J. P. Aubin and A. Cellina, Differential Inclusions: Set-Valued Maps and Viability Theory, 1984.

R. J. Aumann, Integrals of set-valued functions, Journal of Mathematical Analysis and Applications, vol.12, issue.1, pp.1-12, 1965.
DOI : 10.1016/0022-247X(65)90049-1

M. Benaim, A Dynamical System Approach to Stochastic Approximations, SIAM Journal on Control and Optimization, vol.34, issue.2, p.437, 1996.
DOI : 10.1137/S0363012993253534

M. Bena¨?mbena¨?m, Dynamics of stochastic approximation algorithms, pp.1-68, 1999.

M. Bena¨?mbena¨?m and M. W. Hirsch, Asymptotic pseudotrajectories and chain recurrent flows, with applications, Journal of Dynamics and Differential Equations, vol.24, issue.1, pp.141-176, 1996.
DOI : 10.1007/BF02218617

M. Benaim, J. Hofbauer, and S. Sorin, Stochastic Approximations and Differential Inclusions, SIAM Journal on Control and Optimization, vol.44, issue.1, pp.328-348, 2005.
DOI : 10.1137/S0363012904439301

URL : https://hal.archives-ouvertes.fr/hal-00242990

M. Bena?m, J. Hofbauer, and S. Sorin, Stochastic Approximations and Differential Inclusions, SIAM Journal on Control and Optimization, vol.44, issue.1, pp.673-695, 2006.
DOI : 10.1137/S0363012904439301

M. Benaim and O. Raimond, A class of non homogeneous self interacting random processes with applications to learning in games and vertex-reinforced random walks. arxiv, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00284649

R. Bowen, ??-Limit sets for Axiom A diffeomorphisms, Journal of Differential Equations, vol.18, issue.2, pp.333-339, 1975.
DOI : 10.1016/0022-0396(75)90065-0

C. C. Conley, Isolated Invariant Sets and the Morse Index, 1978.
DOI : 10.1090/cbms/038

M. Duflo, Algorithmes stochastiques, 1996.

N. Dunford and J. T. Schwartz, Linear operators. Part 1: General theory, 1958.

D. Fudenberg and D. Kreps, Learning Mixed Equilibria, Games and Economic Behavior, vol.5, issue.3, pp.320-367, 1993.
DOI : 10.1006/game.1993.1021

D. Fudenberg and D. K. Levine, The Theory of Learning in Games, 1998.

J. Kiefer and J. Wolfowitz, Stochastic Estimation of the Maximum of a Regression Function, The Annals of Mathematical Statistics, vol.23, issue.3, pp.462-466, 1952.
DOI : 10.1214/aoms/1177729392

E. Kohlberg and J. Mertens, On the Strategic Stability of Equilibria, Econometrica, vol.54, issue.5, pp.1003-1037, 1986.
DOI : 10.2307/1912320

H. J. Kushner and D. S. Clark, Stochastic Approximation Methods for Constrained and Unconstrained Systems, 1978.
DOI : 10.1007/978-1-4684-9352-8

H. J. Kushner and G. Yin, Stochastic Approximation and Recursive Algorithms and Applications, 2003.

L. Ljung, Analysis of recursive stochastic algorithms Automatic Control, IEEE Transactions on, vol.22, issue.4, pp.551-575, 1977.

H. Robbins and S. Monro, A Stochastic Approximation Method. The Annals of Mathematical Statistics, pp.400-407, 1951.

R. Tyrrell-rockafellar, Convex analysis. Princeton Landmarks in Mathematics, 1997.