Edit Profile (opens in new tab) Picco, Pierre Compute Distance To: Compute Author ID: picco.pierre Published as: Picco, Pierre; Picco, P. Homepage: https://www.i2m.univ-amu.fr/spip.php?page=pageperso&nom=Picco&prenom=Pierre&lang... External Links: MGP · ResearchGate Documents Indexed: 42 Publications since 1984 3 Contributions as Editor Co-Authors: 31 Co-Authors with 41 Joint Publications 973 Co-Co-Authors all top 5 Co-Authors 4 single-authored 11 Cassandro, Marzio 8 Bovier, Anton 7 Orlandi, Enza 5 Gayrard, Véronique 5 Martinez Aguilera, Servet 5 Olivieri, Enzo 3 Ferrari, Pablo Augusto 2 Fontes, Luiz Renato G. 2 Mathieu, Pierre 2 Merola, Immacolata 2 San Martín, Jaime 2 Suhov, Yurii Mikhailovich 2 Vares, Maria Eulalia 1 Aaronson, Jon 1 Benfatto, Giuseppe 1 Boccara, Nino 1 Buttà, Paolo 1 Galves, Antonio 1 Goles Chacc, Eric 1 Isopi, Marco 1 Kesten, Harry 1 Kohayakawa, Yoshiharu 1 Koukiou, Flora 1 Kratz, Marie-France 1 Liggett, Thomas Milton 1 Littin, Jorge C. 1 Patrick, A. E. 1 Pulvirenti, Mario 1 Rozikov, Utkir A. 1 Ruiz, Jean 1 Zagrebnov, Valentin A. all top 5 Serials 11 Journal of Statistical Physics 5 Communications in Mathematical Physics 4 The Annals of Probability 3 The Annals of Applied Probability 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Advances in Applied Probability 2 Probability Theory and Related Fields 2 Electronic Journal of Probability 2 Progress in Probability 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Journal of Theoretical Probability 1 Journal of Physics A: Mathematical and General 1 NATO ASI Series. Series C. Mathematical and Physical Sciences all top 5 Fields 34 Probability theory and stochastic processes (60-XX) 32 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 326 times in 249 Documents Cited by ▼ Year ▼ Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P. 57 1995 Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570Bovier, Anton; Gayrard, Véronique; Picco, Pierre 19 1995 Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. Zbl 1083.82509Olivieri, Enzo; Picco, Pierre 19 1990 Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094Bovier, Anton; Gayrard, Véronique; Picco, Pierre 19 1994 Phase transition in the 1d random field Ising model with long range interaction. Zbl 1173.82011Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 15 2009 On the existence of thermodynamics for the random energy model. Zbl 0585.60098Olivieri, Enzo; Picco, Pierre 15 1984 A law of the iterated logarithm for random geometric series. Zbl 0770.60029Bovier, Anton; Picco, Pierre 15 1993 Small random perturbations of infinite dimensional dynamical systems and nucleation theory. Zbl 0598.35133Cassandro, M.; Olivieri, E.; Picco, P. 13 1986 The spectral gap of the REM under Metropolis dynamics. Zbl 0935.60084Fontes, L. R. G.; Isopi, M.; Kohayakawa, Y.; Picco, P. 12 1998 Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 12 1992 Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. Zbl 0911.60070Martínez, Servet; Picco, Pierre; San Martín, Jaime 11 1998 Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096Mathieu, P.; Picco, P. 11 1998 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106Benfatto, G.; Picco, P.; Pulvirenti, M. 11 1987 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir 9 2014 A law of the iterated logarithm for geometrically weighted martingale difference sequences. Zbl 0802.60029Picco, Pierre; Vares, Maria Eulalia 7 1994 Mathematical aspects of spin classes and neural networks. Zbl 0881.00017 6 1998 Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model. Zbl 1370.82022Littin, Jorge; Picco, Pierre 6 2017 A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 6 1992 Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090Bovier, Anton; Gayrard, Véronique; Picco, Pierre 6 1995 Upper bound on the decay of correlations in the plane rotator model with long-range random interaction. Zbl 