Capacity of the range of random walk on $\mathbb{Z}^d$
Probability
2016-02-11 v1
Abstract
We study the capacity of the range of a transient simple random walk on . Our main result is a central limit theorem for the capacity of the range for . We present a few open questions in lower dimensions.
Keywords
Cite
@article{arxiv.1602.03499,
title = {Capacity of the range of random walk on $\mathbb{Z}^d$},
author = {Amine Asselah and Bruno Schapira and Perla Sousi},
journal= {arXiv preprint arXiv:1602.03499},
year = {2016}
}