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Benaïm, Michel

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Author ID: benaim.michel Recent zbMATH articles by "Benaïm, Michel"
Published as: Benaïm, Michel; Benaim, Michel; Benaïm, M.
Documents Indexed: 67 Publications since 1993, including 2 Books

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 785 times in 493 Documents Cited by Year
Deterministic approximation of stochastic evolution in games. Zbl 1152.91350
Benaïm, Michel; Weibull, Jörgen W.
72
2003
Dynamics of stochastic approximation algorithms. Zbl 0955.62085
Benaïm, Michel
70
1999
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
59
2011
Stochastic approximations and differential inclusions. Zbl 1087.62091
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
53
2005
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W.
41
1999
A dynamical system approach to stochastic approximations. Zbl 0841.62072
Benaim, Michel
39
1996
Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1325.60123
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
37
2015
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W.
32
1996
Quantitative ergodicity for some switched dynamical systems. Zbl 1347.60118
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
28
2012
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude
28
2016
Persistence of structured populations in random environments. Zbl 1213.92057
Benaïm, Michel; Schreiber, Sebastian J.
27
2009
Stochastic approximations and differential inclusions. II: Applications. Zbl 1284.62511
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
24
2006
Exponential concentration for first passage percolation through modified Poincaré inequalities. Zbl 1186.60102
Benaïm, Michel; Rossignol, Raphaël
21
2008
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
19
2002
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H.
17
2008
Learning in games with unstable equilibria. Zbl 1175.91031
Benaïm, Michel; Hofbauer, Josef; Hopkins, Ed
16
2009
Recursive algorithms, urn processes and chaining number of chain recurrent sets. Zbl 0921.60061
Benaïm, Michel
15
1998
Vertex-reinforced random walks and a conjecture of Pemantle. Zbl 0873.60044
Benaïm, Michel
14
1997
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W.
12
1999
On the stability of planar randomly switched systems. Zbl 1288.93090
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
10
2014
Generalized urn models of evolutionary processes. Zbl 1051.60072
Benaïm, Michel; Schreiber, Sebastian J.; Tarrès, Pierre
10
2004
Self-interacting diffusions. III: Symmetric interactions. Zbl 1085.60073
Benaïm, Michel; Raimond, Olivier
9
2005
A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103
Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri
8
2015
Random switching between vector fields having a common zero. Zbl 1437.60044
Benaïm, Michel; Strickler, Edouard
8
2019
Stochastic approximation of quasi-stationary distributions on compact spaces and applications. Zbl 06974754
Benaim, Michel; Cloez, Bertrand; Panloup, Fabien
8
2018
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W.
8
1995
On invariant hypersurfaces of strongly monotone maps. Zbl 0889.58013
Benaïm, Michel
8
1997
Persistence and extinction for stochastic ecological models with internal and external variables. Zbl 1417.92207
Benaïm, Michel; Schreiber, Sebastian J.
8
2019
A stochastic approximation approach to quasi-stationary distributions on finite spaces. Zbl 1321.65009
Benaïm, Michel; Cloez, Bertrand
7
2015
Self-interacting diffusions. II: Convergence in law. Zbl 1064.60191
Benaïm, Michel; Raimond, Olivier
7
2003
Metric properties of the group of area preserving diffeomorphisms. Zbl 0977.57039
Benaim, Michel; Gambaudo, Jean-Marc
7
2001
Convergence of the one-dimensional Kohonen algorithm. Zbl 0980.62066
Benaïm, Michel; Fort, Jean-Claude; Pagès, Gilles
6
1998
Dynamics of vertex-reinforced random walks. Zbl 1242.60044
Benaïm, Michel; Tarrès, Pierre
5
2011
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R.
5
2017
Ergodic properties of weak asymptotic pseudotrajectories for semiflows. Zbl 0998.37013
