Avoided points of two-dimensional random walks

VOL. 87 | 2021 Avoided points of two-dimensional random walks

Chapter Author(s) Yoshihiro Abe

Editor(s) Yuzuru Inahama, Hirofumi Osada, Tomoyuki Shirai

Adv. Stud. Pure Math., 2021: 199-211 (2021) DOI: 10.2969/aspm/08710199

Abstract

This is a review of research on the cover time and avoided points for the two-dimensional simple random walk.

Published: 1 January 2021

First available in Project Euclid: 20 January 2022

Digital Object Identifier: 10.2969/aspm/08710199

Subjects:

Primary: 60J10

Secondary: 60G57 , 60G70 , 60J55

Keywords: Avoided point , Cover time , discrete Gaussian free field , Random interlacement

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Vol. 87 • 1 January 2021

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Mathematical Society of Japan