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arXiv · 1501.00466

Some limit theorems for heights of random walks on spider

Endre Csáki·Miklós Csörgő·Antonia Földes·Pál Révész
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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 $n$ steps. The heights on the legs are also investigated when the number of legs goes to infinity.

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Endre Csáki, Miklós Csörgő, Antonia Földes, Pál Révész. 2015-07-01. Some limit theorems for heights of random walks on spider. https://arxiv.org/abs/1501.00466

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