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Author ID: picco.pierre Recent zbMATH articles by "Picco, Pierre"
Published as: Picco, Pierre; Picco, P.
Homepage: https://www.i2m.univ-amu.fr/spip.php?page=pageperso&nom=Picco&prenom=Pierre&lang...
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Publications by Year

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 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
57
1995
Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
19
1995
Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. Zbl 1083.82509
Olivieri, Enzo; Picco, Pierre
19
1990
Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
19
1994
Phase transition in the 1d random field Ising model with long range interaction. Zbl 1173.82011
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
15
2009
On the existence of thermodynamics for the random energy model. Zbl 0585.60098
Olivieri, Enzo; Picco, Pierre
15
1984
A law of the iterated logarithm for random geometric series. Zbl 0770.60029
Bovier, Anton; Picco, Pierre
15
1993
Small random perturbations of infinite dimensional dynamical systems and nucleation theory. Zbl 0598.35133
Cassandro, M.; Olivieri, E.; Picco, P.
13
1986
The spectral gap of the REM under Metropolis dynamics. Zbl 0935.60084
Fontes, L. R. G.; Isopi, M.; Kohayakawa, Y.; Picco, P.
12
1998
Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063
Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre
12
1992
Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. Zbl 0911.60070
Martínez, Servet; Picco, Pierre; San Martín, Jaime
11
1998
Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096
Mathieu, P.; Picco, P.
11
1998
On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106
Benfatto, G.; Picco, P.; Pulvirenti, M.
11
1987
One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir
9
2014
A law of the iterated logarithm for geometrically weighted martingale difference sequences. Zbl 0802.60029
Picco, 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 1370.82022
Littin, Jorge; Picco, Pierre
6
2017
A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110
Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre
6
1992
Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090
Bovier, 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 0586.60099
Picco, P.
5
1984
Typical configurations for one-dimensional random field Kac model. Zbl 0983.60091
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
5
1999
Typical Gibbs configurations for the 1d random field Ising model with long range interaction. Zbl 1242.82008
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
5
2012
Phase separation for the long range one-dimensional Ising model. Zbl 1376.82016
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre
4
2017
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre
4
1994
Dynamical phase transitions in disordered systems: The study of a random walk model. Zbl 0741.60107
Cassandro, Marzio; Galves, Antonio; Picco, Pierre
3
1991
One-dimensional random field Kac’s model: localization of the phases. Zbl 1109.60079
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre; Eulalia Vares, Maria
3
2005
The optimal interface profile for a non-local model of phase separation. Zbl 1006.60098
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
3
2002
Limit theorems for Bernoulli convolutions. Zbl 0879.60019
Bovier, A.; Picco, P.
3
1996
Large-deviation principle for one-dimensional vector spin models with Kac potentials. Zbl 0942.60098
Buttà, Paolo; Picco, Pierre
3
1998
On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0935.82504
Olivieri, 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 0554.60099
Picco, P.
2
1985
Poisson point processes, cascades, and random coverings of \(R^ n\). Zbl 0741.60111
Koukiou, F.; Picco, P.
2
1991
On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540
Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre
2
2000
Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
2
1997
Artificial neural networks. A review from physical and mathematical points of view. Zbl 0848.68085
Picco, 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 0793.68053
Patrick, A. E.; Picco, P.; Ruiz, J.; Zagrebnov, V. A.
1
1991
On the R.E.M. and the G.R.E.M. Zbl 0787.60126
Picco, Pierre
1
1992
On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0864.60086
Olivieri, Enzo; Picco, Pierre; Suhov, Yurii M.
1
1993
Existence of a phase transition in a continuous quantum system. Zbl 1126.82309
Cassandro, Marzio; Picco, Pierre
1
2001
One-dimensional random field Kac’s model: weak large deviations principle. Zbl 1191.60117
Picco, Pierre; Orlandi, Enza
1
2009
Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model. Zbl 1370.82022
Littin, Jorge; Picco, Pierre
6
2017
Phase separation for the long range one-dimensional Ising model. Zbl 1376.82016
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre
4
2017
One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir
9
2014
Typical Gibbs configurations for the 1d random field Ising model with long range interaction. Zbl 1242.82008
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
5
2012
Phase transition in the 1d random field Ising model with long range interaction. Zbl 1173.82011
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
15
2009
One-dimensional random field Kac’s model: weak large deviations principle. Zbl 1191.60117
Picco, Pierre; Orlandi, Enza
1
2009
One-dimensional random field Kac’s model: localization of the phases. Zbl 1109.60079
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre; Eulalia Vares, Maria
3
2005
The optimal interface profile for a non-local model of phase separation. Zbl 1006.60098
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
3
2002
Existence of a phase transition in a continuous quantum system. Zbl 1126.82309
Cassandro, Marzio; Picco, Pierre
1
2001
On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540
Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre
2
2000
Typical configurations for one-dimensional random field Kac model. Zbl 0983.60091
Cassandro, Marzio; Orlandi, Enza; Picco, Pierre
5
1999
The spectral gap of the REM under Metropolis dynamics. Zbl 0935.60084
Fontes, 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 0911.60070
Martínez, Servet; Picco, Pierre; San Martín, Jaime
11
1998
Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096
Mathieu, 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 0942.60098
Buttà, Paolo; Picco, Pierre
3
1998
Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
2
1997
Limit theorems for Bernoulli convolutions. Zbl 0879.60019
Bovier, A.; Picco, P.
3
1996
Artificial neural networks. A review from physical and mathematical points of view. Zbl 0848.68085
Picco, Pierre
2
1996
Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
57
1995
Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
19
1995
Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
6
1995
Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
19
1994
A law of the iterated logarithm for geometrically weighted martingale difference sequences. Zbl 0802.60029
Picco, Pierre; Vares, Maria Eulalia
7
1994
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre
4
1994
A law of the iterated logarithm for random geometric series. Zbl 0770.60029
Bovier, Anton; Picco, Pierre
15
1993
On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction. Zbl 0935.82504
Olivieri, 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 0864.60086
Olivieri, Enzo; Picco, Pierre; Suhov, Yurii M.
1
1993
Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063
Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre
12
1992
A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110
Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre
6
1992
On the R.E.M. and the G.R.E.M. Zbl 0787.60126
Picco, Pierre
1
1992
Dynamical phase transitions in disordered systems: The study of a random walk model. Zbl 0741.60107
Cassandro, Marzio; Galves, Antonio; Picco, Pierre
3
1991
Poisson point processes, cascades, and random coverings of \(R^ n\). Zbl 0741.60111
Koukiou, F.; Picco, P.
2
1991
Main overlap dynamics for multistate neural networks. Zbl 0793.68053
Patrick, A. E.; Picco, P.; Ruiz, J.; Zagrebnov, V. A.
1
1991
Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. Zbl 1083.82509
Olivieri, Enzo; Picco, Pierre
19
1990
On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106
Benfatto, G.; Picco, P.; Pulvirenti, M.
11
1987
Small random perturbations of infinite dimensional dynamical systems and nucleation theory. Zbl 0598.35133
Cassandro, 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 0554.60099
Picco, P.
2
1985
On the existence of thermodynamics for the random energy model. Zbl 0585.60098
Olivieri, Enzo; Picco, Pierre
15
1984
Upper bound on the decay of correlations in the plane rotator model with long-range random interaction. Zbl 0586.60099
Picco, P.
5
1984
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

Citations by Year