| Presentation | 2012-03-28 Projection-operator method applied to large deviation statistics : dedicated to the late Professor Hazime Mori Syuji MIYAZAKI, Katsuhito MATSUI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Following Fujisaka's basic idea, large deviation statistics characterizing temporal fluctuations are calculated based on Mori's projection-operator method. It is shown that this calculation will overcome the finite-sample effect studied by Nakao et al. due to the finiteness of the length of time series, of the time span of the local average, or of the ensemble of numerical data. The proposed method are compared with direct numerical simulations using analytically solvable chaotic maps, and a much wider range of large deviation is observed far beyond the finite-sample direct numerical simulations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | large deviation statistics / projection operator / rate function / correlation function / local expansion rate |
| Paper # | NLP2011-157 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/3/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Projection-operator method applied to large deviation statistics : dedicated to the late Professor Hazime Mori |
| Sub Title (in English) | |
| Keyword(1) | large deviation statistics |
| Keyword(2) | projection operator |
| Keyword(3) | rate function |
| Keyword(4) | correlation function |
| Keyword(5) | local expansion rate |
| 1st Author's Name | Syuji MIYAZAKI |
| 1st Author's Affiliation | Graduate School of Informatics, Kyoto University() |
| 2nd Author's Name | Katsuhito MATSUI |
| 2nd Author's Affiliation | Graduate School of Informatics, Kyoto University |
| Date | 2012-03-28 |
| Paper # | NLP2011-157 |
| Volume (vol) | vol.111 |
| Number (no) | 498 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |