Exponential representation of flows and a chronological enumeration, Math. USSR Sb, vol.35, pp.727-785, 1979. ,
Flows driven by rough paths, Rev. Mat. Iberoamericana, vol.31, issue.3, pp.901-934, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00704959
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
Rough flows, J. Math. Soc. Japan, vol.71, issue.3, pp.915-978, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01278749
On the definition of a solution to a rough differential equation Annales de la Faculté des, Sciences de Toulouse. Mathématiques, 2020. ,
Transport and continuity equations with (very) rough noise, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-02490638
The Magnus expansion and some of its applications, Phys. Rep, vol.470, pp.151-238, 2009. ,
, Factorial decay of iterated rough integrals. arXiv 1609.05368, 2016.
Decay rate of iterated integrals of branched rough paths, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.35, issue.4, pp.945-969, 2018. ,
An isomorphism between branched and geometric rough paths, Ann. Inst. H. Poincaré Probab. Statist, vol.55, issue.2, pp.1131-1148, 2019. ,
Uniform factorial decay estimates for controlled differential equations, Electron. Commun. Probab, vol.20, issue.94, p.11, 2015. ,
Algebraic structure of aromatic B-series, J. Comput. Dyn, vol.6, issue.2, pp.199-222, 2019. ,
Topics in noncommutative algebra: The theorem of Campbell, Baker, Hausdorff and Dynkin, Lecture Notes in Mathematics, vol.2034, 2012. ,
Dimension-free Euler estimates of rough differential equations, Rev. Roumaine Math. Pures Appl, vol.59, issue.1, pp.25-53, 2014. ,
Renormalisation from non-geometric to geometric rough paths, 2007. ,
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
The non-linear sewing lemma III: Stability and generic properties, Forum Mathematicum, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02265268
Quasi-shuffle algebras and renormalisation of rough differential equations, Bull. London Math. Soc, vol.52, pp.43-63, 2020. ,
An algebraic theory of integration methods, Mathematics of Computation, vol.26, issue.117, pp.79-79, 1972. ,
Tree algebras over topological vector spaces in rough path theory, 2016. ,
Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula, Ann. of Math, vol.65, issue.2, pp.163-178, 1957. ,
, Planarly branched rough paths and rough differential equations on homogeneous spaces, 2018.
Differential equations driven by rough paths: an approach via discrete approximation, Appl. Math. Res. Express. AMRX, vol.2, 2007. ,
Multidimensional real analysis. I. Differentiation, Cambridge Studies in Advanced Mathematics, vol.86, 2004. ,
A non-commutative sewing lemma, Electron. Commun. Probab, vol.13, pp.24-34, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00151183
Euler estimates for rough differential equations, J. Differential Equations, vol.244, issue.2, pp.388-412, 2008. ,
Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics, vol.120, 2010. ,
Differential algebra structures on families of trees, Adv. in Appl. Math, vol.35, issue.1, pp.97-119, 2005. ,
Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004. ,
Ramification of rough paths, J. Differential Equations, vol.248, issue.4, pp.693-721, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00143655
Structure-preserving algorithms for ordinary differential equations, Springer Series in Computational Mathematics. Springer, Heidelberg, 2010. ,
Geometric versus non-geometric rough paths, Ann. Inst. Henri Poincaré Probab. Stat, vol.51, issue.1, pp.207-251, 2015. ,
Fractional order Taylor's series and the neo-classical inequality, Bull. Lond. Math. Soc, vol.42, issue.3, pp.467-477, 2010. ,
On pp, qq-rough paths, J. Differential Equations, vol.225, issue.1, pp.103-133, 2006. ,
System control and rough paths, 2002. ,
An extension theorem to rough paths, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.24, issue.5, pp.835-847, 2007. ,
Differential equations driven by rough signals, Rev. Mat. Iberoamericana, vol.14, issue.2, pp.215-310, 1998. ,
, The universal pre-Lie-Rinehart algebras of aromatic trees, 2002.
B-series methods are exactly the affine equivariant methods, Numer. Math, vol.133, issue.3, pp.599-622, 2016. ,
A non-associative Baker-Campbell-Hausdorff formula, Proc. Amer. Math. Soc, vol.145, issue.12, pp.5109-5122, 2017. ,
Aromatic Butcher series, Found. Comput. Math, vol.16, issue.1, pp.183-215, 2016. ,
Formal series and numerical integrators. I. Systems of ODEs and symplectic integrators, Appl. Numer. Math, vol.29, issue.2, pp.221-251, 1999. ,
Runge-kutta methods for rough differential equations, 2003. ,
Backward error analysis for numerical integrators, SIAM J. Numer. Anal, vol.36, issue.5, pp.1549-1570, 1999. ,
The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations, J. Funct. Anal, vol.72, issue.2, pp.320-345, 1987. ,
The geometry of the space of branched rough paths, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01908559