Notes on proofs of continuity theorem in rough path analysis, 2006. ,
Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation, Applied Mathematics Research eXpress, vol.2, p.40, 2007. ,
DOI : 10.1093/amrx/abm009
A Milstein-type scheme without L??vy area terms for SDEs driven by fractional Brownian motion, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.48, issue.2, 2010. ,
DOI : 10.1214/10-AIHP392
Liens entre équations différentielles stochastiques et ordinaires, Ann. Inst. H. Poincaré Sect. B (N.S.), vol.13, issue.2, pp.99-125, 1977. ,
Euler estimates for rough differential equations, Journal of Differential Equations, vol.244, issue.2, pp.388-412, 2008. ,
DOI : 10.1016/j.jde.2007.10.008
Variable Step Size Control in the Numerical Solution of Stochastic Differential Equations, SIAM Journal on Applied Mathematics, vol.57, issue.5, pp.1455-1484, 1997. ,
DOI : 10.1137/S0036139995286515
Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004. ,
DOI : 10.1016/j.jfa.2004.01.002
URL : http://doi.org/10.1016/j.jfa.2004.01.002
Asymptotic expansions for the Laplace approximations for It?? functionals of Brownian rough paths, Journal of Functional Analysis, vol.243, issue.1, pp.270-322, 2007. ,
DOI : 10.1016/j.jfa.2006.09.016
An Introduction to Rough Paths, Lecture Notes in Mathematics, vol.1832, pp.1-59, 2003. ,
DOI : 10.1007/978-3-540-40004-2_1
URL : https://hal.archives-ouvertes.fr/inria-00102184
On <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-rough paths, Journal of Differential Equations, vol.225, issue.1, pp.103-133, 2006. ,
DOI : 10.1016/j.jde.2006.01.018
Differential equations driven by rough signals, Revista Matem??tica Iberoamericana, vol.14, issue.2, pp.215-310, 1998. ,
DOI : 10.4171/RMI/240
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
Differential Equations Driven by Rough Paths, École d'été des probabilités de Saint-Flour XXXIV ?, Lecture Notes in Mathematics, vol.1908, 2004. ,
Inequalities involving functions and their integrals and derivatives, Mathematics and its Applications, vol.53, 1991. ,
DOI : 10.1007/978-94-011-3562-7
On the Gap Between Deterministic and Stochastic Ordinary Differential Equations, The Annals of Probability, vol.6, issue.1, pp.19-41, 1978. ,
DOI : 10.1214/aop/1176995608