Maximum occupation time of a transient excited random walk on Z
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910255716237312 |
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| author | Rastegar, Reza Roitershtein, Alexander |
| author_facet | Rastegar, Reza Roitershtein, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1111_1254 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Maximum occupation time of a transient excited random walk on Z Rastegar, Reza Roitershtein, Alexander Probability 60K35, 60K37, 60J80 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. |
| title | Maximum occupation time of a transient excited random walk on Z |
| topic | Probability 60K35, 60K37, 60J80 |
| url | https://arxiv.org/abs/1111.1254 |