0586.60099Picco, P. 5 1984 Typical configurations for one-dimensional random field Kac model. Zbl 0983.60091Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 5 1999 Typical Gibbs configurations for the 1d random field Ising model with long range interaction. Zbl 1242.82008Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 5 2012 Phase separation for the long range one-dimensional Ising model. Zbl 1376.82016Cassandro, Marzio; Merola, Immacolata; Picco, Pierre 4 2017 Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063Aaronson, Jon; Liggett, Thomas; Picco, Pierre 4 1994 Dynamical phase transitions in disordered systems: The study of a random walk model. Zbl 0741.60107Cassandro, Marzio; Galves, Antonio; Picco, Pierre 3 1991 One-dimensional random field Kac’s model: localization of the phases. Zbl 1109.60079Cassandro, Marzio; Orlandi, Enza; Picco, Pierre; Eulalia Vares, Maria 3 2005 The optimal interface profile for a non-local model of phase separation. Zbl 1006.60098Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 3 2002 Limit theorems for Bernoulli convolutions. Zbl 0879.60019Bovier, A.; Picco, P. 3 1996 Large-deviation principle for one-dimensional vector spin models with Kac potentials. Zbl 0942.60098Buttà, Paolo; Picco, Pierre 3 1998 On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0935.82504Olivieri, E.; Picco, P.; Suhov, Yu. M. 2 1993 On the absence of breakdown of symmetry for the plane rotator model with long range unbounded random interaction. Zbl 0554.60099Picco, P. 2 1985 Poisson point processes, cascades, and random coverings of \(R^ n\). Zbl 0741.60111Koukiou, F.; Picco, P. 2 1991 On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre 2 2000 Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095Bovier, Anton; Gayrard, Véronique; Picco, Pierre 2 1997 Artificial neural networks. A review from physical and mathematical points of view. Zbl 0848.68085Picco, Pierre 2 1996 Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Zbl 0811.00025 2 1993 Main overlap dynamics for multistate neural networks. Zbl 0793.68053Patrick, A. E.; Picco, P.; Ruiz, J.; Zagrebnov, V. A. 1 1991 On the R.E.M. and the G.R.E.M. Zbl 0787.60126Picco, Pierre 1 1992 On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0864.60086Olivieri, Enzo; Picco, Pierre; Suhov, Yurii M. 1 1993 Existence of a phase transition in a continuous quantum system. Zbl 1126.82309Cassandro, Marzio; Picco, Pierre 1 2001 One-dimensional random field Kac’s model: weak large deviations principle. Zbl 1191.60117Picco, Pierre; Orlandi, Enza 1 2009 Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model. Zbl 1370.82022Littin, Jorge; Picco, Pierre 6 2017 Phase separation for the long range one-dimensional Ising model. Zbl 1376.82016Cassandro, Marzio; Merola, Immacolata; Picco, Pierre 4 2017 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir 9 2014 Typical Gibbs configurations for the 1d random field Ising model with long range interaction. Zbl 1242.82008Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 5 2012 Phase transition in the 1d random field Ising model with long range interaction. Zbl 1173.82011Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 15 2009 One-dimensional random field Kac’s model: weak large deviations principle. Zbl 1191.60117Picco, Pierre; Orlandi, Enza 1 2009 One-dimensional random field Kac’s model: localization of the phases. Zbl 1109.60079Cassandro, Marzio; Orlandi, Enza; Picco, Pierre; Eulalia Vares, Maria 3 2005 The optimal interface profile for a non-local model of phase separation. Zbl 1006.60098Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 3 2002 Existence of a phase transition in a continuous quantum system. Zbl 1126.82309Cassandro, Marzio; Picco, Pierre 1 2001 On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre 2 2000 Typical configurations for one-dimensional random field Kac model. Zbl 0983.60091Cassandro, Marzio; Orlandi, Enza; Picco, Pierre 