I. Bailleul, Flows driven by Banach space-valued rough paths, Séminaire de Probabilités XLVI, vol.2123, pp.195-205, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00905828

I. Bailleul, Flows driven by rough paths, Rev. Mat. Iberoamericana, vol.31, issue.3, pp.901-934, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00704959

I. Bailleul, S. Riedel, and M. Scheutzow, Random dynamical systems, rough paths and rough flows, J. Differential Equations, vol.262, issue.12, pp.5792-5823, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01426346

R. F. Bass, B. M. Hambly, and T. J. Lyons, Extending the Wong-Zakai theorem to reversible Markov processes, J. Eur. Math. Soc. (JEMS), vol.4, issue.3, pp.237-269, 2002.

A. Brault and A. Lejay, The non-linear sewing lemma II: Lipschitz continuous formulation, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01839202

A. Brault and A. Lejay, The non-linear sewing lemma I: weak formulation, Electronic Journal of Probability, vol.24, issue.59, pp.1-24, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01716945

H. Brezis, P. Ciarlet, and J. Lions, Analyse fonctionnelle: théorie et applications, vol.91, 1999.

B. Chartres and R. Stepleman, A general theory of convergence for numerical methods, SIAM J. Numer. Anal, vol.9, pp.476-492, 1972.

L. Coutin and A. Lejay, Semi-martingales and rough paths theory, Electron. J. Probab, vol.10, issue.23, pp.761-785, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00000411

A. M. Davie, Differential equations driven by rough paths: an approach via discrete approximation, Appl. Math. Res. Express. AMRX, vol.2, 2007.

F. S. De-blasi and J. Myjak, Generic flows generated by continuous vector fields in banach spaces, Advances in Mathematics, vol.50, issue.3, pp.266-280, 1983.

J. Dieudonné, Deux exemples singuliers d'équations différentielles, Leopoldo Fejér et Frederico Riesz LXX annos natis dedicatus, vol.12, pp.38-40, 1950.

D. Feyel, A. De-la-pradelle, and G. Mokobodzki, A non-commutative sewing lemma, Electron. Commun. Probab, vol.13, pp.24-34, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00151183

P. K. Friz and M. Hairer, A course on rough paths, 2014.

P. K. Friz and N. B. Victoir, Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics, vol.120, 2010.

P. Friz and N. Victoir, Euler estimates for rough differential equations, J. Differential Equations, vol.244, issue.2, pp.388-412, 2008.

M. Gubinelli, Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004.

A. Jentzen, P. E. Kloeden, and A. Neuenkirch, Pathwise convergence of numerical schemes for random and stochastic differential equations, Foundations of computational mathematics, vol.363, pp.140-161, 2008.

P. E. Kloeden and A. Neuenkirch, The pathwise convergence of approximation schemes for stochastic differential equations, LMS J. Comput. Math, vol.10, pp.235-253, 2007.

P. E. Kloeden and E. Platen, Numerical solution of stochastic differential equations, Applications of Mathematics, vol.23, 1992.

P. Kloeden and A. Neuenkirch, Convergence of numerical methods for stochastic differential equations in mathematical finance, Recent developments in computational finance, vol.14, pp.49-80, 2013.

H. Kunita, Convergence of stochastic flows with jumps and Lévy processes in diffeomorphisms group, Ann. Inst. H. Poincaré Probab. Statist, vol.22, issue.3, pp.287-321, 1986.

H. Kunita, Stochastic Differential Equations and Stochastic flow of diffeomorphisms, vol.1097, pp.144-305, 2006.

C. Kuratowski, . St, and . Ulam, Quelques propriétés topologiques du produit combinatoire. Fundamenta Mathematicae, vol.19, pp.247-251, 1932.

A. Lasota and J. A. Yorke, The generic property of existence of solutions of differential equations in Banach space, J. Differential Equations, vol.13, pp.1-12, 1973.

P. D. Lax and R. D. Richtmyer, Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math, vol.9, pp.267-293, 1956.

M. Ledoux, Z. Qian, and T. Zhang, Large deviations and support theorem for diffusion processes via rough paths, Stochastic Process. Appl, vol.102, issue.2, pp.265-283, 2002.

A. Lejay, Controlled differential equations as Young integrals: a simple approach, J. Differential Equations, vol.249, issue.8, pp.1777-1798, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00402397

A. Lejay and N. Victoir, On pp, qq-rough paths, J. Differential Equations, vol.225, issue.1, pp.103-133, 2006.

T. Lyons and Z. Qian, System control and rough paths, 2002.

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

E. J. Mcshane, Partial orderings and Moore-Smith limits, Amer. Math. Monthly, vol.59, pp.1-11, 1952.

J. Myjak, Orlicz type category theorems for functional and differential equations, Instytut Matematyczny Polskiej Akademi Nauk, 1983.

W. Orlicz, Zur theorie der differentialgleichung y 1 " f px, yq, Bull. Acad. Polon. Sci, pp.221-228, 1932.

D. Revuz and M. Yor, Continuous martingales and Brownian motion, vol.293, 2013.

D. Talay, Résolution trajectorielle et analyse numérique des équations différentielles stochastiques. Stochastics, vol.9, pp.275-306, 1983.