Random walk on uniform spanning tree and loop-erased random walk

par Satomi Watanabe

jeudi 14 mars 2024, 14:00 → 15:00 Europe/Paris

435 (ENS)

Random walks on random graphs are associated with diffusion phenomena in disordered media. This talk focuses on the simple random walk on uniform spanning trees (UST) and loop-erased random walks (LERW). The first two results are a quantitative estimate of the number of collisions and heat kernel fluctuations for the simple random walk on the three-dimensional UST. Next, I will discuss the annealed off-diagonal heat kernel of the simple random walk on high-dimensional LERWs.