English

Random walks veering left

Probability 2015-09-25 v1

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.

Keywords

Cite

@article{arxiv.1212.6090,
  title  = {Random walks veering left},
  author = {Raoul Normand and Bálint Virág},
  journal= {arXiv preprint arXiv:1212.6090},
  year   = {2015}
}

Comments

23 pages, 1 figure

R2 v1 2026-06-21T23:00:09.649Z