A note on transience of generalized many-dimensional excited random walks
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911773126295552 |
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| author | Alves, Rodrigo B. Iacobelli, Giulio Valle, Glauco |
| author_facet | Alves, Rodrigo B. Iacobelli, Giulio Valle, Glauco |
| contents | We consider a variation of the Generalized Excited Random Walk (GERW) in dimension $d\ge 2$ where the lower bound on the drift for excited jumps is time-dependent and decays to zero. We show that if the lower bound decays slower that $n^{-β}$ ($n$ is time), for $β$ depending on the transitions of the process, the GERW is transient in the direction of the drift. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_05715 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on transience of generalized many-dimensional excited random walks Alves, Rodrigo B. Iacobelli, Giulio Valle, Glauco Probability We consider a variation of the Generalized Excited Random Walk (GERW) in dimension $d\ge 2$ where the lower bound on the drift for excited jumps is time-dependent and decays to zero. We show that if the lower bound decays slower that $n^{-β}$ ($n$ is time), for $β$ depending on the transitions of the process, the GERW is transient in the direction of the drift. |
| title | A note on transience of generalized many-dimensional excited random walks |
| topic | Probability |
| url | https://arxiv.org/abs/2211.05715 |