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 1,541 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 110 Publications have been cited 1,786 times in 1,580 Documents Cited by ▼ Year ▼ Dynamic scaling of growing interfaces. Zbl 1101.82329Kardar, Mehran; Parisi, Giorgio; Zhang, Yi-Cheng 570 1986 Spin glass theory and beyond. Zbl 0992.82500Mézard, Marc; Parisi, Giorgio; Virasoro, Miguel Angel 292 1987 Planar diagrams. Zbl 0997.81548Brézin, E.; Itzykson, C.; Parisi, G.; Zuber, J. B. 281 1978 A theory of stochastic resonance in climatic change. Zbl 0509.60059Benzi, Roberto; Parisi, Giorgio; Sutera, Alfonso; Vulpiani, Angelo 36 1983 The cavity method at zero temperature. Zbl 1014.82032Mézard, Marc; Parisi, Giorgio 36 2003 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. 32 1984 Statistical field theory. With a foreword by David Pines. Zbl 0984.81515Parisi, Giorgio 32 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 20 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. 15 1979 Phase transitions of bipartite entanglement. Zbl 1228.82018Facchi, P.; Marzolino, U.; Parisi, G.; Pascazio, S.; Scardicchio, A. 14 2008 Multipartite entanglement and frustration. Zbl 1360.81056Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 13 2010 Critical behavior of branched polymers and the Lee-Yang edge singularity. Zbl 0969.82030Parisi, Giorgio; Sourlas, Nicolas 13 1981 The modular structure of Kauffman networks. Zbl 0938.82044Bastolla, U.; Parisi, G. 12 1998 Instability of one-step replica-symmetry-broken phase in satisfiability problems. Zbl 1116.82308Montanari, Andrea; Parisi, Giorgio; Ricci-Tersenghi, Federico 11 2004 The crossover region between long-range and short-range interactions for the critical exponents. Zbl 1318.82017Brezin, E.; Parisi, G.; Ricci-Tersenghi, F. 11 2014 Replica field theory for deterministic models. II: A non-random spin glass with glassy behaviour. Zbl 0843.60097Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 11 1994 Critical exponents of the KPZ equation via multi-surface coding numerical simulations. Zbl 0970.82023Marinari, Enzo; Pagnani, Andrea; Parisi, Giorgio 10 2000 On the one-dimensional discretized string. Zbl 1332.81185Parisi, Giorgio 10 1990 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 Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study. Zbl 0938.82043Bastolla, U.; Parisi, G. 9 1998 On intermittency in a cascade model for turbulence. Zbl 0771.76027Benzi, R.; Biferale, L.; Parisi, G. 9 1993 Quantum mechanics. Zbl 1187.81001Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 8 2009 The simplest model of jamming. Zbl 1342.82111Franz, Silvio; Parisi, Giorgio 7 2016 Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks. Zbl 0952.82023Bastolla, Ugo; Parisi, Giorgio 7 1998 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 7 1999 Spectra of Euclidean random matrices. Zbl 0970.82021Mézard, M.; Parisi, G.; Zee, A. 7 1999 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. 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 Classical statistical mechanics approach to multipartite entanglement. Zbl 1189.81016Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2010 Statistical mechanics of multipartite entanglement. Zbl 1155.82004Facchi, P.; Florio, G.; Marzolino, U.; Parisi, G.; Pascazio, S. 6 2009 On the origin of ultrametricity. Zbl 0969.82014Parisi, Giorgio; Ricci-Tersenghi, Federico 6 2000 Field theory, disorder and simulations. Zbl 0875.81002Parisi, Giorgio 6 1992 The mean field theory of spin glasses: the heuristic replica approach and recent rigorous results. Zbl 1375.82053Parisi, Giorgio 5 2009 Attractors in fully asymmetric neural networks. Zbl 0961.82505Bastolla, U.; Parisi, G. 5 1997 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 Theory of simple glasses. Exact solutions in infinite dimensions. Zbl 1431.82001Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 5 2020 Mean-field equations for spin models with orthogonal interaction matrices. Zbl 0868.60052Parisi, Giorgio; Potters, Marc 4 1995 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 Stochastic stability. Zbl 1046.82018Parisi, Giorgio 4 2001 On the statistical properties of the large time zero temperature dynamics of the SK model. Zbl 