## Bovier, Anton

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 Author ID: bovier.anton Published as: Bovier, Anton; Bovier, A. Homepage: https://wt.iam.uni-bonn.de/bovier/home External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
 Documents Indexed: 122 Publications since 1980, including 5 Books 4 Contributions as Editor Reviewing Activity: 68 Reviews Co-Authors: 65 Co-Authors with 109 Joint Publications 1,329 Co-Co-Authors
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### Co-Authors

 16 single-authored 25 Gayrard, Véronique 11 Kurkova, Irina A. 8 Picco, Pierre 7 Ghez, Jean-Michel 6 Klein, Markus 5 Arguin, Louis-Pierre 5 Černý, Jiří 5 den Hollander, Frank 5 Kistler, Nicola 5 Külske, Christof 4 Ben Arous, Gérard 4 Eckhoff, Michael 4 Hartung, Lisa Bärbel 4 Ioffe, Dmitry 4 Zahradník, Miloš 3 Bellissard, Jean V. 3 Lüling, M. 3 Neukirch, Rebecca 3 Wyler, Daniel 2 Baar, Martina 2 Bianchi, Alessandra 2 Coquille, Loren 2 Faggionato, Alessandra 2 Klein, Abel 2 Klimovsky, Anton 2 Marello, Saeda 2 Mayer, Hannah 2 Niederhauser, Beat M. 2 van Enter, Aernout C. D. 1 Abresch, Uwe 1 Baake, Ellen 1 Baake, Michael 1 Barret, Florent 1 Bashiri, K. 1 Biskup, Marek 1 Bolthausen, Erwin 1 Boutet de Monvel, Anne Marie 1 Brydges, David C. 1 Campanino, Massimo 1 Champagnat, Nicolas 1 Coja-Oghlan, Amin 1 Dalibart, Jean 1 Dunlop, François 1 Fröhlich, Jürg Martin 1 Geldhauser, Carina 1 Glaus, U. 1 Hryniv, Ostap 1 Kotecký, Roman 1 Kraut, Anna 1 Lawler, Gregory Francis 1 Lechtenfeld, Olaf 1 Löwe, Matthias 1 Manzo, Francesco 1 Mason, David M. 1 Méléard, Sylvie 1 Merola, Immacolata 1 Müller, Patrick E. 1 Nardi, Francesca Romana 1 Perez, J. Fernando 1 Presutti, Errico 1 Pulvirenti, Elena 1 Rittenberg, Vladimir 1 Smadi, Charline 1 Spitoni, Cristian 1 Švejda, Adéla 1 Wang, Shidong 1 Weymans, G.
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### Serials

 18 Journal of Statistical Physics 12 Communications in Mathematical Physics 8 Markov Processes and Related Fields 7 The Annals of Probability 7 Probability Theory and Related Fields 7 Electronic Journal of Probability 6 The Annals of Applied Probability 5 Journal of Mathematical Biology 5 Journal of Mathematical Physics 5 Journal of Physics A: Mathematical and General 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Communications on Pure and Applied Mathematics 2 Reviews in Mathematical Physics 2 Journal of the European Mathematical Society (JEMS) 2 Lecture Notes in Mathematics 2 Progress in Probability 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Applied Probability 1 Random Structures & Algorithms 1 Stochastic Processes and their Applications 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Mathematical Physics, Analysis and Geometry 1 Advances in Theoretical and Mathematical Physics 1 International Journal of Theoretical and Applied Finance 1 Acta Physica Polonica B 1 Journal of Statistical Mechanics: Theory and Experiment 1 Cambridge Studies in Advanced Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Cambridge Series in Statistical and Probabilistic Mathematics
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### Fields

 97 Probability theory and stochastic processes (60-XX) 95 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 7 Quantum theory (81-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

114 Publications have been cited 1,530 times in 783 Documents Cited by Year
Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times. Zbl 1076.82045
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2004
Metastability and low lying spectra in reversible Markov chains. Zbl 1010.60088
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2002
Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues. Zbl 1105.82025
Bovier, Anton; Gayrard, Véronique; Klein, Markus
2005
Statistical mechanics of disordered systems. A mathematical perspective. Zbl 1108.82002
Bovier, Anton
2006
Metastability. A potential-theoretic approach. Zbl 1339.60002
Bovier, Anton; den Hollander, Frank
2015
Metastability in stochastic dynamics of disordered mean-field models. Zbl 1012.82015
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2001
The extremal process of branching Brownian motion. Zbl 1286.60045
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2013
Derrida’s generalised random energy models. I: Models with finitely many hierarchies. Zbl 1121.82020
Bovier, Anton; Kurkova, Irina
2004
Spectral properties of a tight binding Hamiltonian with period doubling potential. Zbl 0726.58038
Bellissard, Jean; Bovier, Anton; Ghez, Jean-Michel
1991
Fluctuations of the free energy in the REM and the $$p$$-spin SK models. Zbl 1018.60094
Bovier, Anton; Kurkova, Irina; Löwe, Matthias
2002
Derrida’s generalized random energy models. II: Models with continuous hierarchies. Zbl 1121.82021
Bovier, Anton; Kurkova, Irina
2004
Genealogy of extremal particles of branching Brownian motion. Zbl 1236.60081
Arguin, L.-P.; Bovier, A.; Kistler, N.
