci-Tersenghi, Federico 11 2004 On the distribution of the overlaps at given disorder. Zbl 1069.82007Parisi, Giorgio; Talagrand, Michel 9 2004 On the probability distribution of the overlap in spin glasses. Zbl 1073.82041Parisi, Giorgio 3 2004 Constraint optimization and statistical mechanics. Zbl 1081.82025Parisi, G. 2 2004 On supersymmetry breaking in the computation of the complexity. Zbl 1065.82012Parisi, G.; Rizzo, T. 1 2004 The cavity method at zero temperature. Zbl 1014.82032Mézard, Marc; Parisi, Giorgio 37 2003 On the statistical properties of the large time zero temperature dynamics of the SK model. Zbl 1140.82309Parisi, Giorgio 4 2003 On the formal equivalence of the TAP and thermodynamic methods in the SK model. Zbl 1066.82023Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio; Mézard, Marc 3 2003 Two spaces looking for a geometer. Zbl 1072.81033Parisi, Giorgio 2 2003 Ageing in spin-glasses in three, four and infinite dimensions. Zbl 1075.82535Jiménez, S.; Martín-Mayor, V.; Parisi, G.; Tarancón, A. 1 2003 The role of the Becchi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model. Zbl 1081.82007Annibale, Alessia; Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio; Trevigne, Elisa 1 2003 The 3-SAT problem with large number of clauses in the \(\infty\)-replica symmetry breaking scheme. Zbl 1038.82041Crisanti, A.; Leuzzi, L.; Parisi, G. 1 2002 Low \(T\) dynamical properties of spin glasses smoothly extrapolate to \(T=0\). Zbl 1040.82060Marinari, Enzo; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 1 2002 Stochastic stability. Zbl 1046.82018Parisi, Giorgio 4 2001 The use of optimized Monte Carlo methods for studying spin glasses. Zbl 0988.82051Marinari, E.; Parisi, G.; Ricci-Tersenghi, F.; Zuliani, F. 1 2001 The \(K\)-SAT problem in a simple limit. Zbl 1019.82009Leuzzi, Luca; Parisi, Giorgio 1 2001 Replica symmetry breaking in short-range spin glasses: Theoretical foundations and numerical evidences. Zbl 1015.82037Marinari, Enzo; Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J.; Zuliani, Francesco 21 2000 Foundations and interpretation of quantum mechanics. In the light of a critical-historical analysis of the problems and of a synthesis of the results. With a Foreword by Giorgio Parisi. Zbl 0965.81001Auletta, Gennaro 18 2000 Critical exponents of the KPZ equation via multi-surface coding numerical simulations. Zbl 0970.82023Marinari, Enzo; Pagnani, Andrea; Parisi, Giorgio 10 2000 On the origin of ultrametricity. Zbl 0969.82014Parisi, Giorgio; Ricci-Tersenghi, Federico 6 2000 Thermodynamics of a tiling model. Zbl 0957.82020Leuzzi, Luca; Parisi, Giorgio 1 2000 The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium. Zbl 0958.82052Franz, Silvio; Mézard, Marc; Parisi, Giorgio; Peliti, Luca 8 1999 Spectra of Euclidean random matrices. Zbl 0970.82021Mézard, M.; Parisi, G.; Zee, A. 8 1999 Scaling corrections: Site percolation and Ising model in three dimensions. Zbl 0941.82009Ballesteros, H. G.; Fernández, L. A.; Martín-Mayor, V.; Sudupe, A. Muñoz; Parisi, G.; Ruiz-Lorenzo, J. J. 6 1999 The modular structure of Kauffman networks. Zbl 0938.82044Bastolla, U.; Parisi, G. 12 1998 Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study. Zbl 0938.82043Bastolla, U.; Parisi, G. 9 1998 Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks. Zbl 0952.82023Bastolla, Ugo; Parisi, Giorgio 7 1998 Violation of the fluctuation-dissipation theorem in finite-dimensional spin glasses. Zbl 0939.82052Marinari, Enzo; Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J. 2 1998 On the approach to the equilibrium and the equilibrium properties of a glass-forming model. Zbl 0952.82028Coluzzi, Barbara; Parisi, Giorgio 1 1998 Statistical mechanics of a two-dimensional system with long-range interactions. Zbl 0905.60080Dean, David S.; Parisi, Giorgio 1 1998 Attractors in fully asymmetric neural networks. Zbl 0961.82505Bastolla, U.; Parisi, G. 5 1997 An investigation of the hidden structure of states in a mean-field spin-glass model. Zbl 0925.82201Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio 4 1997 