A simple proof of the DPRZ theorem for 2d cover times

Citation
A. Schmidt, Marius, A simple proof of the DPRZ theorem for 2d cover times, Annals of probability (Online) , 48(1), 2020, pp. 445-457
ISSN journal
2168894X
Volume
48
Issue
1
Year of publication
2020
Pages
445 - 457
Database
ACNP
SICI code
Abstract
We give a simple proof of the theorem by Dembo, Peres, Rosen and Zeitouni (DPRZ) regarding the time Brownian motion needs to cover every . ball on the two-dimensional unit torus in the ..0 limit.