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Publications

Titre  
 
Livres
Mazza, C. ., & Benaim, M. (2014). Stochastic Dynamics for Systems Biology. Bocca Raton: Chapman and Hall/CRC.
   
Benaim, M., & El Karoui, N. (2004). Promenade aléatoire: Editions de l'école polytechnique.
   
Articles de périodiques
Benaim, M., Benjamini, I., Chen, J., & Lima, Y. (2015). A generalised Pólya?s urn with graph-based interactions. Random Structures and Algorithms (to appear).
   
Benaim, M., & Mathieu, F. (2013). Consistency of vanishingly smooth fictitious play. Mathematics of Operations Research, 38(3), 437-450.
   
Benaim, M., Raimond, O., & Schapira, B. (2012). Strongly reinforced vertex-reinforced-random-walk on the complete graph. arXiv preprint arXiv:1208.6375.
   
Benaim, M., Le Borgne, S., Malrieu, F., & Zitt, P. A. (2012). Quantitative ergodicity for some switched dynamical systems. Electronic Communications in Probability, 17(56), 1-14.
   
Benaim, M., & Mathieu, F. (2012). Stochastic approximation, cooperative dynamics and supermodular games. The Annals of Applied Probability, 22(5), 2133-2164.
   
Benaim, M., Le Borgne, S., Malrieu, F., & Zitt, P. A. (2012). On the stability of planar randomly switched systems. ArXiv e-prints, to appear to the Annals of Applied Probability.
   
Benaim, M., Hofbauer, J., & Sorin, S. (2012). Perturbations of Set-Valued Dynamical Systems, with Applications to Game Theory. Dynamic Games and Applications, 2(2), 195-205.
   
Benaim, M., Borgne, S. L., Malrieu, F., & Zitt, P. A. (2012). Qualitative properties of certain piecewise deterministic Markov processes. arXiv preprint arXiv:1204.4143.
   
Benaim, M., & Raimond, O. (2011). Self-interacting diffusions IV: Rate of convergence. Electronic Journal of Probability, 16, 1815-1843.
   
Benaim, M., & Raimond, O. (2010). A class of self-interacting processes with applications to games and reinforced random walks. SIAM Journal on Control and Optimization, 48(7), 4707-4730.
   
Benaim, M., Hofbauer, J., & Hopkins, E. (2009). Learning in games with unstable equilibria. Journal of Economic Theory, 144(4), 1694-1709.
   
Benaim, M., & Schreiber, S. J. (2009). Persistence of structured populations in random environments. Theoretical Population Biology, 76(1), 19-34.
   
Benaim, M., Hofbauer, J., & Sandholm, W. H. (2008). Robust permanence and impermanence for stochastic replicator dynamics. Journal of biological dynamics, 2(2), 180-195.
   
Benaim, M., & Tarres, P. (2008). Dynamics of Vertex-Reinforced Random Walks. Preprint. http://arxiv. org/abs/0809.2739.
   
Benaim, M., & Rossignol, R. (2008). Exponential concentration for first passage percolation through modified Poincare inequalities. Annales De L Institut Henri Poincare-Probabilites Et Statistiques, 44(3), 544-573.
   
Benaim, M., & Le Boudec, J. Y. (2008). A class of mean field interaction models for computer and communication systems. Performance Evaluation, 65(11-12), 823-838.
   
Benaim, M., & Rossignol, R. (2006). A modified Poincare inequality and its application to first passage percolation. Arxiv preprint math/0602496.
   
Benaim, M., Hofbauer, J., & Sorin, S. (2006). Stochastic approximations and differential inclusions, part II: Applications. Mathematics of Operations Research, 31(4), 673-695.
   
Benaim, M. (2006). Un joli problème d'Erdös. Images du CNRS.
   
Benaim, M., & Raimond, O. (2005). Self-interacting diffusions. III. Symmetric interactions. Annals of Probability, 33(5), 1716-1759.
   
Benaim, M., Hofbauer, J., & Sorin, S. (2005). Stochastic approximations and differential inclusions. Siam Journal on Control and Optimization, 44(1), 328-348.
   
Benaim, M., Schreiber, S., & Tarres, P. (2004). Generalized urn models of evolutionary processes. Annals of Applied Probability, 14(3), 1455-1478.
   