Attraction basins in dicretized maps. Zbl 0932.37035Bastolla, Ugo; Parisi, Giorgio 4 1997 Temperature evolution and bifurcation of metastable states in mean-field spin glasses, with connections with structural glasses. Zbl 0934.82043Barrat, Alain; Franz, Silvio; Parisi, Giorgio 2 1997 3D spin glass and 2D ferromagnetic \(XY\) model: A comparison. Zbl 0932.82010Iñiguez, David; Marinari, Enzo; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 2 1997 A numerical study of ultrametricity in finite-dimensional spin glasses. Zbl 0939.82050Cacciuto, A.; Marinari, E.; Parisi, G. 1 1997 Mean field dynamical exponents in finite-dimensional Ising spin glass. Zbl 0925.82140Parisi, G.; Ranieri, P.; Ricci-Tersenghi, F.; Ruiz-Lorenzo, J. J. 1 1997 Ising exponents in the two-dimensional site-diluted Ising model. Zbl 0941.82008Ballesteros, H. G.; Fernández, L. A.; Martín-Mayor, V.; Muñoz Sudupe, A.; Parisi, G.; Ruiz-Lorenzo, J. J. 1 1997 Short-time aging in binary glasses. Zbl 0932.82036Parisi, Giorgio 1 1997 Closing probabilities in the Kauffman model: An annealed computation. Zbl 0884.68091Bastolla, U.; Parisi, G. 7 1996 Simulation of three-dimensional Ising spin glass model using three replicas: Study of Binder cumulants. Zbl 0900.82088Iñiguez, David; Parisi, Giorgio; Ruiz-Lorenzo, Juan J. 2 1996 Fluctuations in a spin-glass model with one replica symmetry breaking. Zbl 0937.82509Ferrero, M. E.; Parisi, G.; Ranieri, P. 2 1996 On infrared divergences in spin glasses. Zbl 0900.82089Ferrero, M. E.; Parisi, G. 1 1996 A mean-field hard-spheres model of glass. Zbl 0943.82588Cugliandolo, L. F.; Kurchan, J.; Monasson, R.; Parisi, G. 1 1996 A tentative replica study of the glass transition. Zbl 0937.82506Mézard, Marc; Parisi, Giorgio 1 1996 Equilibrium and off-equilibrium simulations of the \(4d\) Gaussian spin glass. Zbl 0900.82050Parisi, Giorgio; Ricci-Tersenghi, Federico; Ruiz-Lorenzo, Juan J. 1 1996 Mean-field equations for spin models with orthogonal interaction matrices. Zbl 0868.60052Parisi, Giorgio; Potters, Marc 4 1995 Replica field theory for deterministic models. II: A non-random spin glass with glassy behaviour. Zbl 0843.60097Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 12 1994 \(D\)-dimensional arrays of Josephson junctions, spin glasses and \(q\)-deformed harmonic oscillators. Zbl 0844.60095Parisi, Giorgio 5 1994 Replica field theory for deterministic models. I: Binary sequences with low autocorrelation. Zbl 0843.60096Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 4 1994 On intermittency in a cascade model for turbulence. Zbl 0771.76027Benzi, R.; Biferale, L.; Parisi, G. 9 1993 On the branching structure of the tree of states in spin glasses. Zbl 1101.82346Parisi, Giorgio 2 1993 Field theory, disorder and simulations. Zbl 0875.81002Parisi, Giorgio 6 1992 A variational approach to directed polymers. Zbl 0764.60115Mézard, Marc; Parisi, Giorgio 4 1992 Finite-volume corrections to the mean-field solution of the SK model. Zbl 0764.60116Parisi, G.; Biscari, P. 1 1992 On the one-dimensional discretized string. Zbl 1332.81185Parisi, Giorgio 10 1990 Neural potentials as stimuli for attractor neural networks. Zbl 0825.92017Amit, Daniel J.; Parisi, G.; Nicolis, S. 2 1990 String theory on the one-dimensional lattice. Zbl 1332.81186Parisi, Giorgio 1 1990 Statistical field theory. With a foreword by David Pines. Zbl 0984.81515Parisi, Giorgio 33 1988 Spin glass theory and beyond. Zbl 0992.82500Mézard, Marc; Parisi, Giorgio; Virasoro, Miguel Angel 312 1987 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,323 Authors 24 Ferrari, Patrik Lino 23 Corwin, Ivan Z. 23 Parisi, Giorgio 18 Spohn, Herbert 17 Chen, Wei-Kuo 17 Sasamoto, Tomohiro 16 Borodin, Alexei 16 Le Doussal, Pierre 16 Panchenko, Dmitry 15 Quastel, Jeremy 12 Barra, Adriano 12 Derrida, Bernard 12 Gurau, Razvan Gheorghe 12 Mariño, Marcos 12 Peral Alonso, Ireneo 11 Guionnet, Alice 11 Guitter, Emmanuel 11 Hairer, Martin 10 Abdellaoui, Boumediene 10 Khoshnevisan, Davar 9 Albeverio, Sergio A. 9 Bellomo, Nicola 9 Contucci, Pierluigi 9 Di Francesco, Philippe 9 