Maximum occupation time of a transient excited random walk on Z

Reza Rastegar; Alexander Roitershtein

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arXiv · 1111.1254

Maximum occupation time of a transient excited random walk on Z

Reza Rastegar·Alexander Roitershtein

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Abstract

We consider a transient excited random walk on $Z$ and study the asymptotic behavior of the occupation time of a currently most visited site. In particular, our results imply that, in contrast to the random walks in random environment, a transient excited random walk does not spend an asymptotically positive fraction of time at its favorite (most visited up to a date) sites.

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Reza Rastegar, Alexander Roitershtein. 2011-11-04. Maximum occupation time of a transient excited random walk on Z. https://arxiv.org/abs/1111.1254

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