Electronic Journal of Probability

Random walks veering left

Abstract

We study coupled random walks in the plane such that, at each step, the walks change direction by a uniform random angle plus an extra deterministic angle $\theta$. We compute the Hausdorff dimension of the $\theta$ for which the walk has an unusual behavior. This model is related to a study of the spectral measure of some random matrices. The same techniques allow to study the boundary behavior of some Gaussian analytic functions.

Article information

Source
Electron. J. Probab., Volume 18 (2013), paper no. 89, 25 pp.

Dates
Accepted: 21 October 2013
First available in Project Euclid: 4 June 2016

https://projecteuclid.org/euclid.ejp/1465064314

Digital Object Identifier
doi:10.1214/EJP.v18-2523

Mathematical Reviews number (MathSciNet)
MR3126572

Zentralblatt MATH identifier
1296.60117

Rights

Citation

Normand, Raoul; Virág, Bálint. Random walks veering left. Electron. J. Probab. 18 (2013), paper no. 89, 25 pp. doi:10.1214/EJP.v18-2523. https://projecteuclid.org/euclid.ejp/1465064314

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