Jagannath, Aukosh 9 Muravnik, Andreĭ Borisovich 8 Auffinger, Antonio 8 Bouttier, Jérémie 8 Facchi, Paolo 8 Fyodorov, Yan V. 8 Gonçalves, Patrícia C. 8 Hammond, Alan 8 Imamura, Takashi 8 Jara, Milton D. 8 Kozyrev, Sergeĭ Vladimirovich 8 Remenik, Daniel 8 Ricci-Tersenghi, Federico 8 Schütz, Gunter M. 8 Souplet, Philippe 8 Talagrand, Michel 7 Agliari, Elena 7 Arguin, Louis-Pierre 7 Biroli, Giulio 7 Coja-Oghlan, Amin 7 Eynard, Bertrand 7 Gubinelli, Massimiliano 7 Guerra, Francesco 7 Majumdar, Satya N. 7 Povolotsky, A. M. 7 Tsai, Li-cheng 7 Zdeborová, Lenka 7 Zhu, RongChan 6 Borot, Gaëtan 6 Chatterjee, Sourav 6 Comets, Francis M. 6 Kim, Jinmin 6 Krzakąła, Florent 6 Martín-Mayor, Victor 6 Mézard, Marc 6 Schehr, Grégory 6 Tracy, Craig Arnold 6 Widom, Harold 6 Zhu, Xiang-Chan 5 Antonov, N. V. 5 Benedetti, Dario 5 Chan, Chuantsung 5 Damron, Michael 5 Dembo, Amir 5 Forrester, Peter J. 5 Grassi, Alba 5 Horikawa, Yo 5 Irie, Hirotaka 5 Kazakov, Vladimir A. 5 Krug, Joachim 5 Montanari, Andrea 5 O’Connor, Denjoe 5 Pimentel, Leandro P. R. 5 Prolhac, Sylvain 5 Rhodes, Rémi 5 Ruiz-Lorenzo, Juan Jesus 5 Schiappa, Ricardo 5 Stein, Daniel L. 5 Thiery, Thimothée 5 Toninelli, Fabio Lucio 5 Vargas, Vincent 5 Vergassola, Massimo 5 Woyczynski, Wojbor A. 5 Xia, Hui 5 Yeh, Chi-Hsien 5 Zhang, Zhengce 4 Agoritsas, Elisabeth 4 Anninos, Dionysios 4 Barbier, Jean 4 Basu, Riddhipratim 4 Biferale, Luca 4 Bousquet-Mélou, Mireille 4 Bovier, Anton 4 Brezzi, Franco 4 Conus, Daniel 4 Dunlap, Alexander ...and 2,223 more Authors all top 5 Cited in 271 Serials 239 Journal of Statistical Physics 102 Communications in Mathematical Physics 98 Journal of Statistical Mechanics: Theory and Experiment 95 Journal of High Energy Physics 55 Nuclear Physics. B 51 The Annals of Probability 45 Journal of Mathematical Physics 44 Probability Theory and Related Fields 29 Physica D 28 Physica A 26 Journal of Physics A: Mathematical and Theoretical 21 M\(^3\)AS. 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Latin American Journal of Probability and Mathematical Statistics 3 Annales Henri Lebesgue ...and 171 more Serials all top 5 Cited in 61 Fields 817 Statistical mechanics, structure of matter (82-XX) 528 Probability theory and stochastic processes (60-XX) 373 Quantum theory (81-XX) 306 Partial differential equations (35-XX) 121 Combinatorics (05-XX) 97 Biology and other natural sciences (92-XX) 91 Linear and multilinear algebra; matrix theory (15-XX) 91 Dynamical systems and ergodic theory (37-XX) 74 Relativity and gravitational theory (83-XX) 62 Computer science (68-XX) 60 Statistics (62-XX) 60 Fluid mechanics (76-XX) 45 Numerical analysis (65-XX) 42 Operations research, mathematical programming (90-XX) 39 Ordinary differential equations (34-XX) 39 Information and communication theory, circuits (94-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Algebraic geometry (14-XX) 24 Special functions (33-XX) 24 Functional analysis (46-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Mechanics of particles and systems (70-XX) 18 Differential geometry (53-XX) 18 Mechanics of deformable solids (74-XX) 17 Operator theory (47-XX) 16 Number theory (11-XX) 14 Measure and integration (28-XX) 12 Manifolds and cell complexes (57-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Nonassociative rings and algebras (17-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Geophysics (86-XX) 11 Systems theory; control (93-XX) 10 Integral equations (45-XX) 8 History and biography (01-XX) 8 Group theory and generalizations (20-XX) 8 Functions of a complex variable (30-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Approximations and expansions (41-XX) 8 Geometry (51-XX) 7 Topological groups, Lie groups (22-XX) 7 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 5 Mathematical logic and foundations (03-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Associative rings and algebras (16-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Astronomy and astrophysics (85-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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