I. Bailleul and R. Catellier, Limit theorems for systems of mean field rough differential equations, 2018.

I. Bailleul and S. Riedel, Rough flows, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01278749

I. Bailleul, Flows driven by rough paths, Revista Matem??tica Iberoamericana, vol.31, issue.3, pp.31901-934, 2015.
DOI : 10.4171/RMI/858

URL : https://hal.archives-ouvertes.fr/hal-00704959

D. Blackwell and L. Dubins, An extension of Skorohod's almost sure representation theorem, Proc. Am. Nat. Soc, vol.89, issue.4, pp.691-692, 1983.

A. Budhiraja, P. Dupuis, and M. Fischer, Large deviation properties of weakly interacting processes via weak convergence methods, The Annals of Probability, vol.40, issue.1, pp.74-102, 2012.
DOI : 10.1214/10-AOP616

A. Budhiraja and . Wu, Moderate deviation principles for weakly interacting particle systems, Probability Theory and Related Fields, vol.32, issue.3, pp.721-771, 2017.
DOI : 10.1016/S0924-6509(08)70405-7

URL : http://arxiv.org/pdf/1510.02187

P. Cardaliaguet, Notes on mean field games, 2013.

R. Carmona and F. Delarue, Probabilistic Theory of Mean Field Games: vol. I, Mean Field FBSDEs, Control, and Games. Probability Theory and Stochastic Modelling

R. Carmona and F. Delarue, Probabilistic Theory of Mean Field Games, Mean Field Games with Common Noise and Master Equations. Probability Theory and Stochastic Modelling

T. Cass, C. Litterer, and T. Lyons, Integrability and tail estimates for Gaussian rough differential equations, The Annals of Probability, vol.41, issue.4, pp.3026-3050, 2013.
DOI : 10.1214/12-AOP821

URL : http://doi.org/10.1214/12-aop821

T. Cass and T. Lyons, Evolving communities with individual preferences, Proceedings of the London Mathematical Society, vol.77, issue.1, pp.83-107, 2015.
DOI : 10.1007/978-3-540-71050-9

URL : http://onlinelibrary.wiley.com/doi/10.1112/plms/pdu040/pdf

T. Cass and M. Ogrodnik, Tail estimates for Markovian rough paths, The Annals of Probability, vol.45, issue.4, pp.2477-2504, 2017.
DOI : 10.1214/16-AOP1117

URL : http://arxiv.org/pdf/1411.5189

M. Coghi and F. Flandoli, Propagation of chaos for interacting particles subject to environmental noise, The Annals of Applied Probability, vol.26, issue.3, pp.1407-1442, 2016.
DOI : 10.1214/15-AAP1120

L. Coutin and A. Lejay, ??quations diff??rentielles lin??aires rugueuses perturb??es, Annales math??matiques Blaise Pascal, vol.21, issue.1, pp.103-150, 2014.
DOI : 10.5802/ambp.338

L. Coutin and A. Lejay, Sensitivity of rough differential equations: an approach through the Omega lemma Technical report

D. Dawson and J. Gärtner, Large deviations from the mckean-vlasov limit for weakly interacting diffusions, Stochastics, vol.31, issue.4, pp.247-308, 1987.
DOI : 10.1007/978-1-4613-8514-1

D. Dawson and J. Vaillancourt, Stochastic McKean-Vlasov equations, Nonlinear Differential Equations and Applications NoDEA, vol.X, issue.1, pp.199-229, 1995.
DOI : 10.1080/07362998808809160

S. Dereich, Rough paths analysis of general Banach space-valued Wiener processes, Journal of Functional Analysis, vol.258, issue.9, pp.2910-2936, 2010.
DOI : 10.1016/j.jfa.2010.01.018

S. Dereich and G. Dimitroff, A SUPPORT THEOREM AND A LARGE DEVIATION PRINCIPLE FOR KUNITA FLOWS, Stochastics and Dynamics, vol.28, issue.03, p.115022, 2012.
DOI : 10.1016/S0304-4149(02)00176-X

