M. Benaïm

发表

Dynamics of stochastic approximation algorithms

M. Benaïm, 1999 .

Deterministic Approximation of Stochastic Evolution in Games

M. Benaïm, J. Weibull, Carlos Alós-Ferrer, 2003 .

Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games

M. Hirsch, M. Benaïm, 1999 .

Ergodic Properties of Weak Asymptotic Pseudotrajectories for Semiflows

M. Benaïm, S. Schreiber, 2000 .

Recursive algorithms, urn processes and chaining number of chain recurrent sets

M. Benaïm, 1998, Ergodic Theory and Dynamical Systems.

A Dynamical System Approach to Stochastic Approximations

M. Benaïm, 1996 .

Asymptotic pseudotrajectories and chain recurrent flows, with applications

M. Hirsch, M. Benaïm, 1996 .

Dynamics of Morse-Smale urn processes

M. Hirsch, M. Benaïm, 1995, Ergodic Theory and Dynamical Systems.

A class of mean field interaction models for computer and communication systems

J. Boudec, M. Benaïm, 2008, Perform. Evaluation.

Stochastic approximation algorithms with constant step size whose average is cooperative

M. Hirsch, M. Benaïm, 1999 .

Vertex-reinforced random walks and a conjecture of Pemantle

M. Benaïm, 1997 .

Stochastic Approximations and Differential Inclusions

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2005, SIAM J. Control. Optim..

A class of mean field interaction models for computer and communication systems

Jean-Yves Le Boudec, Michel Benaïm, J. Boudec, 2008, Perform. Evaluation.

Standardization in Decentralized Economies

M. Benaïm, E. Auriol, 2000 .

Persistence and extinction for stochastic ecological models with internal and external variables

M. Benaïm, S. Schreiber, 2018, Journal of Mathematical Biology.

Convergence with probability one of stochastic approximation algorithms whose average is cooperative

M. Benaïm, 2000 .

Self-interacting diffusions. III. Symmetric interactions

M. Benaïm, Olivier Raimond, 2005 .

with respect to the “ Lebesgue ” measure on

M. Benaïm, F. Malrieu, P. Zitt, 2018 .

Stochastic Persistence.

M. Benaïm, 2018 .

SUPPORTS OF INVARIANT MEASURES FOR PIECEWISE DETERMINISTIC MARKOV PROCESSES

M. Benaïm, 2016 .

Mean-field approximation of stochastic population processes in games

M. Benaïm, J. Weibull, 2009 .

CONVERGENCE OF THE ONE-DIMENSIONAL

M. Benaïm, J. Fort, Kohonen Algorithm, 1998 .

A generalized Pólya's urn with graph based interactions

Jun Chen, Itai Benjamini, Michel Benaïm, 2012, Random Struct. Algorithms.

Submitted to the Annals of Applied Probability ON THE STABILITY OF PLANAR RANDOMLY SWITCHED SYSTEMS By

M. Benaïm, St'ephane Le Borgne, 2012 .

Emergence of Complexity in the Dynamic of a Diluted Neural Network

M. Benaïm, M. Samuelides, 1990 .

Self-repelling diffusions on a Riemannian manifold

M. Benaïm, Carl-Erik Gauthier, 2016, Probability Theory and Related Fields.

Stochastic Approximations and Differential Inclusions II: Applications

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2005 .

Persistence of structured populations in random environments.

Michel Benaïm, Sebastian J Schreiber, M. Benaïm, 2009, Theoretical population biology.

Persistence in fluctuating environments

Sebastian J. Schreiber, Michel Benaïm, M. Benaïm, 2010, Journal of mathematical biology.

On Functional Approximation with Normalized Gaussian Units

Michel Benaïm, M. Benaïm, 1994, Neural Comput..

Robust permanence and impermanence for stochastic replicator dynamics

Josef Hofbauer, Michel Benaïm, M. Benaïm, 2008, Journal of biological dynamics.

Self-repelling diffusions via an infinite dimensional approach

M. Benaïm, Ioana Ciotir, Carl-Erik Gauthier, 2014, 1408.6397.

Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2012, Dyn. Games Appl..

Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory

M. Benaïm, J. Hofbauer, S. Sorin, 2012, Dynamic Games and Applications.

Convergence and Oscillation in Standardization Games

M. Benaïm, E. Auriol, 2001 .

A generalized Pólya's urn with graph based interactions

M. Benaïm, I. Benjamini, Yuri Lima, 2012, Random Struct. Algorithms.

Stochastic Dynamics for Systems Biology

Christian Mazza, Michel Benaïm, M. Benaïm, 2014 .

Consistency of Vanishingly Smooth Fictitious Play

Michel Benaïm, Mathieu Faure, M. Benaïm, 2011, Math. Oper. Res..

A Class of Self-Interacting Processes with Applications to Games and Reinforced Random Walks

Michel Benaïm, Olivier Raimond, M. Benaïm, 2010, SIAM J. Control. Optim..

Simulated Annealing, Vertex-Reinforced Random Walks and Learning in Games

Michel Benaïm, Olivier Raimond, M. Benaïm, 2007 .

Stochastic Persistence ∗ ( Part I )

M. Benaïm, 2018 .

Convergence of the one-dimensional Kohonen algorithm

Gilles Pagès, Michel Benaïm, Jean-Claude Fort, 1998, Advances in Applied Probability.

On Invariant Hypersurfaces of Strongly Monotone Maps

M. Benaïm, 1997 .

The "off line learning approximation" in continuous time neural networks: An adiabatic theorem

Michel Benaïm, M. Benaïm, 1993, Neural Networks.

Learning in games with unstable equilibria

Josef Hofbauer, Michel Benaïm, Ed Hopkins, 2005, J. Econ. Theory.

Discussion Paper Series Number 135 Learning in Games with Unstable Equilibria

M. Benaïm, J. Hofbauer, 2015 .

Explorer Learning in Games with Unstable Equilibria

M. Benaïm, J. Hofbauer, 2008 .

On Gradient Like Properties of Population Games, Learning Models and Self Reinforced Processes

Michel Benaïm, M. Benaïm, 2015 .

Supports of invariant measures for piecewise deterministic Markov processes

Fritz Colonius, Michel Benaim, M. Benaïm, 2016, 1604.06219.

Stochastic Approximations and Differential Inclusions, Part II: Applications

Josef Hofbauer, Sylvain Sorin, Michel Benaïm, 2006, Math. Oper. Res..

Persistence and extinction for stochastic ecological models with internal and external variables

M. Benaïm, S. Schreiber, 2018, Journal of mathematical biology.

Markov Chains on Metric Spaces

M. Benaïm, T. Hurth, 2022, Universitext.

Original Contribution: The “off line learning approximation” in continuous time neural networks: An adiabatic theorem

M. Benaïm, 1993 .

Lotka Volterra in fluctuating environment or "how good can be bad"

M. Benaïm, C. Lobry, 2015 .

A class of mean field interaction models for computer and communication systems

M. Benaïm, M. Benaim, J. Le Boudec, 2008, 2008 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops.

On Mean Field Convergence and Stationary Regime pdf

Jean-Yves Le Boudec, Michel Benaïm, M. Benaïm, 2011, ArXiv.

Robust permanence and impermanence for stochastic replicator dynamics

William H. Sandholm, M. Benaïm, J. Hofbauer, 2008, Journal of biological dynamics.

Persistence and extinction for stochastic ecological difference equations with feedbacks

M. Benaïm, S. Schreiber, 2018 .