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Large Deviation Principle for the Pinned Motion of Random Walks
http://hdl.handle.net/2261/59033
http://hdl.handle.net/2261/5903305fe6c55-a8a1-407a-92fb-5f87a7cb5921
名前 / ファイル | ライセンス | アクション |
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jms190408.pdf (160.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Large Deviation Principle for the Pinned Motion of Random Walks | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Chiyonobu, Taizo
× Chiyonobu, Taizo× Ichihara, Kanji |
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著者所属 | ||||||
著者所属 | Department of Mathematical Science, School of Science, Kwansei Gakuin University | |||||
著者所属 | ||||||
著者所属 | Department of Mathematics, Faculty of Science and Technology, Meijo University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The large deviation principle is proved for the long time asymptotic of empirical measures associated with the pinned motions of random walks on the square lattice. Random walks are not reversible Markov chains in general, and thus nice property such as the Gaussian bounds on the transition probabilities, which was one of the key tools for proving the large deviations for periodic and reversible Markov chains in [1], are no longer available. For this reason the spectral radius of transition probabilities of random walk comes into play. With the help of Salvatori’s theorem, a sufficient condition is given so that the spectral radius is held to be equal to 1 by certain gauge transform of the transition probabilities, and then the large deviation will be proved under the condition. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 4, p. 677-697, 発行日 2013-03-15 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
60F10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
60G50(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
60B12(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2012-08-24 |