2011
Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics. Zbl 1067.82041
Bovier, Anton; Manzo, Francesco
2002
Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Zbl 0820.35099
Bovier, Anton; Ghez, Jean-Michel
1993
Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
2003
Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
2003
Poissonian statistics in the extremal process of branching Brownian motion. Zbl 1255.60152
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2012
Metastability: a potential theoretic approach. Zbl 1099.60052
Bovier, Anton
2006
Gap labelling theorems for one dimensional discrete Schrödinger operators. Zbl 0791.47009
Bellissard, Jean; Bovier, Anton; Ghez, Jean-Michel
1992
Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures. Zbl 1193.60114
Bovier, Anton; den Hollander, Frank; Spitoni, Cristian
2010
Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří
2008
Sharp asymptotics for metastability in the random field Curie-Weiss model. Zbl 1186.82069
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2009
Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1994
Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary. Zbl 1099.60066
Bovier, A.; den Hollander, F.; Nardi, F. R.
2006
Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1995
The low-temperature phase of Kac-Ising models. Zbl 0929.60080
Bovier, Anton; Zahradnik, Miloś
1997
A simple inductive approach to the problem of convergence of cluster expansions of polymer models. Zbl 1055.82532
Bovier, Anton; Zahradník, Miloš
2000
Spectral characterization of aging: the REM-like trap model. Zbl 1086.60064
Bovier, Anton; Faggionato, Alessandra
2005
Hopfield models as generalized random mean field models. Zbl 0899.60087
Bovier, Anton; Gayrard, Véronique
1998
The density of states in the Anderson model at weak disorder: A renormalization group analysis of the hierarchical model. Zbl 0718.60121
Bovier, Anton
1990
Gaussian processes on trees. From spin glasses to branching Brownian motion. Zbl 1378.60004
Bovier, Anton
2017
A law of the iterated logarithm for random geometric series. Zbl 0770.60029
Bovier, Anton; Picco, Pierre
1993
Statistical mechanics of disordered systems. A mathematical perspective. Reprint of the 2006 hardback ed. Zbl 1246.82001
Bovier, Anton
2012
Convergence of clock processes in random environments and ageing in the $$p$$-spin SK model. Zbl 1267.82114
Bovier, Anton; Gayrard, Véronique
2013
The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution. Zbl 0866.60085
Bovier, Anton; Gayrard, Véronique
1997
Smoothness of the density of states in the Anderson model at high disorder. Zbl 0644.60057
Bovier, Anton; Campanino, Massimo; Klein, Abel; Perez, J. Fernando
1988
The extremal process of two-speed branching Brownian motion. Zbl 1288.60108
Bovier, Anton; Hartung, Lisa Bärbel
2014
The thermodynamics of the Curie-Weiss model with random couplings. Zbl 1100.82515
Bovier, Anton; Gayrard, Véronique
1993
Uniform estimates for metastable transition times in a coupled bistable system. Zbl 1191.82040
Barret, Florent; Bovier, Anton; Méléard, Sylvie
2010
Rigorous bounds on the storage capacity of the dilute Hopfield model. Zbl 0900.82064
Bovier, Anton; Gayrard, Véronique
1992
A rigorous renormalization group method for interfaces in random media. Zbl 0802.60098
Bovier, Anton; Külske, Christof
1994
Sharp upper bounds on perfect retrieval in the Hopfield model. Zbl 0947.60092
Bovier, Anton
1999
Weak disorder expansion of the invariant measure for the one-dimensional Anderson model. Zbl 1086.82500
Bovier, Anton; Klein, Abel
1988
Stochastic symmetry-breaking in a Gaussian Hopfield model. Zbl 0964.82024
Bovier, Anton; van Enter, Aernout C. D.; Niederhauser, Beat
1999
There are no nice interfaces in $$(2+1)$$-dimensional SOS models in random media. Zbl 1081.82571
Bovier, Anton; Külske, Christof
1996
On the Gibbs phase rule in the Pirogov-Sinai regime. Zbl 1129.82304
Bovier, A.; Merola, I.; Presutti, E.; Zahradník, M.
