Satomi Watanabe

activity

20222026

collaborators

4 papers

math.PR2026

Collision properties of the four-dimensional random walk trace

David A. Croydon, Daisuke Shiraishi, Satomi Watanabe

We consider collisions of multiple random walks on the trace of a simple random walk on the four-dimensional integer lattice. For two independent walks (in continuous time), we app…

math.PR2026

Largest-loop-first loop-erased random walk on $Z^{4}$

Daisuke Shiraishi, Satomi Watanabe

Let $S = (S (n))$ be a simple random walk on $Z^{d}$ started at the origin. We study a loop-erasing procedure of $S [0, n]$ that differs from Lawler's chronological loop-eras…

math.PR2023

Infinite collision property for the three-dimensional uniform spanning tree

Satomi Watanabe

Let $U$ be the uniform spanning tree on $Z^{3}$ , whose probability law is denoted by $P$ . For $P$ -a.s. realization of $U$ , the recurren…

math.PR2022

Volume and heat kernel fluctuations for the three-dimensional uniform spanning tree

Daisuke Shiraishi, Satomi Watanabe

Let $U$ be the uniform spanning tree on $Z^{3}$ . We show the occurrence of log-logarithmic fluctuations around the leading order for the volume of intrinsic ball…

Collision properties of the four-dimensional random walk trace

Largest-loop-first loop-erased random walk on Z4

Infinite collision property for the three-dimensional uniform spanning tree

Volume and heat kernel fluctuations for the three-dimensional uniform spanning tree

Largest-loop-first loop-erased random walk on $Z^{4}$