10 citations · 65 across the 32 of their papers we have counts for
4 papers · 1 filter
The inverse problem for rough controlled differential equations
I. Bailleul, J. Diehl
We provide a necessary and sufficient condition for a rough control driving a differential equation to be reconstructable, to some order, from observing the resulting controlled ev…
A flow-based approach to rough differential equations
Ismael Bailleul
These are lecture notes for a Master 2 course on rough differential equations driven by weak geometric Holder p-rough paths, for any p>2. They provide a short, self-contained and p…
Rough integrators on Banach manifolds
Ismael Bailleul
We introduce a notion of p-rough integrator on any Banach manifolds, for any , which plays the role of weak geometric Holder p-rough paths in the usual Banach space settin…
Regularity of the Ito-Lyons map
I. Bailleul
We show in this note that the Ito-Lyons solution map associated to a rough differential equation is Frechet differentiable when understood as a map between some Banach spaces of co…