3 papers
math.PR2020
The non-linear sewing lemma III: Stability and generic properties
Antoine Brault, Antoine Lejay
Solutions of Rough Differential Equations (RDE) may be defined as paths whose increments are close to an approximation of the associated flow. They are constructed through a discre…
math.PR2018
The non-linear sewing lemma II: Lipschitz continuous formulation
Antoine Brault, Antoine Lejay
We give an unified framework to solve rough differential equations. Based on flows, our approach unifies the former ones developed by Davie, Friz-Victoir and Bailleul. The main ide…
math.PR2018
The non-linear sewing lemma I : weak formulation
Antoine Brault, Antoine Lejay
We introduce a new framework to deal with rough differential equations based on flows and their approximations. Our main result is to prove that measurable flows exist under weak c…