5 1999 The spectral gap of the REM under Metropolis dynamics. Zbl 0935.60084Fontes, L. R. G.; Isopi, M.; Kohayakawa, Y.; Picco, P. 12 1998 Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. Zbl 0911.60070Martínez, Servet; Picco, Pierre; San Martín, Jaime 11 1998 Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096Mathieu, P.; Picco, P. 11 1998 Mathematical aspects of spin classes and neural networks. Zbl 0881.00017 6 1998 Large-deviation principle for one-dimensional vector spin models with Kac potentials. Zbl 0942.60098Buttà, Paolo; Picco, Pierre 3 1998 Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095Bovier, Anton; Gayrard, Véronique; Picco, Pierre 2 1997 Limit theorems for Bernoulli convolutions. Zbl 0879.60019Bovier, A.; Picco, P. 3 1996 Artificial neural networks. A review from physical and mathematical points of view. Zbl 0848.68085Picco, Pierre 2 1996 Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P. 57 1995 Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570Bovier, Anton; Gayrard, Véronique; Picco, Pierre 19 1995 Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090Bovier, Anton; Gayrard, Véronique; Picco, Pierre 6 1995 Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094Bovier, Anton; Gayrard, Véronique; Picco, Pierre 19 1994 A law of the iterated logarithm for geometrically weighted martingale difference sequences. Zbl 0802.60029Picco, Pierre; Vares, Maria Eulalia 7 1994 Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063Aaronson, Jon; Liggett, Thomas; Picco, Pierre 4 1994 A law of the iterated logarithm for random geometric series. Zbl 0770.60029Bovier, Anton; Picco, Pierre 15 1993 On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0935.82504Olivieri, E.; Picco, P.; Suhov, Yu. M. 2 1993 Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Zbl 0811.00025 2 1993 On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0864.60086Olivieri, Enzo; Picco, Pierre; Suhov, Yurii M. 1 1993 Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 12 1992 A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 6 1992 On the R.E.M. and the G.R.E.M. Zbl 0787.60126Picco, Pierre 1 1992 Dynamical phase transitions in disordered systems: The study of a random walk model. Zbl 0741.60107Cassandro, Marzio; Galves, Antonio; Picco, Pierre 3 1991 Poisson point processes, cascades, and random coverings of \(R^ n\). Zbl 0741.60111Koukiou, F.; Picco, P. 2 1991 Main overlap dynamics for multistate neural networks. Zbl 0793.68053Patrick, A. E.; Picco, P.; Ruiz, J.; Zagrebnov, V. A. 1 1991 Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. Zbl 1083.82509Olivieri, Enzo; Picco, Pierre 19 1990 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106Benfatto, G.; Picco, P.; Pulvirenti, M. 11 1987 Small random perturbations of infinite dimensional dynamical systems and nucleation theory. Zbl 0598.35133Cassandro, M.; Olivieri, E.; Picco, P. 13 1986 On the absence of breakdown of symmetry for the plane rotator model with long range unbounded random interaction. Zbl 0554.60099Picco, P. 2 1985 On the existence of thermodynamics for the random energy model. Zbl 0585.60098Olivieri, Enzo; Picco, Pierre 15 1984 Upper bound on the decay of correlations in the plane rotator model with long-range random interaction. Zbl 0586.60099Picco, P. 5 1984 all cited Publications top 5 cited Publications all top 5 Cited by 315 Authors 15 Picco, Pierre 11 Bovier, Anton 10 Löwe, Matthias 10 Olivieri, Enzo 9 Cassandro, Marzio 9 Martinez Aguilera, Servet 9 van Enter, Aernout C. D. 7 Barra, Adriano 6 Agliari, Elena 6 Ferrari, Pablo Augusto 6 Gayrard, Véronique 6 Zhang, Hanjun 5 Le Ny, Arnaud 5 Martinelli, Fabio 5 Presutti, Errico 4 Bertini, Lorenzo Bertini 4 Bissacot, Rodrigo 4 Cirillo, Emilio Nicola Maria 4 Collet, Pierre 4 Demers, Mark F. 4 Endo, Eric Ossami 4 Fontes, Luiz Renato G. 4 Méléard, Sylvie 4 Orlandi, Enza 4 Romito, Marco 