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Entropy Analysis of a Nearest-Neighbor Attractive/Repulsive Exclusion Process on One-Dimensional Lattices
http://hdl.handle.net/10076/10452
http://hdl.handle.net/10076/10452bbd710c0-f8e6-4d0c-84ec-f1aaeb6983b9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
20A12918.pdf (1.8 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2010-01-27 | |||||||
| タイトル | ||||||||
| タイトル | Entropy Analysis of a Nearest-Neighbor Attractive/Repulsive Exclusion Process on One-Dimensional Lattices | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Exclusion Process | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | interacting particle systems | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Markov process | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | stationary measures | |||||||
| 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 | journal article | |||||||
| 著者 |
Yaguchi, Hirotake
× Yaguchi, Hirotake
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| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | Stationary measures for an interactive exclusion process on ℤ are considered. The process is such that the jump rate of each particle to the empty neighboring site is α > 0 (resp., β > 0) when another neighboring site is occupied (resp., unoccupied) by a particle, and that α ≠ β. According as α < β or α > β the process becomes nearest-neighbor attractive or repulsive, respectively. The method of relative entropy is used to determine the family ℳβ/α of stationary measures. The member of ℳγ is simply described as the probability measure having the regular clustering property which is a generalization of the exchangeable property of measures. It is shown that extremal points of ℳγ are renewal measures. Thus the structure of stationary measures for the process is completely determined. | |||||||
| 書誌情報 |
The Annals of Probability 巻 18, 号 2, p. 556-580, 発行日 1990-04-01 |
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| ISSN | ||||||||
| 収録物識別子タイプ | PISSN | |||||||
| 収録物識別子 | 0091-1798 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00051798 | |||||||
| フォーマット | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | application/pdf | |||||||
| 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 | |||||||
| 日本十進分類法 | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 410 | |||||||
| 出版者 | ||||||||
| 出版者 | Institute of Mathematical Statistics | |||||||
| 関係URI | ||||||||
| 関連名称 | http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aop/1176990845 | |||||||
| ノート | ||||||||
| 値 | 出版者版電子ジャーナルあり | |||||||
| 資源タイプ（三重大） | ||||||||
| 値 | Journal Article / 学術雑誌論文 | |||||||
