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Recurrence of once reinforced random walk on the first semi-Sierpinski gasket graph
http://hdl.handle.net/10935/5456
http://hdl.handle.net/10935/5456f37cdfaf-ccb0-4492-879c-83e22dde1b72
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
an10065983v35pp121-130.pdf
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| アイテムタイプ | default_紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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| 公開日 | 2020-06-10 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Recurrence of once reinforced random walk on the first semi-Sierpinski gasket graph | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| 著者 |
三上,いつみ
× 三上,いつみ
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| 内容記述 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | We study once reinforced random walk on Sierpinski gasket graphs. On this probabilistic model a random walker will tend to go along the same edges which the random walker has traversed. Every edge has initially weight 1 and the weight is increased to 1+δ at the first time the edge is traversed, and stays 1 + δ afterward. The random walker chooses the next move from the neighboring vertices with transition probability proportional to the weights. There have been very few results for recurrence of once reinforced random walk on the graph which has circuits. So we define q-th semi-Sierpinski gasket graph (especially we set q = 1 here) and study the recurrence problem on it. In this paper we improve the sufficient condition given in the doctoral thesis (Mikami 2019) for recurrence of once reinforced random walk by introducing three important notions, which are trails, stopping times and compensator associated with once reinforced random walk. We observe in detail the patterns of trails on which the random walker goes along and count up the patterns. And we introduce two stopping times such as s- and s+ to classify whether the edges are traversed or not. Finally we improve the estimate of compensator for martingale by modifying definition of compensator. | |||||||||||
| 言語 | en | |||||||||||
| 書誌情報 |
ja : 人間文化研究科年報 巻 35, p. 121-130, 発行日 2020-03-31 |
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| 出版者 | ||||||||||||
| 出版者 | 奈良女子大学大学院人間文化研究科 | |||||||||||
| 言語 | ja | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 0913-2201 | |||||||||||
| 著者版フラグ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
