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Senile reinforced random walks
| Title: | Senile reinforced random walks |
| Authors: | Holmes, M. Browse this author | | Sakai, A. Browse this author →KAKEN DB |
| Keywords: | Random walk | | Reinforcement | | Recurrence/transience | | Diffusion constant |
| Issue Date: | 2007 |
| Publisher: | Elsevier |
| Journal Title: | Stochastic Processes and their Applications |
| Volume: | 117 |
| Issue: | 10 |
| Start Page: | 1519 |
| End Page: | 1539 |
| Publisher DOI: | 10.1016/j.spa.2007.02.003 |
| Abstract: | We consider random walks with transition probabilities depending on the number of consecutive traversals n of the edge most recently traversed. Such walks may get stuck on a single edge, or have every vertex recurrent or every vertex transient, depending on the reinforcement function f(n) that characterizes the model. We prove recurrence/transience results when the walk does not get stuck on a single edge. We also show that the diffusion constant need not be monotone in the reinforcement. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/44915 |
| Appears in Collections: | 創成研究機構 (Creative Research Institution) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂井 哲
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