Some results and problems for anisotropic random walks on the plane

Endre Csáki, Antónia Földes, Pál Révész

Published 2015-01-13Version 1

This is an expository paper on the asymptotic results concerning path behaviour of the anisotropic random walk on the two-dimensional square lattice Z^2. In recent years Mikl\'os and the authors of the present paper investigated the properties of this random walk concerning strong approximations, local times and range. We give a survey of these results together with some further problems.