2004
An asymptotic maximum principle for essentially linear evolution models. Zbl 1055.92038
Baake, Ellen; Baake, Michael; Bovier, Anton; Klein, Markus
2005
Much ado about Derrida’s GREM. Zbl 1116.82018
Bovier, Anton; Kurkova, Irina
2007
From stochastic, individual-based models to the canonical equation of adaptive dynamics in one step. Zbl 1371.92094
Baar, Martina; Bovier, Anton; Champagnat, Nicolas
2017
Metastability. Zbl 1180.82008
Bovier, Anton
2009
Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences. Zbl 1044.82547
Bovier, Anton; Ghez, Jean-Michel
1995
An almost sure central limit theorem for the Hopfield model. Zbl 0907.60078
Bovier, A.; Gayrard, V.
1997
Convergence of a kinetic equation to a fractional diffusion equation. Zbl 1198.82052
Basile, G.; Bovier, A.
2010
Variable speed branching Brownian motion. I: Extremal processes in the weak correlation regime. Zbl 1321.60173
Bovier, Anton; Hartung, Lisa
2015
Local energy statistics in disordered systems: a proof of the local REM conjecture. Zbl 1104.82026
Bovier, Anton; Kurkova, Irina
2006
Spectral analysis of Sinai’s walk for small eigenvalues. Zbl 1154.60078
Bovier, Anton; Faggionato, Alessandra
2008
Convergence to extremal processes in random environments and extremal ageing in SK models. Zbl 1284.82048
Bovier, Anton; Gayrard, Véronique; Švejda, Adéla
2013
A tomography of the GREM: Beyond the REM conjecture. Zbl 1104.82027
Bovier, Anton; Kurkova, Irina
2006
Survival of a recessive allele in a Mendelian diploid model. Zbl 1370.92093
Neukirch, Rebecca; Bovier, Anton
2017
Finite subgroups of SU(3). Zbl 0493.20030
Bovier, A.; Lueling, M.; Wyler, D.
1981
Rigorous results on the thermodynamics of the dilute Hopfield model. Zbl 1096.82517
Bovier, Anton; Gayrard, Véronique
1993
Pointwise estimates and exponential laws in metastable systems via coupling methods. Zbl 1237.82039
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2012
Erratum: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Zbl 0841.35072
Bovier, Anton; Ghez, Jean-Michel
1994
The Aizenman-Sims-Starr and Guerra’s schemes for the SK model with multidimensional spins. Zbl 1205.60166
Bovier, Anton; Klimovsky, Anton
2009
Metastability and small eigenvalues in Markov chains. Zbl 0970.82035
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2000
Mathematical aspects of spin classes and neural networks. Zbl 0881.00017
1998
Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1995
Mathematical aspects of the physics of disordered systems. Zbl 0669.60098
Fröhlich, Jürg; Bovier, A.; Glaus, U.
1986
Metastates in the Hopfield model in the replica symmetric regime. Zbl 0910.60081
Bovier, Anton; Gayrard, Véronique
1998
Metastability and ageing in stochastic dynamics. Zbl 1085.82011
Bovier, Anton
2004
An almost sure large deviation principle for the Hopfield model. Zbl 0871.60022
Bovier, Anton; Gayrard, Véronique
1996
Fluctuations of the partition function in the generalized random energy model with external field. Zbl 1159.81307
Bovier, Anton; Klimovsky, Anton
2008
Spin glasses. Zbl 1103.82003
2007
An ergodic theorem for the frontier of branching Brownian motion. Zbl 1286.60082
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2013
The spin-glass phase-transition in the Hopfield model with $$p$$-spin interactions. Zbl 1011.82008
Bovier, Anton; Niederhauser, Beat
2001
Cluster expansions and Pirogov-Sinai theory for long range spin systems. Zbl 1035.82010
Bovier, A.; Zahradník, M.
2002
Extreme value behavior in the Hopfield model. Zbl 1024.82015
Bovier, Anton; Mason, David M.
2001
From spin glasses to branching Brownian motion – and back? Zbl 1337.60210
Bovier, Anton
2015
Extended convergence of the extremal process of branching Brownian motion. Zbl 1373.60145
Bovier, Anton; Hartung, Lisa
2017
Crossing a fitness valley as a metastable transition in a stochastic population model. Zbl 1433.92033
Bovier, Anton; Coquille, Loren; Smadi, Charline
2019
Gradient flow approach to local mean-field spin systems. Zbl 1471.60145
Bashiri, K.; Bovier, A.