J. Deuschel, P. Friz, M. Maurelli, and M. Slowik, The enhanced Sanov theorem and propagation of chaos, Stochastic Processes and their Applications, 2016.
DOI : 10.1016/j.spa.2017.09.010

J. Diehl, H. Oberhauser, and S. Riedel, A L??vy area between Brownian motion and rough paths with applications to robust nonlinear filtering and rough partial differential equations, Stochastic Processes and their Applications, vol.125, issue.1, pp.161-181, 2015.
DOI : 10.1016/j.spa.2014.08.005

D. Feyel and A. De-la-pradelle, Curvilinear Integrals Along Enriched Paths, Electronic Journal of Probability, vol.11, issue.0, pp.860-892, 2006.
DOI : 10.1214/EJP.v11-356

URL : http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.503.4178&rep=rep1&type=pdf

N. Fournier and A. Guillin, On the rate of convergence in the Wasserstein distance of the empirical measure. Probab. Theory Related Fields, pp.707-738, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00915365

P. Friz and M. Hairer, A course on rough paths, with an introduction to regularity structures, 2014.

P. Friz and S. Riedel, Integrability of (Non-)Linear Rough Differential Equations and Integrals, Stochastic Analysis and Applications, vol.14, issue.3, pp.336-358, 2013.
DOI : 10.1093/acprof:oso/9780198506485.001.0001

P. Friz and N. Victoir, Multidimensional stochastic processes as rough paths, Cambridge studies in advanced Mathematics, vol.120, 2010.
DOI : 10.1017/CBO9780511845079

J. Gärtner, On the McKean-Vlasov Limit for Interacting Diffusions, Mathematische Nachrichten, vol.44, issue.1, pp.197-248, 1988.
DOI : 10.1016/S0924-6509(08)70405-7

M. Gubinelli, Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004.
DOI : 10.1016/j.jfa.2004.01.002

URL : https://doi.org/10.1016/j.jfa.2004.01.002

M. Kac, Foundations of kinetic theory, Third Berkeley Symp. on Math. Stat. and Probab, vol.3, pp.171-197, 1956.

D. Kelly and I. Melbourne, Deterministic homogenization for fast???slow systems with chaotic noise, Journal of Functional Analysis, vol.272, issue.10, 2014.
DOI : 10.1016/j.jfa.2017.01.015

URL : http://arxiv.org/pdf/1409.5748

V. N. Kolokoltsov and M. Troeva, On the mean field games with common noise and the McKean-Vlasov SPDEs, 2015.

M. Ledoux, T. Lyons, and Z. Qian, L??vy area of Wiener processes in Banach spaces, The Annals of Probability, vol.30, issue.2, pp.546-578, 2002.
DOI : 10.1214/aop/1023481002

P. Lions, Théorie des jeuxàjeuxà champs moyen et applications, Lectures at theColì ege de France, 2007.

T. Lyons, Differential equations driven by rough paths, Rev. Mat. Iberoamericana, vol.14, issue.2, pp.215-310, 1998.

T. Lyons and Z. Qian, Flow of diffeomorphisms induced by a geometric multiplicative functional, Probability Theory and Related Fields, vol.112, issue.1, pp.91-119, 1998.
DOI : 10.1007/s004400050184

H. P. Mckean, A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS, Proceedings of the National Academy of Sciences, vol.56, issue.6, pp.1907-1911, 1966.
DOI : 10.1073/pnas.56.6.1907

A. Sznitman, Topics in propagation of chaos, Lect. Notes Math, vol.22, issue.1, 1464.
DOI : 10.1070/SM1974v022n01ABEH001689

H. Tanaka, Probabilistic treatment of the Boltzman equation of Maxwellian molecules, Probab. Th. Rel. Fields, vol.46, pp.67-105, 1978.

C. Wu and J. Zhang, An elementary proof for the structure of derivatives in probability measures, 2017.

?. I. Bailleul-univ, C. Rennes, and . Irmar-umr, F-35000 Rennes, France. ismael.bailleul@univ-rennes1, p.6108