Dynamics of stochastic approximation algorithms. Zbl 0955.62085
Benaïm, Michel |
|
1999
|
Deterministic approximation of stochastic evolution in games. Zbl 1152.91350
Benaïm, Michel; Weibull, Jörgen W. |
|
2003
|
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S. |
|
2011
|
Stochastic approximations and differential inclusions. Zbl 1087.62091
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2005
|
Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1325.60123
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2015
|
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
A dynamical system approach to stochastic approximations. Zbl 0841.62072
Benaim, Michel |
|
1996
|
Quantitative ergodicity for some switched dynamical systems. Zbl 1347.60118
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2012
|
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude |
|
2016
|
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W. |
|
1996
|
Exponential concentration for first passage percolation through modified Poincaré inequalities. Zbl 1186.60102
Benaïm, Michel; Rossignol, Raphaël |
|
2008
|
Persistence of structured populations in random environments. Zbl 1213.92057
Benaïm, Michel; Schreiber, Sebastian J. |
|
2009
|
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier |
|
2002
|
Stochastic approximations and differential inclusions. II: Applications. Zbl 1284.62511
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2006
|
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H. |
|
2008
|
A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103
Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri |
|
2015
|
Recursive algorithms, urn processes and chaining number of chain recurrent sets. Zbl 0921.60061
Benaïm, Michel |
|
1998
|
Random switching between vector fields having a common zero. Zbl 1437.60044
Benaïm, Michel; Strickler, Edouard |
|
2019
|
Stochastic approximation of quasi-stationary distributions on compact spaces and applications. Zbl 06974754
Benaim, Michel; Cloez, Bertrand; Panloup, Fabien |
|
2018
|
Vertex-reinforced random walks and a conjecture of Pemantle. Zbl 0873.60044
Benaïm, Michel |
|
1997
|
On the stability of planar randomly switched systems. Zbl 1288.93090
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2014
|
Learning in games with unstable equilibria. Zbl 1175.91031
Benaïm, Michel; Hofbauer, Josef; Hopkins, Ed |
|
2009
|
Persistence and extinction for stochastic ecological models with internal and external variables. Zbl 1417.92207
Benaïm, Michel; Schreiber, Sebastian J. |
|
2019
|
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
A stochastic approximation approach to quasi-stationary distributions on finite spaces. Zbl 1321.65009
Benaïm, Michel; Cloez, Bertrand |
|
2015
|
Dynamics of vertex-reinforced random walks. Zbl 1242.60044
Benaïm, Michel; Tarrès, Pierre |
|
2011
|
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W. |
|
1995
|
Generalized urn models of evolutionary processes. Zbl 1051.60072
Benaïm, Michel; Schreiber, Sebastian J.; Tarrès, Pierre |
|
2004
|
Self-interacting diffusions. III: Symmetric interactions. Zbl 1085.60073
Benaïm, Michel; Raimond, Olivier |
|
2005
|
Self-repelling diffusions via an infinite dimensional approach. Zbl 1337.60185
Benaïm, Michel; Ciotir, Ioana; Gauthier, Carl-Erik |
|
2015
|
Ergodic properties of weak asymptotic pseudotrajectories for semiflows. Zbl 0998.37013
Benaïm, Michel; Schreiber, Sebastian J. |
|
2000
|
A user-friendly condition for exponential ergodicity in randomly switched environments. Zbl 1397.60106
Benaïm, Michel; Hurth, Tobias; Strickler, Edouard |
|
2018
|
Strongly vertex-reinforced-random-walk on a complete graph. Zbl 1277.60169
Benaim, Michel; Raimond, Olivier; Schapira, Bruno |
|
2013
|
Perturbations of set-valued dynamical systems, with applications to game theory. Zbl 1282.37021
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2012
|
On invariant hypersurfaces of strongly monotone maps. Zbl 0889.58013
Benaïm, Michel |
|
1997
|
Metric properties of the group of area preserving diffeomorphisms. Zbl 0977.57039
Benaim, Michel; Gambaudo, Jean-Marc |
|
2001
|
Convergence of the one-dimensional Kohonen algorithm. Zbl 0980.62066
Benaïm, Michel; Fort, Jean-Claude; Pagès, Gilles |
|
1998
|
Self-interacting diffusions. II: Convergence in law. Zbl 1064.60191
Benaïm, Michel; Raimond, Olivier |
|
2003
|
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories. Zbl 1379.60077
Benaïm, Michel; Bouguet, Florian; Cloez, Bertrand |
|
2017
|
Self-repelling diffusions on a Riemannian manifold. Zbl 1382.58028
Benaïm, Michel; Gauthier, Carl-Erik |
|
2017
|
Stochastic approximation, cooperative dynamics and supermodular games. Zbl 1429.62359
Benaïm, Michel; Faure, Mathieu |
|
2012
|
Consistency of vanishingly smooth fictitious play. Zbl 1297.91027
Benaïm, Michel; Faure, Mathieu |
|
2013
|
Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain. Zbl 1472.60136
Benaïm, Michel; Champagnat, Nicolas; Villemonais, Denis |
|
2021
|
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R. |
|
2017
|
Convergence with probability one of stochastic approximation algorithms whose average is cooperative. Zbl 0948.62062
Benaïm, Michel |
|
2000
|
Stochastic persistence in degenerate stochastic Lotka-Volterra food chains. Zbl 1498.60323
Benaïm, Michel; Bourquin, Antoine; Nguyen, Dang H. |
|
2022
|
Transcritical bifurcation for the conditional distribution of a diffusion process. Zbl 1521.60040
Benaïm, Michel; Champagnat, Nicolas; Oçafrain, William; Villemonais, Denis |
|
2023
|
Stochastic dynamics for systems biology. Zbl 1305.92009
Mazza, Christian; Benaïm, Michel |
|
2014
|
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard |
|
2019
|
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W. |
|
1995
|
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi |
|
2015
|
A class of self-interacting processes with applications to games and reinforced random walks. Zbl 1252.60092
Benaïm, Michel; Raimond, Olivier |
|
2010
|
Self-interacting diffusions. IV: Rate of convergence. Zbl 1245.60089
Benaïm, Michel; Raimond, Olivier |
|
2011
|
Random walks.
