Angular asymptotics for random walks
Probability
2022-01-06 v2
Abstract
We study the set of directions asymptotically explored by a spatially homogeneous random walk in -dimensional Euclidean space. We survey some pertinent results of Kesten and Erickson, make some further observations, and present some examples. We also explore links to the asymptotics of one-dimensional projections, and to the growth of the convex hull of the random walk.
Cite
@article{arxiv.2003.08108,
title = {Angular asymptotics for random walks},
author = {Alejandro López Hernández and Andrew R. Wade},
journal= {arXiv preprint arXiv:2003.08108},
year = {2022}
}
Comments
24 pages; v2: minor revisions