Abstract:
I will review some recent developments on two self-interacting processes, the Edge-Reinforced Random Walk (ERRW) and the Vertex Reinforced Random Walk (VRJP), and explain their relation with some random Schrödinger operators. I will also give a glimpse of recent non-reversible generalizations of the ERRW and the VRJP. Based on joint works (or work in progress) with Pierre Tarrès, X. Zeng, and S. Baccalado.
Biography:
Christophe Sabot has been Professor at Université Claude Bernard Lyon 1 since 2006. His main research interests concern random walks (self-interacting random walks, random walks in random environment, random walk local times, diffusions on fractals) and spectral properties (random Schrödinger operators, spectral properties of self-similar sets).
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai