Oct 19 – 20, 2017
INSA Toulouse
Europe/Paris timezone

Recent developments in discontinuous rough paths

Oct 19, 2017, 1:45 PM
Salle 13 Bâtiment Mathématiques Appliquées (INSA Toulouse)

Salle 13 Bâtiment Mathématiques Appliquées

INSA Toulouse

INSA Toulouse Département Mathématiques Appliquées 135 avenue de Rangueil 31077 Toulouse Cédex 4


Ilya Chevyrev


In this talk, we will present the main features of rough paths theory in the discontinuous setting. We will discuss several notions of solutions to discontinuous RDEs and stability results which render the solution map continuous. We will also present an (enhanced) BDG inequality for lifts of càdlàg local martingales. Time permitted, we will discuss several applications, including robust Wong-Zakai-type theorems in the spirit of Kurtz-Pardoux-Protter, and weak convergence of stochastic flows which extends classical results of Kunita. Joint work with Peter Friz.

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