Benaïm, Michel; Schreiber, Sebastian J.
5
2000
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories. Zbl 1379.60077
Benaïm, Michel; Bouguet, Florian; Cloez, Bertrand
5
2017
Strongly vertex-reinforced-random-walk on a complete graph. Zbl 1277.60169
Benaim, Michel; Raimond, Olivier; Schapira, Bruno
4
2013
Consistency of vanishingly smooth fictitious play. Zbl 1297.91027
Benaïm, Michel; Faure, Mathieu
4
2013
Stochastic approximation, cooperative dynamics and supermodular games. Zbl 1429.62359
Benaïm, Michel; Faure, Mathieu
3
2012
Perturbations of set-valued dynamical systems, with applications to game theory. Zbl 1282.37021
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
2
2012
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W.
2
1999
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W.
2
1995
A user-friendly condition for exponential ergodicity in randomly switched environments. Zbl 1397.60106
Benaïm, Michel; Hurth, Tobias; Strickler, Edouard
2
2018
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard
2
2003
Convergence with probability one of stochastic approximation algorithms whose average is cooperative. Zbl 0948.62062
Benaïm, Michel
2
2000
Self-repelling diffusions via an infinite dimensional approach. Zbl 1337.60185
Benaïm, Michel; Ciotir, Ioana; Gauthier, Carl-Erik
2
2015
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi
2
2015
A class of self-interacting processes with applications to games and reinforced random walks. Zbl 1252.60092
Benaïm, Michel; Raimond, Olivier
2
2010
Random walks. (Promenade aléatoire. Chaînes de Markov et simulations, martingales et stratégies.) Zbl 1196.60001
Benaïm, Michel; El Karoui, Nicole
2
2004
Self-interacting diffusions. IV: Rate of convergence. Zbl 1245.60089
Benaïm, Michel; Raimond, Olivier
1
2011
Stochastic dynamics for systems biology. Zbl 1305.92009
Mazza, Christian; Benaïm, Michel
1
2014
Self-repelling diffusions on a Riemannian manifold. Zbl 1382.58028
Benaïm, Michel; Gauthier, Carl-Erik
1
2017
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
1
2016
On self attracting/repelling diffusions. Zbl 1030.60075
Benaim, Michel; Raimond, Olivier
1
2002
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard
1
2019
Random switching between vector fields having a common zero. Zbl 1437.60044
Benaïm, Michel; Strickler, Edouard
8
2019
Persistence and extinction for stochastic ecological models with internal and external variables. Zbl 1417.92207
Benaïm, Michel; Schreiber, Sebastian J.
8
2019
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard
1
2019
Stochastic approximation of quasi-stationary distributions on compact spaces and applications. Zbl 06974754
Benaim, Michel; Cloez, Bertrand; Panloup, Fabien
8
2018
A user-friendly condition for exponential ergodicity in randomly switched environments. Zbl 1397.60106
Benaïm, Michel; Hurth, Tobias; Strickler, Edouard
2
2018
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R.
5
2017
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories. Zbl 1379.60077
Benaïm, Michel; Bouguet, Florian; Cloez, Bertrand
5
2017
Self-repelling diffusions on a Riemannian manifold. Zbl 1382.58028
Benaïm, Michel; Gauthier, Carl-Erik
1
2017
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude
28
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
1
2016
Qualitative properties of certain piecewise deterministic Markov processes. Zbl 1325.60123
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
37
2015
A generalized Pólya’s urn with graph based interactions. Zbl 1317.05103
Benaïm, Michel; Benjamini, Itai; Chen, Jun; Lima, Yuri
8
2015
A stochastic approximation approach to quasi-stationary distributions on finite spaces. Zbl 1321.65009
Benaïm, Michel; Cloez, Bertrand
7
2015
Self-repelling diffusions via an infinite dimensional approach. Zbl 1337.60185
Benaïm, Michel; Ciotir, Ioana; Gauthier, Carl-Erik
2
2015
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi
2
2015
On the stability of planar randomly switched systems. Zbl 1288.93090
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
10
2014
Stochastic dynamics for systems biology. Zbl 1305.92009