1140.82309Parisi, Giorgio 4 2003 A short introduction to numerical simulations of lattice gauge theories. Zbl 0657.65136Parisi, Giorgio 4 1986 \(D\)-dimensional arrays of Josephson junctions, spin glasses and \(q\)-deformed harmonic oscillators. Zbl 0844.60095Parisi, Giorgio 4 1994 Replica field theory for deterministic models. I: Binary sequences with low autocorrelation. Zbl 0843.60096Marinari, Enzo; Parisi, Giorgio; Ritort, Felix 4 1994 Quantum mechanics. Reprint of the 2009 hardback ed. Zbl 1286.81002Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 4 2014 Perturbation theory without gauge fixing. Zbl 1480.81051Parisi, G.; Wu, Yong Shi 4 1981 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 4 2014 On the probability distribution of the overlap in spin glasses. Zbl 1073.82041Parisi, Giorgio 3 2004 Large deviations of the free energy in diluted mean-field spin-glass. Zbl 1185.82058Parisi, Giorgio; Rizzo, Tommaso 3 2010 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 Euclidean random matrices: solved and open problems. Zbl 1135.82013Parisi, Giorgio 3 2006 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 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 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 Neural potentials as stimuli for attractor neural networks. Zbl 0825.92017Amit, Daniel J.; Parisi, G.; Nicolis, S. 2 1990 On the branching structure of the tree of states in spin glasses. Zbl 1101.82346Parisi, Giorgio 2 1993 On the high density behavior of Hamming codes with fixed minimum distance. Zbl 1113.82004Parisi, Giorgio; Zamponi, Francesco 2 2006 Interface energy in the Edwards-Anderson model. Zbl 1208.82065Contucci, Pierluigi; Giardinà, Cristian; Giberti, Claudio; Parisi, Giorgio; Vernia, Cecilia 2 2011 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 Two spaces looking for a geometer. Zbl 1072.81033Parisi, Giorgio 2 2003 Constraint optimization and statistical mechanics. Zbl 1081.82025Parisi, G. 2 2004 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 Two-loop corrections to large order behavior of \(\phi^{4}\) theory. Zbl 1373.81275Malatesta, Enrico M.; Parisi, Giorgio; Rizzo, Tommaso 2 2017 Replica symmetry breaking in and around six dimensions. Zbl 1246.82108Parisi, G.; Temesvári, T. 1 2012 The use of optimized Monte Carlo methods for studying spin glasses. Zbl 0988.82051Marinari, E.; Parisi, G.; Ricci-Tersenghi, F.; Zuliani, F. 1 2001 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 Benchmarking GPU and CPU codes for Heisenberg spin glass over-relaxation. Zbl 1259.82008Bernaschi, M.; Parisi, G.; Parisi, L. 1 2011 Replica method and finite volume corrections. Zbl 1195.82030Campellone, Matteo; Parisi, Giorgio; Virasoro, Miguel Angel 1 2010 Finite-volume corrections to the mean-field solution of the SK model. Zbl 0764.60116Parisi, G.; Biscari, P. 1 1992 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 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 Quasi-equilibrium in glassy dynamics: a liquid theory approach. Zbl 1323.82044Franz, Silvio; Parisi, Giorgio; Urbani, Pierfrancesco 1 2015 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 On the approach to the equilibrium and the equilibrium properties of a glass-forming model. Zbl 0952.82028Coluzzi, Barbara; Parisi, Giorgio 1 1998 On infrared divergences in spin glasses. Zbl 0900.82089Ferrero, M. E.; Parisi, G. 1 1996 Statistical mechanics of a two-dimensional system with long-range interactions. Zbl 0905.60080Dean, David S.; Parisi, Giorgio 1 1998 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 String theory on the one-dimensional lattice. Zbl 1332.81186Parisi, Giorgio 1 1990 On supersymmetry breaking in the computation of the complexity. Zbl 1065.82012Parisi, G.; Rizzo, T. 1 2004 The random fractional matching problem. Zbl 1459.90138Lucibello, Carlo; Malatesta, Enrico M.; Parisi, Giorgio; Sicuro, Gabriele 1 2018 Theory of simple glasses. Exact solutions in infinite dimensions. Zbl 1431.82001Parisi, Giorgio; Urbani, Pierfrancesco; Zamponi, Francesco 5 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 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 marginally stable Bethe lattice spin glass revisited. Zbl 1379.82005Parisi, Giorgio 1 2017 The simplest model of jamming. Zbl 1342.82111Franz, Silvio; Parisi, Giorgio 7 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. 