Annals of Probability

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

Marius A. Schmidt

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 $\varepsilon$ ball on the two-dimensional unit torus in the $\varepsilon\searrow 0$ limit.

Article information

Source
Ann. Probab., Volume 48, Number 1 (2020), 445-457.

Dates
Revised: February 2019
First available in Project Euclid: 25 March 2020

https://projecteuclid.org/euclid.aop/1585123334

Digital Object Identifier
doi:10.1214/19-AOP1366

Mathematical Reviews number (MathSciNet)
MR4079442

Zentralblatt MATH identifier
07206764

Citation

Schmidt, Marius A. A simple proof of the DPRZ theorem for 2d cover times. Ann. Probab. 48 (2020), no. 1, 445--457. doi:10.1214/19-AOP1366. https://projecteuclid.org/euclid.aop/1585123334

References

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