Mazza, Christian; Benaïm, Michel
1
2014
Strongly vertex-reinforced-random-walk on a complete graph. Zbl 1277.60169
Benaim, Michel; Raimond, Olivier; Schapira, Bruno
4
2013
Consistency of vanishingly smooth fictitious play. Zbl 1297.91027
Benaïm, Michel; Faure, Mathieu
4
2013
Quantitative ergodicity for some switched dynamical systems. Zbl 1347.60118
Benaïm, Michel; Le Borgne, Stéphane; Malrieu, Florent; Zitt, Pierre-André
28
2012
Stochastic approximation, cooperative dynamics and supermodular games. Zbl 1429.62359
Benaïm, Michel; Faure, Mathieu
3
2012
Perturbations of set-valued dynamical systems, with applications to game theory. Zbl 1282.37021
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
2
2012
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
59
2011
Dynamics of vertex-reinforced random walks. Zbl 1242.60044
Benaïm, Michel; Tarrès, Pierre
5
2011
Self-interacting diffusions. IV: Rate of convergence. Zbl 1245.60089
Benaïm, Michel; Raimond, Olivier
1
2011
A class of self-interacting processes with applications to games and reinforced random walks. Zbl 1252.60092
Benaïm, Michel; Raimond, Olivier
2
2010
Persistence of structured populations in random environments. Zbl 1213.92057
Benaïm, Michel; Schreiber, Sebastian J.
27
2009
Learning in games with unstable equilibria. Zbl 1175.91031
Benaïm, Michel; Hofbauer, Josef; Hopkins, Ed
16
2009
Exponential concentration for first passage percolation through modified Poincaré inequalities. Zbl 1186.60102
Benaïm, Michel; Rossignol, Raphaël
21
2008
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H.
17
2008
Stochastic approximations and differential inclusions. II: Applications. Zbl 1284.62511
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
24
2006
Stochastic approximations and differential inclusions. Zbl 1087.62091
Benaïm, Michel; Hofbauer, Josef; Sorin, Sylvain
53
2005
Self-interacting diffusions. III: Symmetric interactions. Zbl 1085.60073
Benaïm, Michel; Raimond, Olivier
9
2005
Generalized urn models of evolutionary processes. Zbl 1051.60072
Benaïm, Michel; Schreiber, Sebastian J.; Tarrès, Pierre
10
2004
Random walks. (Promenade aléatoire. Chaînes de Markov et simulations, martingales et stratégies.) Zbl 1196.60001
Benaïm, Michel; El Karoui, Nicole
2
2004
Deterministic approximation of stochastic evolution in games. Zbl 1152.91350
Benaïm, Michel; Weibull, Jörgen W.
72
2003
Self-interacting diffusions. II: Convergence in law. Zbl 1064.60191
Benaïm, Michel; Raimond, Olivier
7
2003
A two armed bandit type problem. Zbl 1101.91306
Benaïm, Michel; Ben Arous, Gerard
2
2003
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
19
2002
On self attracting/repelling diffusions. Zbl 1030.60075
Benaim, Michel; Raimond, Olivier
1
2002
Metric properties of the group of area preserving diffeomorphisms. Zbl 0977.57039
Benaim, Michel; Gambaudo, Jean-Marc
7
2001
Ergodic properties of weak asymptotic pseudotrajectories for semiflows. Zbl 0998.37013
Benaïm, Michel; Schreiber, Sebastian J.
5
2000
Convergence with probability one of stochastic approximation algorithms whose average is cooperative. Zbl 0948.62062
Benaïm, Michel
2
2000
Dynamics of stochastic approximation algorithms. Zbl 0955.62085
Benaïm, Michel
70
1999
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W.
41
1999
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W.
12
1999
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W.
2
1999
Recursive algorithms, urn processes and chaining number of chain recurrent sets. Zbl 0921.60061
Benaïm, Michel
15
1998
Convergence of the one-dimensional Kohonen algorithm. Zbl 0980.62066
Benaïm, Michel; Fort, Jean-Claude; Pagès, Gilles
6
1998
Vertex-reinforced random walks and a conjecture of Pemantle. Zbl 0873.60044
Benaïm, Michel
14
1997
On invariant hypersurfaces of strongly monotone maps. Zbl 0889.58013
Benaïm, Michel
8
1997
A dynamical system approach to stochastic approximations. Zbl 0841.62072
Benaim, Michel
39
1996
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W.
32
1996
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W.
8
1995
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W.
2
1995
all top 5