(Promenade aléatoire. Chaînes de Markov et simulations, martingales et stratégies.) Zbl 1196.60001
Benaïm, Michel; El Karoui, Nicole |
|
2004
|
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard |
|
2003
|
Analysis of an adaptive biasing force method based on self-interacting dynamics. Zbl 1459.60157
Benaïm, Michel; Bréhier, Charles-Edouard; Monmarché, Pierre |
|
2020
|
Markov chains on metric spaces. A short course. Zbl 1514.60001
Benaïm, Michel; Hurth, Tobias |
|
2022
|
Convergence of adaptive biasing potential methods for diffusions.
(Convergence de méthodes de biaisage adaptatif du potentiel dans des processus de diffusion.) Zbl 1345.60085
Benaïm, Michel; Bréhier, Charles-Édouard |
|
2016
|
Erratum: Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1434.60191
Benaim, Michel; Leborgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2019
|
On self attracting/repelling diffusions. Zbl 1030.60075
Benaim, Michel; Raimond, Olivier |
|
2002
|
Untangling the role of temporal and spatial variations in persistence of populations. Zbl 07856077
Benaïm, Michel; Lobry, Claude; Sari, Tewfik; Strickler, Édouard |
|
2023
|
Transcritical bifurcation for the conditional distribution of a diffusion process. Zbl 1521.60040
Benaïm, Michel; Champagnat, Nicolas; Oçafrain, William; Villemonais, Denis |
|
2023
|
Untangling the role of temporal and spatial variations in persistence of populations. Zbl 07856077
Benaïm, Michel; Lobry, Claude; Sari, Tewfik; Strickler, Édouard |
|
2023
|
Stochastic persistence in degenerate stochastic Lotka-Volterra food chains. Zbl 1498.60323
Benaïm, Michel; Bourquin, Antoine; Nguyen, Dang H. |
|
2022
|
Markov chains on metric spaces. A short course. Zbl 1514.60001
Benaïm, Michel; Hurth, Tobias |
|
2022
|
Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain. Zbl 1472.60136
Benaïm, Michel; Champagnat, Nicolas; Villemonais, Denis |
|
2021
|
Analysis of an adaptive biasing force method based on self-interacting dynamics. Zbl 1459.60157
Benaïm, Michel; Bréhier, Charles-Edouard; Monmarché, Pierre |
|
2020
|
Random switching between vector fields having a common zero. Zbl 1437.60044
Benaïm, Michel; Strickler, Edouard |
|
2019
|
Persistence and extinction for stochastic ecological models with internal and external variables. Zbl 1417.92207
Benaïm, Michel; Schreiber, Sebastian J. |
|
2019
|
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard |
|
2019
|
Erratum: Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1434.60191
Benaim, Michel; Leborgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2019
|
Stochastic approximation of quasi-stationary distributions on compact spaces and applications. Zbl 06974754
Benaim, Michel; Cloez, Bertrand; Panloup, Fabien |
|
2018
|
A user-friendly condition for exponential ergodicity in randomly switched environments. Zbl 1397.60106
Benaïm, Michel; Hurth, Tobias; Strickler, Edouard |
|
2018
|
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories. Zbl 1379.60077
Benaïm, Michel; Bouguet, Florian; Cloez, Bertrand |
|
2017
|
Self-repelling diffusions on a Riemannian manifold. Zbl 1382.58028
Benaïm, Michel; Gauthier, Carl-Erik |
|
2017
|
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R. |
|
2017
|
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude |
|
2016
|
Convergence of adaptive biasing potential methods for diffusions.
