How Tall Can Be the Excursions of a Random Walk on a Spider
Probability
2014-02-25 v1
Abstract
We consider a simple symmetric random walk on a spider, that is a collection of half lines (we call them legs) joined at the origin. Our main question is the following: if the walker makes steps how high can he go up on all legs. This problem is discussed in two different situations; when the number of legs are increasing, as goes to infinity and when it is fixed.
Cite
@article{arxiv.1402.5682,
title = {How Tall Can Be the Excursions of a Random Walk on a Spider},
author = {Antonia Foldes and Pal Revesz},
journal= {arXiv preprint arXiv:1402.5682},
year = {2014}
}
Comments
14 pages