G. Allaire, Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992.
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805

L. Bruneau and S. Debì-evre, A Hamiltonian model for linear friction in a homogeneous medium, Communications in Mathematical Physics, vol.229, issue.3, pp.511-542, 2002.
DOI : 10.1007/s00220-002-0689-0
URL : https://hal.archives-ouvertes.fr/hal-00181007

A. Dalibard, Homogenization of Linear Transport Equations in a Stationary Ergodic Setting, Communications in Partial Differential Equations, vol.20, issue.5, pp.881-921, 2008.
DOI : 10.1002/(SICI)1097-0312(199907)52:7<811::AID-CPA2>3.0.CO;2-D
URL : https://hal.archives-ouvertes.fr/hal-00128838

S. Debì-evre, P. Lafitte, and P. Parris, Normal transport at positive temperatures in classical Hamiltonian open systems, Adventures in Mathematical Physics: a volume in honour of J.-M. Combes, pp.57-71, 2007.
DOI : 10.1090/conm/447/08682

S. Debì-evre, P. Lafitte, and P. Parris, Normal transport properties in a metastable stationary state for a classical particle coupled to a non-Ohmic bath, J. Stat. Phys, vol.132, issue.5, pp.863-879, 2008.

P. Debì-evre, A. Parris, and . Silvius, Chaotic dynamics of a free particle interacting linearly with a harmonic oscillator, Physica D: Nonlinear Phenomena, vol.208, issue.1-2, pp.96-114, 2005.
DOI : 10.1016/j.physd.2005.06.008

D. Dolgopyat and L. Koralov, Motion in a random force field, Nonlinearity, vol.22, issue.1, pp.187-211, 2009.
DOI : 10.1088/0951-7715/22/1/010

K. Domelevo and P. Villedieu, A hierarchy of models for turbulent dispersed two-phase flows derived from a kinetic equation for the joint particle-gas pdf, Communications in Mathematical Sciences, vol.5, issue.2, pp.331-353, 2007.
DOI : 10.4310/CMS.2007.v5.n2.a6
URL : https://hal.archives-ouvertes.fr/hal-00635648

D. Dürr, S. Goldstein, and J. L. , Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model, Communications in Mathematical Physics, vol.XXXVIII, issue.2, pp.209-230, 1987.
DOI : 10.1007/BF01223512

R. Edwards, Functional analysis, 1994.

E. Frénod and K. Hamdache, Homogenisation of transport kinetic equations with oscillating potentials, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.21, issue.06, pp.1247-1275, 1996.
DOI : 10.1007/BF01393835

F. Golse, From kinetic to macroscopic models, Kinetic Equations and Asympototic Theory, pp.41-126, 2000.

T. Goudon and A. Mellet, Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.371-398, 2003.
DOI : 10.1051/cocv:2003018

T. Goudon and F. Poupaud, APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS, Communications in Partial Differential Equations, vol.84, issue.3, pp.537-569, 2001.
DOI : 10.1081/PDE-100002237

T. Goudon and F. Poupaud, Homogenization of Transport Equations: Weak Mean Field Approximation, SIAM Journal on Mathematical Analysis, vol.36, issue.3, pp.856-881, 2004.
DOI : 10.1137/S0036141003415032
URL : https://hal.archives-ouvertes.fr/hal-00018816

T. Goudon, P. Lafitte, and M. Rousset, Modeling and Simulation of Fluid-Particles Flows, Series in Contemporary Applied Mathematics, 2008.
DOI : 10.1142/9789814322898_0005
URL : https://hal.archives-ouvertes.fr/hal-00768631

H. J. Kushner, Approximation and Weak Convergence Methods for Random Processes, 1984.

H. Kesten and G. C. Papanicolaou, A limit theorem for turbulent diffusion, Communications in Mathematical Physics, vol.41, issue.2, pp.97-128, 1979.
DOI : 10.1007/BF01225144

H. Kesten and G. C. Papanicolaou, A limit theorem for stochastic acceleration, Communications in Mathematical Physics, vol.119, issue.1, pp.19-63, 1980.
DOI : 10.1007/BF01941968

T. Komorowski and L. Ryzhik, The stochastic acceleration problem in two dimensions, Israel Journal of Mathematics, vol.4, issue.1, pp.157-203, 2006.
DOI : 10.1007/BF02773954

T. Komorowski and L. Ryzhik, Passive tracer in a slowly decorrelating random flow with a large mean, Nonlinearity, vol.20, issue.5, pp.1215-1239, 2007.
DOI : 10.1088/0951-7715/20/5/009

M. Krein and M. Rutman, Linear operator leaving invariant a cone in a Banach space, AMS Transl, vol.10, pp.199-325, 1962.

G. O. Roberts and R. L. Tweedie, Exponential Convergence of Langevin Distributions and Their Discrete Approximations, Bernoulli, vol.2, issue.4, pp.341-363, 1996.
DOI : 10.2307/3318418

G. Nguetseng, A General Convergence Result for a Functional Related to the Theory of Homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-623, 1989.
DOI : 10.1137/0520043

F. Poupaud and A. Vasseur, Classical and quantum transport in random media, Journal de Math??matiques Pures et Appliqu??es, vol.82, issue.6, pp.711-748, 2003.
DOI : 10.1016/S0021-7824(03)00038-2