| Project/Area Number |
61460004
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| Research Category |
Grant-in-Aid for General Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
OKABE YASUNORI HOKKAIDO UNIVERSITY, FACLTY OF SCIENCE, FULL PROFESSOR, 理学部, 教授 (30028211)
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| Co-Investigator(Kenkyū-buntansha) |
INOUE AKIHIKO HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, ASSISTANT PROFESSOR, 理学部, 助手 (50168431)
ARAI ASAO HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, LECTURER, 理学部, 講師 (80134807)
MITOMA ITARU HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, ASSOCIATE PROFESSOR, 理学部, 助教授 (40112289)
AGEMI RENTARO HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, FULL PROFESSOR, 理学部, 教授 (10000845)
KOSHI SHOZO HOKKAIDO UNIVERSITY, FACULTY OF SCIENCE, FULL PROFESSOR, 理学部, 教授 (40032792)
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| Project Period (FY) |
1986 – 1987
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| Project Status |
Completed (Fiscal Year 1987)
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| Budget Amount *help |
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1987: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1986: ¥2,300,000 (Direct Cost: ¥2,300,000)
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| Keywords | KMO-Langevin equation / White noise / Kubo noise / Einstein relation / Diffusion coefficient / Fluctuation-sissipation theorem / エントロピーレート / Einstein関係式 / エントロピー規準 |
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| Research Abstract |
CONTRAST TO CONTINUOUS CASE, EINSTEIN RELATION DEVIATES FROM THE CLASSICAL EINSTEIN ONE FOR MARKOV TIME SERIES, BASED ON BOTH KMO- LANGEVIN EQUATION WITH WHITE OR KUBO NOISE DESCRIBING THE TIME EVOLUTION OF DISCRETE TIME SERIES HAVING T-POSITIVITY. IN ORDER TO MAKE A DIFFERENCE BETWEEN BOTH NOISES CLEAR, ENTROPY RATES FOR WHITE OR KUBO NOISES WERE CALCULATED.
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