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ASYMPTOTIC BEHAVIOR OF FLUCTUATION AND DEVIATION FROM LIMIT SYSTEM IN THE SMOLUCHOWSKI-KRAMERS APPROXIMATION FOR SDE
http://hdl.handle.net/10131/5645
http://hdl.handle.net/10131/5645f948d939-f5fd-4cc5-832b-691dd37856e1
名前 / ファイル | ライセンス | アクション |
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YMJ_42_N1_1994_041-076.pdf (2.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | ASYMPTOTIC BEHAVIOR OF FLUCTUATION AND DEVIATION FROM LIMIT SYSTEM IN THE SMOLUCHOWSKI-KRAMERS APPROXIMATION FOR SDE | |||||
言語 | ||||||
言語 | eng | |||||
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 | departmental bulletin paper | |||||
著者 |
Narita, K.
× Narita, K. |
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著者所属 | ||||||
Mathematical Information System Laboratory, Department of Industrial Management and System Science, Faculty of Technology, Kanagawa University, Rokkakubashi Knagawa-ku, Yokohama 221, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Two kinds of the stochastic differential equations of the McKean type are considered. The one contains a large parameter $a>0$ and describes the state of the particle in two dimension by its position and velocity variables, corresponding to the Fokker-Planck equation known as the Kramers equation. Here the phase variables split into the slow position and the fast velocity. The other describes the limit system of the position variable in one dimension as $¥alpha¥rightarrow¥infty$ , corresponding to the Fokker-Planck equation known as the Smoluchowski equation. For the position variable, the limit distributions of the fluctuation and the deviation from the limit system are obtained, with the help of estimates for the rate of decay of the remainder term. For the velocity variable, the limit distributions of the rescaled processes and thestability over an infinite time interval are obtained. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 42, 号 1, p. 41-76, 発行日 1994 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
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 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |