, Lions. On ergodic stochastic control. Comm. Partial Differential Equations, vol.23, pp.2187-2217, 1998.
On unique ergodicity for degenerate diffusions, Stochastics, vol.21, issue.1, pp.41-61, 1987. ,
On Bellman equations of ergodic control in R n, J. Reine Angew. Math, vol.429, pp.125-160, 1992. ,
, Applications des inéquations variationnelles en contrôle stochastique. Dunod, Paris, 1978. Méthodes Mathématiques de l'Informatique
Asymptotic analysis for periodic structures, Studies in Mathematics and its Applications, vol.5, 1978. ,
On the existence of Lyapunov functions for a stationary Kolmogorov equation with a probabilistic solution, Dokl. Akad. Nauk, vol.457, issue.2, pp.136-140, 2014. ,
Principe du maximum, inégalite de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés, Ann. Inst. Fourier (Grenoble), vol.19, issue.1, pp.277-304, 1969. ,
Interior a priori estimates for solutions of fully nonlinear equations, Ann. of Math, vol.130, issue.2, pp.189-213, 1989. ,
Fully nonlinear elliptic equations, vol.43, 1995. ,
Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media, Comm. Pure Appl. Math, vol.58, issue.3, pp.319-361, 2005. ,
User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.), vol.27, issue.1, pp.1-67, 1992. ,
Modeling crowd dynamics by the mean-field limit approach, Math. Comput. Modelling, vol.52, issue.9, pp.1506-1520, 2010. ,
Justification and extension of Doob's heuristic approach to the KolmogorovSmirnov theorems, Ann. Math. Statistics, vol.23, pp.277-281, 1952. ,
Heuristic approach to the Kolmogorov-Smirnov theorems, Ann. Math. Statistics, vol.20, pp.393-403, 1949. ,
Exponential and uniform ergodicity of Markov processes, Ann. Probab, vol.23, issue.4, pp.1671-1691, 1995. ,
Deterministic and stochastic optimal control, Applications of Mathematics, issue.1, 1975. ,
Two volumes bound as one, Reprint of the 1975 and 1976 original published in two volumes, 2006. ,
Elliptic partial differential equations of second order, Classics in Mathematics, 2001. ,
On the strong maximum principle for degenerate parabolic equations, J. Differential Equations, vol.242, issue.1, pp.72-85, 2007. ,
Hypoelliptic second order differential equations, Acta Math, vol.119, pp.147-171, 1967. ,
Linear operators leaving invariant a cone in a Banach space, Amer. Math. Soc. Translation, issue.26, p.128, 1950. ,
Nonlinear elliptic and parabolic equations of the second order, of Mathematics and its Applications (Soviet Series), vol.7, 1987. ,
Controlled diffusion processes, volume 14 of Stochastic Modelling and Applied Probability, 1977. ,
An estimate for the probability of a diffusion process hitting a set of positive measure, Dokl. Akad. Nauk SSSR, vol.245, issue.1, pp.18-20, 1979. ,
Mean field games, Jpn. J. Math, vol.2, issue.1, pp.229-260, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00667356
Equations paraboliques et ergodicité. Course at the Collège de France, www.college-de-france, pp.2014-2015 ,
Homogeneization of Hamilton-Jacobi equations. Unpublished, 1986. ,
Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise, Stochastic Process. Appl, vol.101, issue.2, pp.185-232, 2002. ,
Markov chains and stochastic stability, Communications and Control Engineering Series, 1993. ,
Maximum principles in differential equations, 1967. ,
Operatori ellittici estremanti, Ann. Mat. Pura Appl, vol.72, issue.4, pp.141-170, 1966. ,
Functional integration and quantum physics, 2005. ,
On degenerate elliptic-parabolic operators of second order and their associated diffusions, Comm. Pure Appl. Math, vol.25, pp.651-713, 1972. ,
On the support of diffusion processes with applications to the strong maximum principle, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, pp.333-359, 1970. ,
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations, Rev. Mat. Iberoamericana, vol.4, issue.3-4, pp.453-468, 1988. ,
Controllability for a class of area-preserving twist maps, Phys. D, vol.189, issue.3-4, pp.234-246, 2004. ,
, Cergy-Pontoise 95092, France E-mail address: c.bianca@ecam-epmi, fr Christian Dogbe: Department of Mathematics, LMNO, CNRS, UMR 6139, 14032.