3 papers
math.PR2026
Rough differential equations in the flow approach
Ajay Chandra, Léonard Ferdinand
We show how the flow approach of Duch, with elementary differentials as coordinates, can be used to prove well-posedness for rough stochastic differential equations driven by fract…
math.DG2025
Rough geometric integration
Ajay Chandra, Harprit Singh
We introduce a notion of distributional -forms on -dimensional manifolds which can be integrated against suitably regular -submanifolds. Our approach combines ideas from W…
math.PR2025
A flow approach to the generalized KPZ equation
Ajay Chandra, Léonard Ferdinand
We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow app…