2020
Metastability for the dilute Curie-Weiss model with Glauber dynamics. Zbl 1469.60308
Bovier, Anton; Marello, Saeda; Pulvirenti, Elena
2021
Self-averaging in a class of generalized Hopfield models. Zbl 0843.60093
Bovier, Anton
1994
Rigorous results on the Hopfield model of neural networks. Zbl 0846.92001
Bovier, Anton; Gayrard, Véronique
1994
Finite nonabelian subgroups of $$SU(n)$$ with analytic expressions for the irreducible representations and the Clebsch-Gordan coefficients. Zbl 0453.22007
Abresch, Uwe; Bovier, A.; Lechtenfeld, O.; Lüling, M.; Rittenberg, V.; Weymans, G.
1980
Limit theorems for Bernoulli convolutions. Zbl 0879.60019
Bovier, A.; Picco, P.
1996
Rigorous results on some simple spin glass models. Zbl 1031.82053
Bovier, A.; Kurkova, I.
2003
A short course on mean field spin glasses. Zbl 1209.82042
Bovier, Anton; Kurkova, Irina
2009
Local energy statistics in spin glasses. Zbl 1122.82047
Bovier, Anton; Kurkova, Irina
2007
Poisson convergence in the restricted $$k$$-partitioning problem. Zbl 1136.90448
Bovier, Anton; Kurkova, Irina
2007
The opinion game: stock price evolution from microscopic market modeling. Zbl 1131.91021
Bovier, Anton; Černý, Jiří; Hryniv, Ostap
2006
The recovery of a recessive allele in a Mendelian diploid model. Zbl 1415.92123
Bovier, Anton; Coquille, Loren; Neukirch, Rebecca
2018
Discrete Schrödinger operators with potentials generated by substitutions. Zbl 0790.11018
Bellissard, Jean; Bovier, Anton; Ghez, Jean-Michel
1993
Bernoulli convolutions, dynamical systems and automata. Zbl 0886.58056
Bovier, Anton
1996
Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1997
Perturbation theory for the random dimer model. Zbl 0748.60101
Bovier, Anton
1992
Statistical mechanics of neural networks: The Hopfield model and the Kac-Hopfield model. Zbl 0910.60086
Bovier, A.; Gayrard, V.
1997
An ergodic theorem for the extremal process of branching Brownian motion. Zbl 1315.60063
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2015
A conditional strong large deviation result and a functional central limit theorem for the rate function. Zbl 1321.60045
Bovier, Anton; Mayer, Hannah
2015
Representations and Clebsch-Gordan coefficients of Z-metacyclic groups. Zbl 0501.20005
Bovier, A.; Lueling, M.; Wyler, D.
1981
Metastability for the dilute Curie-Weiss model with Glauber dynamics. Zbl 1469.60308
Bovier, Anton; Marello, Saeda; Pulvirenti, Elena
2021
Gradient flow approach to local mean-field spin systems. Zbl 1471.60145
Bashiri, K.; Bovier, A.