(Convergence de méthodes de biaisage adaptatif du potentiel dans des processus de diffusion.) Zbl 1345.60085
Benaïm, Michel; Bréhier, Charles-Édouard |
|
2016
|
Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1325.60123
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2015
|
A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103
Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri |
|
2015
|
A stochastic approximation approach to quasi-stationary distributions on finite spaces. Zbl 1321.65009
Benaïm, Michel; Cloez, Bertrand |
|
2015
|
Self-repelling diffusions via an infinite dimensional approach. Zbl 1337.60185
Benaïm, Michel; Ciotir, Ioana; Gauthier, Carl-Erik |
|
2015
|
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi |
|
2015
|
On the stability of planar randomly switched systems. Zbl 1288.93090
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2014
|
Stochastic dynamics for systems biology. Zbl 1305.92009
Mazza, Christian; Benaïm, Michel |
|
2014
|
Strongly vertex-reinforced-random-walk on a complete graph. Zbl 1277.60169
Benaim, Michel; Raimond, Olivier; Schapira, Bruno |
|
2013
|
Consistency of vanishingly smooth fictitious play. Zbl 1297.91027
Benaïm, Michel; Faure, Mathieu |
|
2013
|
Quantitative ergodicity for some switched dynamical systems. Zbl 1347.60118
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André |
|
2012
|
Perturbations of set-valued dynamical systems, with applications to game theory. Zbl 1282.37021
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2012
|
Stochastic approximation, cooperative dynamics and supermodular games. Zbl 1429.62359
Benaïm, Michel; Faure, Mathieu |
|
2012
|
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S. |
|
2011
|
Dynamics of vertex-reinforced random walks. Zbl 1242.60044
Benaïm, Michel; Tarrès, Pierre |
|
2011
|
Self-interacting diffusions. IV: Rate of convergence. Zbl 1245.60089
Benaïm, Michel; Raimond, Olivier |
|
2011
|
A class of self-interacting processes with applications to games and reinforced random walks. Zbl 1252.60092
Benaïm, Michel; Raimond, Olivier |
|
2010
|
Persistence of structured populations in random environments. Zbl 1213.92057
Benaïm, Michel; Schreiber, Sebastian J. |
|
2009
|
Learning in games with unstable equilibria. Zbl 1175.91031
Benaïm, Michel; Hofbauer, Josef; Hopkins, Ed |
|
2009
|
Exponential concentration for first passage percolation through modified Poincaré inequalities. Zbl 1186.60102
Benaïm, Michel; Rossignol, Raphaël |
|
2008
|
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H. |
|
2008
|
Stochastic approximations and differential inclusions. II: Applications. Zbl 1284.62511
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2006
|
Stochastic approximations and differential inclusions. Zbl 1087.62091
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain |
|
2005
|
Self-interacting diffusions. III: Symmetric interactions. Zbl 1085.60073
Benaïm, Michel; Raimond, Olivier |
|
2005
|
Generalized urn models of evolutionary processes. Zbl 1051.60072
Benaïm, Michel; Schreiber, Sebastian J.; Tarrès, Pierre |
|
2004
|
Random walks.
(Promenade aléatoire. Chaînes de Markov et simulations, martingales et stratégies.) Zbl 1196.60001
Benaïm, Michel; El Karoui, Nicole |
|
2004
|
Deterministic approximation of stochastic evolution in games. Zbl 1152.91350
Benaïm, Michel; Weibull, Jörgen W. |
|
2003
|
Self-interacting diffusions. II: Convergence in law. Zbl 1064.60191
Benaïm, Michel; Raimond, Olivier |
|
2003
|
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard |
|
2003
|
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier |
|
2002
|
On self attracting/repelling diffusions. Zbl 1030.60075
Benaim, Michel; Raimond, Olivier |
|
2002
|
Metric properties of the group of area preserving diffeomorphisms. Zbl 0977.57039
Benaim, Michel; Gambaudo, Jean-Marc |
|
2001
|
Ergodic properties of weak asymptotic pseudotrajectories for semiflows. Zbl 0998.37013
Benaïm, Michel; Schreiber, Sebastian J. |
|
2000
|
Convergence with probability one of stochastic approximation algorithms whose average is cooperative. Zbl 0948.62062
Benaïm, Michel |
|
2000
|
Dynamics of stochastic approximation algorithms. Zbl 0955.62085
Benaïm, Michel |
|
1999
|
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W. |
|
1999
|
Recursive algorithms, urn processes and chaining number of chain recurrent sets. Zbl 0921.60061
Benaïm, Michel |
|
1998
|
Convergence of the one-dimensional Kohonen algorithm. Zbl 0980.62066
Benaïm, Michel; Fort, Jean-Claude; Pagès, Gilles |
|
1998
|
Vertex-reinforced random walks and a conjecture of Pemantle. Zbl 0873.60044
Benaïm, Michel |
|
1997
|
On invariant hypersurfaces of strongly monotone maps. Zbl 0889.58013
Benaïm, Michel |
|
1997
|
A dynamical system approach to stochastic approximations. Zbl 0841.62072
Benaim, Michel |
|
1996
|
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W. |
|
1996
|
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W. |
|
1995
|
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W. |
|
1995
|