5 citations · 14 across the 7 of their papers we have counts for
5 papers · 1 filter
Paracontrolled calculus and regularity structures
I. Bailleul, M. Hoshino
We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…
Young and rough differential inclusions
I. Bailleul, A. Brault, L. Coutin
We define in this work a notion of Young differential inclusion for an -Holder control , with , and give an existence result for such a diff…
On the definition of a solution to a rough differential equation
I. Bailleul
We give an elementary proof that Davie's definition of a solution to a rough differential equation and the notion of solution given by Bailleul in (Flows driven by rough paths) coi…
Non-explosion criteria for rough differential equations driven by unbounded vector fields
I. Bailleul, R. Catellier
We give in this note a simple treatment of the non-explosion problem for rough differential equations driven by unbounded vector fields and weak geometric rough paths of arbitrary…
Solving mean field rough differential equations
I. Bailleul, R. Catellier, F. Delarue
We provide in this work a robust solution theory for random rough differential equations of mean field type wh…