Speaker: Takashi Kumagai

Title: On gradient estimates of the heat kernel for random walks in time-dependent random environments

Abstract: We consider a random walk among time-dependent random conductances. In recent years the long-time behavior of this model under diffusive rescaling has been intensively studied, and it is well understood. In this talk, we will discuss how to obtain first and second space derivatives of the annealed transition density. We use entropy estimates that has been developed in the time-independent setting by Benjamini, Duminil-Copin, Kozma and Yadin (2016). 

This is a joint work with J-D. Deuschel (Berlin) and  M. Slowik (Mannheim).