2020
From 1 to 6 : a finer analysis of perturbed branching Brownian motion. Zbl 1445.60060
Bovier, Anton; Hartung, Lisa
2020
Crossing a fitness valley as a metastable transition in a stochastic population model. Zbl 1433.92033
Bovier, Anton; Coquille, Loren; Smadi, Charline
2019
From adaptive dynamics to adaptive walks. Zbl 1430.37111
Kraut, Anna; Bovier, Anton
2019
The recovery of a recessive allele in a Mendelian diploid model. Zbl 1415.92123
Bovier, Anton; Coquille, Loren; Neukirch, Rebecca
2018
The polymorphic evolution sequence for populations with phenotypic plasticity. Zbl 1415.92120
Baar, Martina; Bovier, Anton
2018
The hydrodynamic limit for local mean-field dynamics with unbounded spins. Zbl 1401.35291
Bovier, Anton; Ioffe, Dmitry; Müller, Patrick
2018
Gaussian processes on trees. From spin glasses to branching Brownian motion. Zbl 1378.60004
Bovier, Anton
2017
From stochastic, individual-based models to the canonical equation of adaptive dynamics in one step. Zbl 1371.92094
Baar, Martina; Bovier, Anton; Champagnat, Nicolas
2017
Survival of a recessive allele in a Mendelian diploid model. Zbl 1370.92093
Neukirch, Rebecca; Bovier, Anton
2017
Extended convergence of the extremal process of branching Brownian motion. Zbl 1373.60145
Bovier, Anton; Hartung, Lisa
2017
Metastability. A potential-theoretic approach. Zbl 1339.60002
Bovier, Anton; den Hollander, Frank
2015
Variable speed branching Brownian motion. I: Extremal processes in the weak correlation regime. Zbl 1321.60173
Bovier, Anton; Hartung, Lisa
2015
From spin glasses to branching Brownian motion – and back? Zbl 1337.60210
Bovier, Anton
2015
An ergodic theorem for the extremal process of branching Brownian motion. Zbl 1315.60063
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2015
A conditional strong large deviation result and a functional central limit theorem for the rate function. Zbl 1321.60045
Bovier, Anton; Mayer, Hannah
2015
The extremal process of two-speed branching Brownian motion. Zbl 1288.60108
Bovier, Anton; Hartung, Lisa Bärbel
2014
A note on metastable behaviour in the zero-range process. Zbl 1325.60153
Bovier, Anton; Neukirch, Rebecca
2014
The extremal process of branching Brownian motion. Zbl 1286.60045
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2013
Convergence of clock processes in random environments and ageing in the $$p$$-spin SK model. Zbl 1267.82114
Bovier, Anton; Gayrard, Véronique
2013
Convergence to extremal processes in random environments and extremal ageing in SK models. Zbl 1284.82048
Bovier, Anton; Gayrard, Véronique; Švejda, Adéla
2013
An ergodic theorem for the frontier of branching Brownian motion. Zbl 1286.60082
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2013
Trait substitution trees on two time scales analysis. Zbl 1301.92060
Bovier, A.; Wang, Shi-Dong
2013
Poissonian statistics in the extremal process of branching Brownian motion. Zbl 1255.60152
Arguin, Louis-Pierre; Bovier, Anton; Kistler, Nicola
2012
Statistical mechanics of disordered systems. A mathematical perspective. Reprint of the 2006 hardback ed. Zbl 1246.82001
Bovier, Anton
2012
Pointwise estimates and exponential laws in metastable systems via coupling methods. Zbl 1237.82039
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2012
Metastability: from mean field models to SPDEs. Zbl 1251.82042
Bovier, Anton
2012
Genealogy of extremal particles of branching Brownian motion. Zbl 1236.60081
Arguin, L.-P.; Bovier, A.; Kistler, N.
2011
Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures. Zbl 1193.60114
Bovier, Anton; den Hollander, Frank; Spitoni, Cristian
2010
Uniform estimates for metastable transition times in a coupled bistable system. Zbl 1191.82040
Barret, Florent; Bovier, Anton; Méléard, Sylvie
2010
Convergence of a kinetic equation to a fractional diffusion equation. Zbl 1198.82052
Basile, G.; Bovier, A.
2010
Sharp asymptotics for metastability in the random field Curie-Weiss model. Zbl 1186.82069
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
2009
Metastability. Zbl 1180.82008
Bovier, Anton
2009
The Aizenman-Sims-Starr and Guerra’s schemes for the SK model with multidimensional spins. Zbl 1205.60166
Bovier, Anton; Klimovsky, Anton
2009
A short course on mean field spin glasses. Zbl 1209.82042
Bovier, Anton; Kurkova, Irina
2009
Universality of the REM for dynamics of mean-field spin glasses. Zbl 1208.82024
Ben Arous, Gérard; Bovier, Anton; Černý, Jiří
2008
Spectral analysis of Sinai’s walk for small eigenvalues. Zbl 1154.60078
Bovier, Anton; Faggionato, Alessandra
2008
Fluctuations of the partition function in the generalized random energy model with external field. Zbl 1159.81307
Bovier, Anton; Klimovsky, Anton
2008
Much ado about Derrida’s GREM. Zbl 1116.82018
Bovier, Anton; Kurkova, Irina
2007
Spin glasses. Zbl 1103.82003
2007
Local energy statistics in spin glasses. Zbl 1122.82047
Bovier, Anton; Kurkova, Irina
2007
Poisson convergence in the restricted $$k$$-partitioning problem. Zbl 1136.90448
Bovier, Anton; Kurkova, Irina
2007
Hydrodynamic limit for the $$A+B\rightarrow \emptyset$$ model. Zbl 1156.82022
Bovier, A.; Černý, Jiří
2007
Statistical mechanics of disordered systems. A mathematical perspective. Zbl 1108.82002
Bovier, Anton
2006
Metastability: a potential theoretic approach. Zbl 1099.60052
Bovier, Anton
2006
Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary. Zbl 1099.60066
Bovier, A.; den Hollander, F.; Nardi, F. R.
