Asymptotic behavior of simple random walk on uniform spanning tree and loop-erased random walk.

Seminar series

Stochastic Analysis Internal Seminar

Date

Tue, 31 Oct 2023
11:00

Location

Lecture Room 4, Mathematical Institute

Speaker

Satomi Watanabe

Organisation

Kyoto University

Random walks on random graphs are associated with diffusion in disordered media. In this talk, the graphs of interest are uniform spanning tree (UST) and loop-erased random walk (LERW). First I will demonstrate some asymptotic behavior of the simple random walk on the three-dimensional UST. Next I will discuss annealed transition probability of the simple random walk on high-dimensional LERWs.