Y. Abe

activity

20172025

collaborators

4 papers

math.PR2025

Extremal process of the local time of simple random walk on a regular tree

Yoshihiro Abe, Marek Biskup

We study a continuous-time simple random walk on a regular rooted tree of depth $n$ in two settings: either the walk is started from a leaf vertex and run until the tree root is fi…

math.PR2019

Exceptional points of discrete-time random walks in planar domains

Yoshihiro Abe, Marek Biskup, Sangchul Lee

Given a sequence of lattice approximations $D_{N} \subset Z^{2}$ of a bounded continuum domain $D \subset R^{2}$ with the vertices outside $D_{N}$ fused together into one bound…

math.PR2019

Exceptional points of two-dimensional random walks at multiples of the cover time

Yoshihiro Abe, Marek Biskup

We study exceptional sets of the local time of the continuous-time simple random walk in scaled-up (by $N$ ) versions $D_{N} \subseteq Z^{2}$ of bounded open domains $D\subseteq…

math.PR2017

Second order term of cover time for planar simple random walk

Yoshihiro Abe

We consider the cover time for a simple random walk on the two-dimensional discrete torus of side length $n$ . Dembo, Peres, Rosen, and Zeitouni [Ann. Math. 160:433-464, 2004] ident…