2006
Local energy statistics in disordered systems: a proof of the local REM conjecture. Zbl 1104.82026
Bovier, Anton; Kurkova, Irina
2006
A tomography of the GREM: Beyond the REM conjecture. Zbl 1104.82027
Bovier, Anton; Kurkova, Irina
2006
The opinion game: stock price evolution from microscopic market modeling. Zbl 1131.91021
Bovier, Anton; Černý, Jiří; Hryniv, Ostap
2006
Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues. Zbl 1105.82025
Bovier, Anton; Gayrard, Véronique; Klein, Markus
2005
Spectral characterization of aging: the REM-like trap model. Zbl 1086.60064
Bovier, Anton; Faggionato, Alessandra
2005
An asymptotic maximum principle for essentially linear evolution models. Zbl 1055.92038
Baake, Ellen; Baake, Michael; Bovier, Anton; Klein, Markus
2005
Coarse-graining techniques for (random) Kac models. Zbl 1081.82008
Bovier, Anton; Külske, Christof
2005
Energy statistics in disordered systems: the local REM conjecture and beyond. Zbl 1371.82048
Bovier, Anton; Kurkova, Irina
2005
Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times. Zbl 1076.82045
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2004
Derrida’s generalised random energy models. I: Models with finitely many hierarchies. Zbl 1121.82020
Bovier, Anton; Kurkova, Irina
2004
Derrida’s generalized random energy models. II: Models with continuous hierarchies. Zbl 1121.82021
Bovier, Anton; Kurkova, Irina
2004
On the Gibbs phase rule in the Pirogov-Sinai regime. Zbl 1129.82304
Bovier, A.; Merola, I.; Presutti, E.; Zahradník, M.
2004
Metastability and ageing in stochastic dynamics. Zbl 1085.82011
Bovier, Anton
2004
Glauber dynamics of the random energy model. I: Metastable motion on the extreme states. Zbl 1037.82038
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
2003
Glauber dynamics of the random energy model. II: Aging below the critical temperature. Zbl 1037.82039
Ben Arous, Gérard; Bovier, Anton; Gayrard, Véronique
2003
Rigorous results on some simple spin glass models. Zbl 1031.82053
Bovier, A.; Kurkova, I.
2003
Metastability and low lying spectra in reversible Markov chains. Zbl 1010.60088
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2002
Fluctuations of the free energy in the REM and the $$p$$-spin SK models. Zbl 1018.60094
Bovier, Anton; Kurkova, Irina; Löwe, Matthias
2002
Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics. Zbl 1067.82041
Bovier, Anton; Manzo, Francesco
2002
Cluster expansions and Pirogov-Sinai theory for long range spin systems. Zbl 1035.82010
Bovier, A.; Zahradník, M.
2002
Metastability in stochastic dynamics of disordered mean-field models. Zbl 1012.82015
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2001
The spin-glass phase-transition in the Hopfield model with $$p$$-spin interactions. Zbl 1011.82008
Bovier, Anton; Niederhauser, Beat
2001
Extreme value behavior in the Hopfield model. Zbl 1024.82015
Bovier, Anton; Mason, David M.
2001
A simple inductive approach to the problem of convergence of cluster expansions of polymer models. Zbl 1055.82532
Bovier, Anton; Zahradník, Miloš
2000
Metastability and small eigenvalues in Markov chains. Zbl 0970.82035
Bovier, Anton; Eckhoff, Michael; Gayrard, Véronique; Klein, Markus
2000
Sharp upper bounds on perfect retrieval in the Hopfield model. Zbl 0947.60092
Bovier, Anton
1999
Stochastic symmetry-breaking in a Gaussian Hopfield model. Zbl 0964.82024
Bovier, Anton; van Enter, Aernout C. D.; Niederhauser, Beat
1999
Hopfield models as generalized random mean field models. Zbl 0899.60087
Bovier, Anton; Gayrard, Véronique
1998
Mathematical aspects of spin classes and neural networks. Zbl 0881.00017
1998
Metastates in the Hopfield model in the replica symmetric regime. Zbl 0910.60081
Bovier, Anton; Gayrard, Véronique
1998
The Kac version of the Sherrington-Kirkpatrick model at high temperatures. Zbl 0928.60089
Bovier, Anton
1998
The low-temperature phase of Kac-Ising models. Zbl 0929.60080
Bovier, Anton; Zahradnik, Miloś
1997
The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution. Zbl 0866.60085
Bovier, Anton; Gayrard, Véronique
1997
An almost sure central limit theorem for the Hopfield model. Zbl 0907.60078
Bovier, A.; Gayrard, V.
