A. A. Arsen-ev, Existence in the large of a weak solution of Vlasov's system of equations, Z. Vy?isl. Mat. i Mat. Fiz, vol.15, issue.276, pp.136-147, 1975.

J. Batt, N-particle approximation to the nonlinear Vlasov???Poisson system, Proceedings of the Third World Congress of Nonlinear Analysts, pp.1445-1456, 2001.
DOI : 10.1016/S0362-546X(01)00280-2

[. Bolley, J. A. Cañizo, and J. A. Carrillo, STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING, Mathematical Models and Methods in Applied Sciences, vol.21, issue.11, pp.2179-2210, 2011.
DOI : 10.1142/S0218202511005702

F. Bolley, A. Guillin, and C. Villani, Quantitative concentration inequalities for empirical measures on non-compact spaces. Probab. Theory Related Fields, pp.3-4541, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00453883

W. Braun and K. Hepp, The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles, Communications in Mathematical Physics, vol.35, issue.2, pp.101-113, 1977.
DOI : 10.1007/BF01611497

J. Barré, M. Hauray, and P. E. Jabin, -particle dynamics with a singular potential, Journal of Statistical Mechanics: Theory and Experiment, vol.2010, issue.07, p.5, 2010.
DOI : 10.1088/1742-5468/2010/07/P07005

URL : https://hal.archives-ouvertes.fr/in2p3-00608259

J. Barré and P. E. Jabin, Free Transport Limit for N-particles Dynamics with Singular and Short Range Potential, Journal of Statistical Physics, vol.37, issue.3, pp.1085-1101, 2008.
DOI : 10.1007/s10955-008-9526-y

]. E. Boi11 and . Boissard, Probì emes d'interaction discret-continu et distances de Wasserstein, 2011.

[. Champion, L. D. Pascale, and P. Juutinen, The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps, SIAM Journal on Mathematical Analysis, vol.40, issue.1, pp.1-20, 2008.
DOI : 10.1137/07069938X

URL : https://hal.archives-ouvertes.fr/hal-01288953

W. Dehnen, A Very Fast and Momentum-conserving Tree Code, The Astrophysical Journal, vol.536, issue.1, pp.39-42, 2000.
DOI : 10.1086/312724

J. Ronald, P. Diperna, and . Lions, Ordinary differential equations, Invent. Math, vol.98, pp.511-547, 1989.

]. R. Dob79 and . Dobru?in, Vlasov equations, Funktsional. Anal. i Prilozhen, vol.13, issue.2, pp.48-58, 1979.

J. [. Dobri´cdobri´c and . Yukich, Asymptotics for transportation cost in high dimensions, Journal of Theoretical Probability, vol.7, issue.1, pp.97-118, 1995.
DOI : 10.1007/BF02213456

F. Gao, Moderate deviations and large deviations for kernel density estimators, Journal of Theoretical Probability, vol.16, issue.2, pp.401-418, 2003.
DOI : 10.1023/A:1023574711733

J. Goodman and T. Y. Hou, New stability estimates for the 2-D vortex method, Communications on Pure and Applied Mathematics, vol.24, issue.8-9, pp.8-91015, 1991.
DOI : 10.1002/cpa.3160440813

J. Goodman, T. Y. Hou, and J. Lowengrub, Convergence of the point vortex method for the 2-D euler equations, Communications on Pure and Applied Mathematics, vol.25, issue.3, pp.415-430, 1990.
DOI : 10.1002/cpa.3160430305

K. Ganguly, J. T. Lee, H. D. Victory, and . Jr, On Simulation Methods for Vlasov???Poisson Systems with Particles Initially Asymptotically Distributed, SIAM Journal on Numerical Analysis, vol.28, issue.6, pp.1574-1609, 1991.
DOI : 10.1137/0728080

K. Ganguly, H. D. Victory, and . Jr, On the Convergence of Particle Methods for Multidimensional Vlasov???Poisson Systems, SIAM Journal on Numerical Analysis, vol.26, issue.2, pp.249-288, 1989.
DOI : 10.1137/0726015

M. Hauray, On Liouville transport equation with force field in BV loc, Comm. Partial Differential Equations, vol.29, issue.12, pp.207-217, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00869729

M. Hauray, WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.08, pp.1357-1384, 2009.
DOI : 10.1142/S0218202509003814

M. Hauray and P. Jabin, N-particles Approximation of the Vlasov Equations with Singular Potential, Archive for Rational Mechanics and Analysis, vol.176, issue.3, pp.489-524, 2007.
DOI : 10.1007/s00205-006-0021-9

URL : https://hal.archives-ouvertes.fr/hal-00000670

M. Hauray and S. Mischler, On kac's chaos and related problems. To be published soon, 2012.

]. E. Hor93 and . Horst, On the asymptotic growth of the solutions of the Vlasov-Poisson system, Math. Methods Appl. Sci, vol.16, issue.2, pp.75-86, 1993.

M. Kac, Foundations of kinetic theory, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, pp.171-197, 1954.

G. Loeper, Uniqueness of the solution to the Vlasov???Poisson system with bounded density, Journal de Math??matiques Pures et Appliqu??es, vol.86, issue.1, pp.68-79, 2006.
DOI : 10.1016/j.matpur.2006.01.005

P. Lions and B. Perthame, Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Inventiones Mathematicae, vol.33, issue.no 1, pp.415-430, 1991.
DOI : 10.1007/BF01232273

S. Mischler and C. Mouhot, Kac's Program in Kinetic Theory. ArXiv e-prints, 2011.

H. Neunzert and J. Wick, The convergence of simulation methods in plasma physics, Mathematical methods of plasmaphysics (Oberwolfach, pp.271-286, 1979.

]. K. Pfa92 and . Pfaffelmoser, Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data, J. Differential Equations, vol.95, issue.2, pp.281-303, 1992.

G. Donald and . Saari, Improbability of collisions in Newtonian gravitational systems, II. Trans. Amer. Math. Soc, vol.181, pp.351-368, 1973.

G. Donald and . Saari, A global existence theorem for the four-body problem of Newtonian mechanics, J. Differential Equations, vol.26, issue.1, pp.80-111, 1977.

J. Schaeffer, Global existence of smooth solutions to the vlasov poisson system in three dimensions, Communications in Partial Differential Equations, vol.15, issue.8-9, pp.1313-1335, 1991.
DOI : 10.1002/mma.1670040104

S. Schochet, The point-vortex method for periodic weak solutions of the 2-D Euler equations, Communications on Pure and Applied Mathematics, vol.49, issue.9, pp.911-965, 1996.
DOI : 10.1002/(SICI)1097-0312(199609)49:9<911::AID-CPA2>3.0.CO;2-A

H. Spohn, Large scale dynamics of interacting particles, 1991.
DOI : 10.1007/978-3-642-84371-6

A. Sznitman, Topics in propagation of chaos, Lecture Notes in Math, vol.22, issue.1, pp.165-251
DOI : 10.1070/SM1974v022n01ABEH001689

]. V. Var58 and . Varadarajan, On the convergence of sample probability distributions, Sankhy¯ a, vol.19, pp.23-26, 1958.

C. Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol.58, 2003.
DOI : 10.1090/gsm/058

S. Wollman, On the Approximation of the Vlasov--Poisson System by Particle Methods, SIAM Journal on Numerical Analysis, vol.37, issue.4, pp.1369-1398, 2000.
DOI : 10.1137/S0036142999298528

Z. Xia, The Existence of Noncollision Singularities in Newtonian Systems, The Annals of Mathematics, vol.135, issue.3, pp.411-468, 1992.
DOI : 10.2307/2946572