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j.spa.2018.02.011.pdf | 269.55 kB | Adobe PDF | 見る/開く |
タイトル: | Quenched tail estimate for the random walk in random scenery and in random layered conductance |
著者: | Deuschel, Jean-Dominique Fukushima, Ryoki https://orcid.org/0000-0002-7582-6793 (unconfirmed) |
著者名の別形: | 福島, 竜輝 |
キーワード: | Random walk Random scenery Tail estimate Moderate deviation Large deviation Random conductance model Layered media |
発行日: | Jan-2019 |
出版者: | Elsevier BV |
誌名: | Stochastic Processes and their Applications |
巻: | 129 |
号: | 1 |
開始ページ: | 102 |
終了ページ: | 128 |
抄録: | We discuss the quenched tail estimates for the random walk in random scenery. The random walk is the symmetric nearest neighbor walk and the random scenery is assumed to be independent and identically distributed, non-negative, and has a power law tail. We identify the long time asymptotics of the upper deviation probability of the random walk in quenched random scenery, depending on the tail of scenery distribution and the amount of the deviation. The result is in turn applied to the tail estimates for a random walk in random conductance which has a layered structure. |
著作権等: | © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ The full-text file will be made open to the public on 1 January 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/241736 |
DOI(出版社版): | 10.1016/j.spa.2018.02.011 |
出現コレクション: | 学術雑誌掲載論文等 |
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