1997
Distribution of overlap profiles in the one-dimensional Kac-Hopfield model. Zbl 0884.60095
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1997
Statistical mechanics of neural networks: The Hopfield model and the Kac-Hopfield model. Zbl 0910.60086
Bovier, A.; Gayrard, V.
1997
There are no nice interfaces in $$(2+1)$$-dimensional SOS models in random media. Zbl 1081.82571
Bovier, Anton; Külske, Christof
1996
An almost sure large deviation principle for the Hopfield model. Zbl 0871.60022
Bovier, Anton; Gayrard, Véronique
1996
Limit theorems for Bernoulli convolutions. Zbl 0879.60019
Bovier, A.; Picco, P.
1996
Bernoulli convolutions, dynamical systems and automata. Zbl 0886.58056
Bovier, Anton
1996
Gibbs states of the Hopfield model with extensively many patterns. Zbl 1081.82570
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1995
Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences. Zbl 1044.82547
Bovier, Anton; Ghez, Jean-Michel
1995
Large deviation principles for the Hopfield model and the Kac-Hopfield model. Zbl 0826.60090
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1995
Gibbs states of the Hopfield model in the regime of perfect memory. Zbl 0810.60094
Bovier, Anton; Gayrard, Véronique; Picco, Pierre
1994
A rigorous renormalization group method for interfaces in random media. Zbl 0802.60098
Bovier, Anton; Külske, Christof
1994
Erratum: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Zbl 0841.35072
Bovier, Anton; Ghez, Jean-Michel
1994
Self-averaging in a class of generalized Hopfield models. Zbl 0843.60093
Bovier, Anton
1994
Rigorous results on the Hopfield model of neural networks. Zbl 0846.92001
Bovier, Anton; Gayrard, Véronique
1994
Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Zbl 0820.35099
Bovier, Anton; Ghez, Jean-Michel
1993
A law of the iterated logarithm for random geometric series. Zbl 0770.60029
Bovier, Anton; Picco, Pierre
1993
The thermodynamics of the Curie-Weiss model with random couplings. Zbl 1100.82515
Bovier, Anton; Gayrard, Véronique
1993
Rigorous results on the thermodynamics of the dilute Hopfield model. Zbl 1096.82517
Bovier, Anton; Gayrard, Véronique
1993
Discrete Schrödinger operators with potentials generated by substitutions. Zbl 0790.11018
Bellissard, Jean; Bovier, Anton; Ghez, Jean-Michel
1993
...and 14 more Documents
all top 5

### Cited by 894 Authors

 45 Bovier, Anton 22 Löwe, Matthias 19 Nardi, Francesca Romana 18 Külske, Christof 16 Landim, Claudio 14 Barra, Adriano 14 Kistler, Nicola 13 Arguin, Louis-Pierre 13 Gayrard, Véronique 12 Damanik, David 11 Ben Arous, Gérard 11 Černý, Jiří 10 Klein, Markus 10 Picco, Pierre 10 Vermet, Franck 9 Warzel, Simone 8 Agliari, Elena 8 den Hollander, Frank 8 Hartung, Lisa Bärbel 8 Jagannath, Aukosh 8 Kabluchko, Zakhar A. 8 Louidor, Oren 8 Mallein, Bastien 8 Presutti, Errico 8 Seo, Insuk 8 van Enter, Aernout C. D. 7 Contucci, Pierluigi 7 Fontes, Luiz Renato G. 7 Gaudilliere, Alexandre 7 Pavlyukevich, Ilya 7 Rosenberger, Elke 7 Tsagkarogiannis, Dimitrios K. 6 Bellissard, Jean V. 6 Berglund, Nils 6 Chatterjee, Sourav 6 Fernández, Roberto 6 Giardinà, Cristian 6 Guerra, Francesco 6 Högele, Michael Anton 6 Le Peutrec, Dorian 6 Lelièvre, Tony 6 Molchanov, Stanislav Alekseevich 6 Nectoux, Boris 6 Schütte, Christof 6 Smadi, Charline 6 Spitoni, Cristian 5 Beckus, Siegfried 5 Bendikov, Alexander D. 5 Berestycki, Julien 5 Betz, Volker 5 Borgs, Christian 5 Cassandro, Marzio 5 Chayes, Jennifer Tour 5 Cirillo, Emilio Nicola Maria 5 Cortines, Aser 5 Daletskii, Alexei 5 Faggionato, Alessandra 5 Gentz, Barbara 5 Imkeller, Peter 5 Katsoulakis, Markos A. 5 Kurkova, Irina A. 5 Lenz, Daniel H. 5 Liu, Qinghui 5 Madaule, Thomas 5 Merola, Immacolata 5 Orlandi, Enza 5 Schlichting, André 5 Schubert, Kristina 5 Talagrand, Michel 5 Toninelli, Fabio Lucio 5 Vanden-Eijnden, Eric 5 von Soosten, Per 5 Zeitouni, Ofer 4 Baake, Ellen 4 Baake, Michael 4 Berestycki, Nathanaël 4 Bissacot, Rodrigo 4 de Oliveira, César R. 4 Di Gesù, Giacomo 4 Ding, Jian 4 Fachechi, Alberto 4 Gantert, Nina 4 Giacomin, Giambattista 4 Gorodetskii, Anton Semenovich 4 Klein, Abel 4 Kondrat’yev, Yuriĭ Grygorovych 4 Lacoin, Hubert 4 Maillard, Pascal 4 Menz, Georg 4 Ouimet, Frédéric 4 Panchenko, Dmitry 4 Perez, J. Fernando 4 Plecháč, Petr 4 Rozikov, Utkir A. 4 Schmidt, Marius Alexander 4 Schulz-Baldes, Hermann 4 Scoppola, Elisabetta 4 Sollich, Peter 4 Tantari, Daniele 4 van der Hofstad, Remco W. ...and 794 more Authors