Benaim, M., & Weibull, J. W. (2003). Deterministic approximation of stochastic evolution in games. Econometrica, 71(3), 873-903.
   
Benaim, M., & Raimond, O. (2003). Self-interacting diffusions II: Convergence in law. Annales De L Institut Henri Poincare-Probabilites Et Statistiques, 39(6), 1043-1055.
   
Benaim, M., & Ben Arous, G. (2003). A two armed bandit type problem. International Journal of Game Theory, 32(1), 3-16.
   
Benaim, M., Ledoux, M., & Raimond, O. (2002). Self-interacting diffusions. Probability Theory and Related Fields, 122(1), 1-41.
   
Benaim, M., & Raimond, O. (2002). Diffusions auto attractives/repulsives. Comptes Rendus Mathematique, 335(6), 541-544.
   
Auriol, E., & Benaim, M. (2001). Convergence and oscillation in standardization games. European Journal of Economic and Social Systems, 15(1), 39-55.
   
Benaim, M., & Gambaudo, J. M. (2001). Metric properties of the group of area preserving diffeomorphisms. Transactions of the American Mathematical Society, 353(11), 4661-4672.
   
Benaim, M., & Schreiber, S. J. (2000). Weak asymptotic pseudotrajectories for semiflows: ergodic properties. Journal of Dynamics and Differential Equations, 12(3).
   
Auriol, E., & Benaim, M. (2000). Standardization in decentralized economies. American Economic Review, 90(3), 550-570.
   
Benaim, M. (2000). Convergence with probability one of stochastic approximation algorithms whose average is cooperative. Nonlinearity, 13(3), 601-616.
   
Benaim, M., & Hirsch, M. W. (1999). Stochastic approximation algorithms with constant step size whose average is cooperative. Annals of Applied Probability, 9(1), 216-241.
   
Benaim, M., & Hirsch, M. W. (1999). Differential and Stochastic Epidemic Models. The Fields Institute Communications, 21.
   
Benaim, M., & Hirsch, M. W. (1999). Learning Processes, Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games. Games and Economic Behaviour, 29, 36-72.
   
Benaim, M. (1999). Dynamics of stochastic approximation algorithms. Seminaire de probabilites XXXIII. Berlin: Springer. Lect. Notes Math, 1709, 1-68.
   
Benaim, M. (1998). Recursive algorithms, urn processes and chaining number of chain recurrent sets. Ergodic Theory and Dynamical Systems, 18, 53-87.
   
Benaim, M., Fort, J. C., & Pages, G. (1998). Almost sure convergence of the one-dimensional Kohonen algorithm. Advances in applied probability, 30, 850-869.
   
Benaim, M. (1997). Vertex-reinforced random walks and a conjecture of pemantle. Annals of Probability, 25(1), 361-392.
   
Benaim, M. (1997). On invariant hypersurfaces of strongly monotone maps. Journal of Differential Equations, 137(2), 302-319.
   
Benaim, M., & Hirsch, M. W. (1996). Asymptotic Pseudo-Trajectories and Chain-recurrent flows, with Applications. Journal of Dynamics and Differential Equations, 8(1), 141-174.
   
Benaim, M. (1996). A dynamical system approach to stochastic approximations. Siam Journal on Control and Optimization, 34(2), 437-472.
   
Benaim, M., & Hirsch, M. W. (1995). Dynamics of Morse-Smale urn processes. Ergodic Theory and Dynamical Systems, 15, 1005-1030.
   
Benaim, M., & Hirsch, M. W. (1995). Chain recurrence in surface flows. Discrete and Continuous Dynamic Systems, 1(1), 1-16.
   
Benaim, M., & Raimond, O. Simulated Annealing, Vertex-Reinforced Random Walks and Learning in Games. .
   
Actes de congrès
Benaim, M., & Raimond, O. (2008). A Bakry-Emery Criterion for self-interacting diffusions. Paper presented at Seminar on Stochastic Analysis, Random Fields and Applications V.
   
Benaim, M., & Raimond, O. (2005). A Bakry-Emery criterion for self-interacting diffusions. Paper presented at 5th Seminar on Stochastic Analysis, Random Fields and Applications, Ascona, SWITZERLAND.
   
 
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