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ナンバ リュウヤ
RYUYA NAMBA
難波 隆弥 所属 京都産業大学 理学部 数理科学科 職種 准教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2021/01 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth |
| 執筆形態 | その他 |
| 掲載誌名 | Forum Mathematicum |
| 出版社・発行元 | Walter de Gruyter GmbH |
| 巻・号・頁 | 33(1),pp.129-145 |
| 担当区分 | 責任著者 |
| 著者・共著者 | Ryuya Namba |
| 概要 | <title>Abstract</title>
Moderate deviation principles (MDPs) for random walks on covering graphs with groups of polynomial volume growth are discussed in a geometric point of view. They deal with any intermediate spatial scalings between those of laws of large numbers and those of central limit theorems. The corresponding rate functions are given by quadratic forms determined by the Albanese metric associated with the given random walks. We apply MDPs to establish laws of the iterated logarithm on the covering graphs by characterizing the set of all limit points of the normalized random walks. |
| DOI | 10.1515/forum-2020-0070 |
| ISSN | 0933-7741/1435-5337 |
| PermalinkURL | https://www.degruyter.com/view/journals/form/33/1/article-p129.xml |
| researchmap用URL | https://www.degruyter.com/document/doi/10.1515/forum-2020-0070/xml |