Cited by 623 Authors

24 Benaïm, Michel
18 Sandholm, William Howard
16 Schreiber, Sebastian J.
15 Borkar, Vivek Shripad
15 Hening, Alexandru
13 Nguyen, Dang Hai
12 Flåm, Sjur Didrik
10 Hofbauer, Josef
9 Fudenberg, Drew
9 Mertikopoulos, Panayotis
9 Yin, George Gang
8 Tarrès, Pierre
7 Mierczyński, Janusz
6 Hopkins, Ed
6 Leslie, David S.
6 Liu, Meng
6 Shao, Jinghai
5 Cloez, Bertrand
5 Czapla, Dawid
5 Damron, Michael
5 Faure, Mathieu
5 Hirsch, Morris W.
5 Horbacz, Katarzyna
5 Imhof, Lorens A.
5 Löcherbach, Eva
5 Pagès, Gilles
5 Skyrms, Brian
5 Strickler, Edouard
5 Volkov, Stanislav
4 Aletti, Giacomo
4 Bauso, Dario
4 Bianchi, Pascal
4 Brandenbursky, Michael
4 Chesson, Peter L.
4 Ghiglietti, Andrea
4 Hurth, Tobias
4 Izquierdo, Luis R.
4 Izquierdo, Segismundo S.
4 Jiang, Jifa
4 Kurtzmann, Aline
4 Lawley, Sean D.
4 Malrieu, Florent
4 Nguyen, Nhu N.
4 Raimond, Olivier
4 Sorin, Sylvain
4 Staudigl, Mathias
4 Wojewódka-Ściążko, Hanna
3 Aydogmus, Ozgur
3 Bai, Chuanzhi
3 Bakhtin, Yuri Yu.
3 Beggs, Alan W.
3 Bhatnagar, Shalabh
3 Chatterjee, Sourav
3 Chen, Lifeng
3 Cominetti, Roberto
3 Crimaldi, Irene
3 Dong, Zhao
3 Gadat, Sébastien
3 Gauthier, Carl-Erik
3 Gleich, David F.
3 Goreac, Dan
3 Hachem, Walid
3 Hu, Feifang
3 Kar, Soummya
3 Krishnamurthy, Vikram
3 Lahkar, Ratul
3 Levine, David K.
3 Li, Dan
3 López-Pintado, Dunia
3 Mattingly, Jonathan Christopher
3 Menshikov, Mikhail V.
3 Norman, Thomas W. L.
3 Panloup, Fabien
3 Pemantle, Robin
3 Perkins, Steven
3 Roberts, Gareth O.
3 Roth, Gregory
3 Shah, Suhail Mohmad
3 Shamma, Jeff S.
3 Stump, Simon Maccracken
3 Swenson, Brian
3 Tran, Ky Quan
3 Villemonais, Denis
3 Wang, Yi
2 Ahmad, Bashir
2 Alós-Ferrer, Carlos
2 Barakat, Anas
2 Barraquand, Frédéric
2 Benson, Austin R.
2 Berger, Ulrich
2 Bervoets, Sebastian
2 Bortolussi, Luca
2 Bouguet, Florian
2 Bravo, Mario
2 Bréhier, Charles-Edouard
2 Chalub, Fabio A. C. C.
2 Champagnat, Nicolas
2 Cheung, Siu Hung
2 Collins, Edmund J.
2 Colonius, Fritz
...and 523 more Authors
all top 5

Cited in 149 Serials

36 Games and Economic Behavior
30 Journal of Mathematical Biology
25 Journal of Economic Theory
20 The Annals of Applied Probability
15 Stochastic Processes and their Applications
14 The Annals of Probability
11 SIAM Journal on Control and Optimization
11 Theoretical Population Biology
10 Journal of Theoretical Biology
10 Journal of Dynamics and Games
9 Dynamic Games and Applications
8 Journal of Differential Equations
8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Journal of Statistical Physics
7 SIAM Journal on Optimization
7 Bernoulli
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Automatica
6 Journal of Mathematical Economics
5 Journal of Mathematical Analysis and Applications
5 Mathematical Biosciences
5 Mathematics of Operations Research
5 Probability Theory and Related Fields
5 Journal of Economic Dynamics & Control
5 Electronic Journal of Probability
5 International Game Theory Review
5 Discrete and Continuous Dynamical Systems. Series B
5 Stochastics and Dynamics
4 Journal of Applied Probability
4 Journal of Optimization Theory and Applications
4 Systems & Control Letters
4 Advances in Difference Equations
4 Stochastic Systems
3 Nonlinearity
3 The Annals of Statistics
3 Applied Mathematics and Computation
3 International Journal of Game Theory
3 Mathematical Social Sciences
3 Stochastic Analysis and Applications
3 Journal of Theoretical Probability
3 Annals of Operations Research
3 Mathematical Programming. Series A. Series B
3 Journal of Nonlinear Science
3 Economic Theory
3 Discrete and Continuous Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Biological Dynamics
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Electronic Journal of Statistics
3 Science China. Mathematics
2 Advances in Applied Probability
2 Bulletin of Mathematical Biology
2 Applied Mathematics and Optimization
2 Proceedings of the American Mathematical Society
2 Statistics & Probability Letters
2 Information and Computation
2 SIAM Journal on Matrix Analysis and Applications
2 Neural Networks
2 Proceedings of the National Academy of Sciences of the United States of America
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 Journal of Dynamics and Differential Equations
2 Computational Economics
2 Journal of Difference Equations and Applications
2 Electronic Communications in Probability
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Acta Mathematica Sinica. English Series
2 Journal of Machine Learning Research (JMLR)
2 Mathematical Biosciences and Engineering
2 Nonlinear Analysis. Hybrid Systems
2 Games
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Artificial Intelligence
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Physica A
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studia Logica
1 Theoretical Computer Science
1 Theory and Decision
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Physica D
1 Optimization
1 Applied Mathematics Letters
1 Queueing Systems
1 Machine Learning
1 Random Structures & Algorithms
1 Neural Computation
1 Economics Letters
1 Discrete Event Dynamic Systems
...and 49 more Serials

Citations by Year