11 2014 Quantum mechanics. Reprint of the 2009 hardback ed. Zbl 1286.81002Auletta, Gennaro; Fortunato, Mauro; Parisi, Giorgio 4 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 4 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. 6 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 3 2006 Computing the number of metastable states in infinite-range models. Zbl 1458.82013Parisi, Giorgio 2 2006 On the high density behavior of Hamming codes with fixed minimum distance. Zbl 1113.82004Parisi, Giorgio; Zamponi, Francesco 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 36 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 20 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 7 1999 Spectra of Euclidean random matrices. Zbl 0970.82021Mézard, M.; Parisi, G.; Zee, A. 7 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 A mean-field hard-spheres model of glass. Zbl 0943.82588Cugliandolo, L. F.; Kurchan, J.; Monasson, R.; Parisi, G. 1 1996 On infrared divergences in spin glasses. Zbl 0900.82089Ferrero, M. E.; 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 11 1994 \(D\)-dimensional arrays of Josephson junctions, spin glasses and \(q\)-deformed harmonic oscillators. Zbl 0844.60095Parisi, Giorgio 4 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 32 1988 Spin glass theory and beyond. Zbl 0992.82500Mézard, Marc; Parisi, Giorgio; Virasoro, Miguel Angel 292 1987 Dynamic scaling of growing interfaces. Zbl 1101.82329Kardar, Mehran; Parisi, Giorgio; Zhang, Yi-Cheng 570 1986 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,225 Authors 24 Ferrari, Patrik Lino 23 Corwin, Ivan Z. 23 Parisi, Giorgio 18 Spohn, Herbert 17 Chen, Wei-Kuo 16 Borodin, Alexei 16 Le Doussal, Pierre 16 Sasamoto, Tomohiro 15 Quastel, Jeremy 14 Panchenko, Dmitry 12 Derrida, Bernard 12 Gurau, Razvan Gheorghe 12 Mariño, Marcos 12 Peral Alonso, Ireneo 11 Barra, Adriano 11 Guionnet, Alice 11 Guitter, Emmanuel 11 Hairer, Martin 10 Abdellaoui, Boumediene 10 Khoshnevisan, Davar 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 Imamura, Takashi 8 Jara, Milton D. 8 Kozyrev, Sergeĭ Vladimirovich 8 Remenik, Daniel 8 Schütz, Gunter M. 8 Souplet, Philippe 7 Agliari, Elena 7 Arguin, Louis-Pierre 7 Biroli, Giulio 7 Eynard, Bertrand 7 Gonçalves, Patrícia C. 7 Guerra, Francesco 7 Hammond, Alan 7 Majumdar, Satya N. 7 Povolotsky, A. M. 7 Ricci-Tersenghi, Federico 7 Talagrand, Michel 7 Zdeborová, Lenka 6 Borot, Gaëtan 6 Chatterjee, Sourav 6 Coja-Oghlan, Amin 6 Comets, Francis M. 6 Krzakąła, Florent 6 Martín-Mayor, Victor 6 Mézard, Marc 6 Schehr, Grégory 6 Tracy, Craig Arnold 6 Tsai, Li-cheng 6 Widom, Harold 6 Zhu, RongChan 5 Antonov, N. V. 5 Chan, Chuantsung 5 Damron, Michael 5 Dembo, Amir 5 Forrester, Peter J. 5 Gubinelli, Massimiliano 5 Horikawa, Yo 5 Irie, Hirotaka 5 Kazakov, Vladimir A. 5 Kim, Jinmin 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 Yeh, Chi-Hsien 5 Zhu, Xiang-Chan 4 Agoritsas, Elisabeth 4 Albeverio, Sergio A. 4 Anninos, Dionysios 4 Basu, Riddhipratim 4 Benedetti, Dario 4 Biferale, Luca 4 Bousquet-Mélou, Mireille 4 Bovier, Anton 4 Brezzi, Franco 4 Conus, Daniel 4 Dunlap, Alexander 4 Duplantier, Bertrand 4 Evans, Martin R. 4 Feinberg, Joshua 4 Fernández, Luis Antonio ...and 2,125 more Authors all top 5 Cited in 265 Serials 236 Journal of Statistical Physics 98 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 36 Probability Theory and Related Fields 26 Journal of Physics A: Mathematical and Theoretical 25 Physica D 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 Theoretical and Mathematical Physics 18 International Journal of Modern Physics A 18 Physical Review Letters 17 Physics Reports 17 The Annals of Applied Probability 17 Stochastic Processes and their Applications 16 Physica A 16 Chaos 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Annales Henri Poincaré 11 Electronic Journal of Probability 11 Journal of Theoretical Biology 10 International Journal of Modern Physics B 10 Advances in Mathematics 10 Journal of Differential Equations 9 Mathematical and Computer Modelling 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 8 International Journal of Theoretical