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タイトル: | Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model |
著者: | BOUKHADRA, Omar KUMAGAI, Takashi https://orcid.org/0000-0001-7515-1055 (unconfirmed) MATHIEU, Pierre |
著者名の別形: | 熊谷, 隆 |
発行日: | Oct-2015 |
出版者: | Mathematical Society of Japan |
誌名: | Journal of the Mathematical Society of Japan |
巻: | 67 |
号: | 4 |
開始ページ: | 1413 |
終了ページ: | 1448 |
抄録: | We prove upper bounds on the transition probabilities of random walks with i.i.d. random conductances with a polynomial lower tail near 0. We consider both constant and variable speed models. Our estimates are sharp. As a consequence, we derive local central limit theorems, parabolic Harnack inequalities and Gaussian bounds for the heat kernel. Some of the arguments are robust and applicable for random walks on general graphs. Such results are stated under a general setting. |
著作権等: | © 2015 The Mathematical Society of Japan The full-text file will be made open to the public on 1 October 2018 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. |
URI: | http://hdl.handle.net/2433/207508 |
DOI(出版社版): | 10.2969/jmsj/06741413 |
出現コレクション: | 学術雑誌掲載論文等 |
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