Some limit theorems for heights of random walks on spider
Probability
2015-07-02 v2
Abstract
A simple symmetric random walk is considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We establish a strong approximation of this random walk by the so-called Brownian spider. Transition probabilities are studied, and for a fixed number of legs we investigate how high the walker can go on the legs in steps. The heights on the legs are also investigated when the number of legs goes to infinity.
Keywords
Cite
@article{arxiv.1501.00466,
title = {Some limit theorems for heights of random walks on spider},
author = {Endre Csáki and Miklós Csörgő and Antonia Földes and Pál Révész},
journal= {arXiv preprint arXiv:1501.00466},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1402.5682