Physics 8 Journal of Computational Physics 8 Physics Letters. A 8 Random Structures & Algorithms 7 Journal of Mathematical Analysis and Applications 7 Chaos, Solitons and Fractals 7 Proceedings of the American Mathematical Society 7 Nonlinear Dynamics 7 Mathematical Physics, Analysis and Geometry 7 The European Physical Journal B. Condensed Matter and Complex Systems 7 Random Matrices: Theory and Applications 6 Modern Physics Letters B 6 Computer Physics Communications 6 Communications on Pure and Applied Mathematics 6 Journal of Fluid Mechanics 6 Nonlinearity 6 Inventiones Mathematicae 6 Transactions of the American Mathematical Society 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Mathematical Sciences (New York) 6 Electronic Communications in Probability 6 International Journal of Modern Physics C 5 Letters in Mathematical Physics 5 Bulletin of Mathematical Biology 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Physics of Fluids 5 Stochastics and Dynamics 4 Theoretical Computer Science 4 Annals of Physics 4 European Journal of Operational Research 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Bernoulli 4 New Journal of Physics 4 Advanced Nonlinear Studies 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Quantum Information 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Forum of Mathematics, Pi 4 Stochastic and Partial Differential Equations. Analysis and Computations 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Modern Physics Letters A 3 Discrete Mathematics 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Physics Letters. B 3 Reviews of Modern Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Mathematica 3 Journal of Functional Analysis 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Potential Analysis 3 International Journal of Modern Physics D 3 Calculus of Variations and Partial Differential Equations 3 Fractals 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Annals of Mathematics. Second Series 3 Physical Review E. Third Series 3 Physical Review D. Series III 3 Quantum Information Processing 3 Complex Variables and Elliptic Equations 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Annales Henri Lebesgue 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Reports on Mathematical Physics ...and 165 more Serials all top 5 Cited in 60 Fields 787 Statistical mechanics, structure of matter (82-XX) 502 Probability theory and stochastic processes (60-XX) 363 Quantum theory (81-XX) 289 Partial differential equations (35-XX) 115 Combinatorics (05-XX) 93 Biology and other natural sciences (92-XX) 86 Dynamical systems and ergodic theory (37-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 74 Relativity and gravitational theory (83-XX) 61 Computer science (68-XX) 59 Fluid mechanics (76-XX) 56 Statistics (62-XX) 40 Numerical analysis (65-XX) 40 Operations research, mathematical programming (90-XX) 39 Ordinary differential equations (34-XX) 36 Information and communication theory, circuits (94-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Algebraic geometry (14-XX) 23 Functional analysis (46-XX) 21 Special functions (33-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Mechanics of particles and systems (70-XX) 17 Mechanics of deformable solids (74-XX) 16 Number theory (11-XX) 16 Operator theory (47-XX) 16 Differential geometry (53-XX) 13 Measure and integration (28-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 Manifolds and cell complexes (57-XX) 11 Geophysics (86-XX) 10 Integral equations (45-XX) 10 Systems theory; control (93-XX) 8 History and biography (01-XX) 8 Functions of a complex variable (30-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 7 Real functions (26-XX) 7 Geometry (51-XX) 6 Difference and functional equations (39-XX) 6 Approximations and expansions (41-XX) 6 Convex and discrete geometry (52-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematical logic and foundations (03-XX) 4 Associative rings and algebras (16-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-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) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-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. Updates and corrections should be made in Wikidata.