4 Schonmann, Roberto Henrique 4 Vares, Maria Eulalia 4 Vermet, Franck 3 Asselah, Amine 3 Clancy, Damian 3 den Hollander, Frank 3 Fachechi, Alberto 3 Fu, Ke’ang 3 Groisman, Pablo 3 Grotto, Francesco 3 Huang, Wei 3 Jagannath, Aukosh 3 Jonckheere, Matthieu 3 Kimura, Bruno 3 Külske, Christof 3 Littin, Jorge C. 3 Mathieu, Pierre 3 Merola, Immacolata 3 Palmowski, Zbigniew 3 Pollett, Philip K. 3 Ruszel, Wioletta Magdalena 3 San Martín, Jaime 3 van Doorn, Erik A. 2 Aaronson, Jon 2 Albeverio, Sergio A. 2 Alemanno, Francesco 2 Aymone, Marco 2 Ben Arous, Gérard 2 Bianchi, Alessandra 2 Brassesco, Stella 2 Bricmont, Jean 2 Buttà, Paolo 2 Cattiaux, Patrick 2 Champagnat, Nicolas 2 Chen, Anyue 2 Cloez, Bertrand 2 de la Llave, Rafael 2 De Masi, Anna 2 Geldhauser, Carina 2 Gentz, Barbara 2 He, Guoman 2 Kabluchko, Zakhar A. 2 Katsoulakis, Markos A. 2 Klimovsky, Anton 2 Kupiainen, Antti 2 Kurkova, Irina A. 2 Molchanov, Stanislav Alekseevich 2 Neves, E. Jordão 2 Panov, Vladimir A. 2 Park, Yong Moon 2 Plecháč, Petr 2 Rozikov, Utkir A. 2 Scoppola, Benedetto 2 Steinsaltz, David R. 2 Stoica, George 2 Tantari, Daniele 2 Tsagkarogiannis, Dimitrios K. 2 Valdinoci, Enrico 2 Villemonais, Denis 2 Yoo, Hyun Jae 2 Zegarlinski, Boguslaw 2 Zweimüller, Roland 1 Aizenman, Michael 1 Arguin, Louis-Pierre 1 Barbour, Andrew David 1 Barret, Florent 1 Barreto, Stephen Dias 1 Bates, Erik 1 Baudel, Manon 1 Bean, Nigel G. 1 Beccaria, Matteo 1 Bellettini, Giovanni 1 Benaïm, Michel 1 Benfatto, Giuseppe 1 Bhattacharya, Ayan ...and 215 more Authors all top 5 Cited in 68 Serials 46 Journal of Statistical Physics 27 Communications in Mathematical Physics 19 Stochastic Processes and their Applications 14 The Annals of Probability 12 Probability Theory and Related Fields 12 The Annals of Applied Probability 9 Journal of Mathematical Physics 9 Journal of Applied Probability 6 Statistics & Probability Letters 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Electronic Journal of Probability 4 Advances in Applied Probability 4 Israel Journal of Mathematics 4 Electronic Communications in Probability 3 Journal of Mathematical Analysis and Applications 3 Reviews in Mathematical Physics 3 Transactions of the American Mathematical Society 3 Neural Networks 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Theoretical Probability 2 Acta Mathematica Sinica. English Series 2 Probability in the Engineering and Informational Sciences 2 Annales Henri Poincaré 2 Journal of Statistical Mechanics: Theory and Experiment 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Physics Reports 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of Mathematical Economics 1 Ergodic Theory and Dynamical Systems 1 Insurance Mathematics & Economics 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Queueing Systems 1 European Journal of Operational Research 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Algebraic Combinatorics 1 Potential Analysis 1 Test 1 Physics of Fluids 1 Combinatorics, Probability and Computing 1 Economic Theory 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Communications in Contemporary Mathematics 1 Methodology and Computing in Applied Probability 1 Brazilian Journal of Probability and Statistics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Stochastics 1 Frontiers of Mathematics in China 1 Probability Surveys 1 Journal of Probability and Statistics 1 AIMS Mathematics all top 5 Cited in 33 Fields 166 Probability theory and stochastic processes (60-XX) 133 Statistical mechanics, structure of matter (82-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Biology and other natural sciences (92-XX) 15 Partial differential equations (35-XX) 13 Computer science (68-XX) 9 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 7 Ordinary differential equations (34-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Statistics (62-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year