@article{EJP2523,
author = {Raoul Normand and Bálint Virág},
title = {Random walks veering left},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {18},
year = {2013},
keywords = {Random walk ; Hausdorff dimension ; coupling ; random matrix ; Gaussian analytic function},
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.
},
pages = {no. 89, 1-25},
issn = {1083-6489},
doi = {10.1214/EJP.v18-2523},
url = {http://ejp.ejpecp.org/article/view/2523}}