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### Cited in 158 Serials

 145 Journal of Statistical Physics 55 Communications in Mathematical Physics 40 The Annals of Probability 40 Probability Theory and Related Fields 34 Stochastic Processes and their Applications 29 The Annals of Applied Probability 27 Journal of Mathematical Physics 21 Annales Henri Poincaré 19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 19 Electronic Journal of Probability 16 Journal of Statistical Mechanics: Theory and Experiment 11 Electronic Communications in Probability 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Journal of Mathematical Biology 9 Journal of Functional Analysis 8 Statistics & Probability Letters 8 Journal of Theoretical Probability 7 Journal of Mathematical Analysis and Applications 6 Reviews in Mathematical Physics 6 Bernoulli 6 Mathematical Physics, Analysis and Geometry 5 Journal of Applied Probability 5 SIAM Journal on Mathematical Analysis 5 Journal of the European Mathematical Society (JEMS) 5 Brazilian Journal of Probability and Statistics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Mathematics 4 Letters in Mathematical Physics 4 Advances in Mathematics 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 4 Potential Analysis 4 Chaos 4 Stochastics and Dynamics 3 Advances in Applied Probability 3 Archive for Rational Mechanics and Analysis 3 Theory of Probability and its Applications 3 Inventiones Mathematicae 3 Theoretical Computer Science 3 Random Structures & Algorithms 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Nonlinear Science 3 Multiscale Modeling & Simulation 3 Stochastics 2 Nonlinearity 2 Physica A 2 Russian Mathematical Surveys 2 Bulletin of Mathematical Biology 2 The Annals of Statistics 2 Duke Mathematical Journal 2 Stochastic Analysis and Applications 2 Physica D 2 Neural Networks 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of Difference Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Acta Mathematica Sinica. English Series 2 Physical Review Letters 2 Oberwolfach Reports 2 Journal of Spectral Theory 2 Annals of PDE 1 International Journal of Modern Physics B 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization 1 Automatica 1 Integral Equations and Operator Theory 1 Journal of Mathematical Economics 1 Journal of Number Theory 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae ...and 58 more Serials
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### Cited in 50 Fields

 479 Probability theory and stochastic processes (60-XX) 440 Statistical mechanics, structure of matter (82-XX) 70 Partial differential equations (35-XX) 68 Quantum theory (81-XX) 59 Dynamical systems and ergodic theory (37-XX) 56 Operator theory (47-XX) 48 Biology and other natural sciences (92-XX) 35 Combinatorics (05-XX) 27 Numerical analysis (65-XX) 27 Computer science (68-XX) 25 Ordinary differential equations (34-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Number theory (11-XX) 21 Statistics (62-XX) 19 Functional analysis (46-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Convex and discrete geometry (52-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Group theory and generalizations (20-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Difference and functional equations (39-XX) 9 Measure and integration (28-XX) 9 Operations research, mathematical programming (90-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Topological groups, Lie groups (22-XX) 5 $$K$$-theory (19-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX)

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