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
Flows driven by rough paths, Rev. Mat. Iberoamericana, vol.31, issue.3, pp.901-934, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00704959
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
Extending the Wong-Zakai theorem to reversible Markov processes, J. Eur. Math. Soc. (JEMS), vol.4, issue.3, pp.237-269, 2002. ,
The non-linear sewing lemma II: Lipschitz continuous formulation, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01839202
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
Analyse fonctionnelle: théorie et applications, vol.91, 1999. ,
A general theory of convergence for numerical methods, SIAM J. Numer. Anal, vol.9, pp.476-492, 1972. ,
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
Differential equations driven by rough paths: an approach via discrete approximation, Appl. Math. Res. Express. AMRX, vol.2, 2007. ,
Generic flows generated by continuous vector fields in banach spaces, Advances in Mathematics, vol.50, issue.3, pp.266-280, 1983. ,
Deux exemples singuliers d'équations différentielles, Leopoldo Fejér et Frederico Riesz LXX annos natis dedicatus, vol.12, pp.38-40, 1950. ,
A non-commutative sewing lemma, Electron. Commun. Probab, vol.13, pp.24-34, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00151183
A course on rough paths, 2014. ,
Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics, vol.120, 2010. ,
Euler estimates for rough differential equations, J. Differential Equations, vol.244, issue.2, pp.388-412, 2008. ,
Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004. ,
Pathwise convergence of numerical schemes for random and stochastic differential equations, Foundations of computational mathematics, vol.363, pp.140-161, 2008. ,
The pathwise convergence of approximation schemes for stochastic differential equations, LMS J. Comput. Math, vol.10, pp.235-253, 2007. ,
Numerical solution of stochastic differential equations, Applications of Mathematics, vol.23, 1992. ,
Convergence of numerical methods for stochastic differential equations in mathematical finance, Recent developments in computational finance, vol.14, pp.49-80, 2013. ,
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. ,
, Stochastic Differential Equations and Stochastic flow of diffeomorphisms, vol.1097, pp.144-305, 2006.
, Quelques propriétés topologiques du produit combinatoire. Fundamenta Mathematicae, vol.19, pp.247-251, 1932.
The generic property of existence of solutions of differential equations in Banach space, J. Differential Equations, vol.13, pp.1-12, 1973. ,
Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math, vol.9, pp.267-293, 1956. ,
Large deviations and support theorem for diffusion processes via rough paths, Stochastic Process. Appl, vol.102, issue.2, pp.265-283, 2002. ,
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
On pp, qq-rough paths, J. Differential Equations, vol.225, issue.1, pp.103-133, 2006. ,
System control and rough paths, 2002. ,
Differential equations driven by rough signals, Rev. Mat. Iberoamericana, vol.14, issue.2, pp.215-310, 1998. ,
Partial orderings and Moore-Smith limits, Amer. Math. Monthly, vol.59, pp.1-11, 1952. ,
Orlicz type category theorems for functional and differential equations, Instytut Matematyczny Polskiej Akademi Nauk, 1983. ,
Zur theorie der differentialgleichung y 1 " f px, yq, Bull. Acad. Polon. Sci, pp.221-228, 1932. ,
Continuous martingales and Brownian motion, vol.293, 2013. ,
, Résolution trajectorielle et analyse numérique des équations différentielles stochastiques. Stochastics, vol.9, pp.275-306, 1983.