The dimension of the range of a transient random walk
Probability
2014-11-03 v1
Abstract
We find formulas for the macroscopic Minkowski and Hausdorff dimensions of the range of an arbitrary transient walk in Z^d. This endeavor solves a problem of Barlow and Taylor (1991).
Keywords
Cite
@article{arxiv.1410.8582,
title = {The dimension of the range of a transient random walk},
author = {Nicos Georgiou and Davar Khoshnevisan and Kunwoo Kim and Alex D. Ramos},
journal= {arXiv preprint arXiv:1410.8582},
year = {2014}
}
Comments
37 pages, 5 figures