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 θ. We compute the Hausdorff dimension of the θfor which the walk has an unusual behavior. This model is related to a study of the spectral measure of some random matrices.

23 pages, 1 figure

References in corpus (2)

• Matrix models for circular ensembles
• The top eigenvalue of the random Toeplitz matrix and the sine kernel