2009 Fiscal Year Final Research Report
Elucidation of information structure exhibiting power-law distribution in the mathematical framework of generalized entropies
| Project/Area Number |
18300003
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Chiba University |
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Principal Investigator |
SUYARI Hiroki Chiba University, 大学院・融合科学研究科, 准教授 (70246685)
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| Co-Investigator(Kenkyū-buntansha) |
WADA Tatsuaki 茨城大学, 工学部, 准教授 (00240549)
YANAGI Kenjiro 山口大学, 大学院・理工学研究科, 教授 (90108267)
FURUICHI Shigeru 日本大学, 文理学部, 准教授 (50299327)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUKADA Makoto 東邦大学, 理学部, 教授 (10120198)
UESAKA Yoshinori 山梨英和大学, 人間文化学部, 教授 (40019782)
ABE Sumiyoshi 三重大学, 大学院・工学研究科, 教授 (70184215)
OHARA Atsumi 大阪大学, 基礎工学研究科, 准教授 (90221168)
FIEMMING Topsoe コペンハーゲン大, 数学科, 名誉教授
CONSTANTINO Tsallis ブラジル物理学研究センター, 教授
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| Project Period (FY) |
2006 – 2009
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| Keywords | 一般化エントロピー / 一般化指数関数 / ベキ分布 / スケーリング則 / Tsallisエントロピー / 情報幾何 |
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| Research Abstract |
The fundamental quantity in statistical mechanics and information theory based on the probability theory is "entropy" , where the underlying mathematical structure is "stochastic independence and exponential family". As its generalization, we elucidate "scaling dependence and generalized exponential family" through some generalized entropies. In particular, the novel algebraic and geometric structures are revealed through our studies, which is found to generate power-law distribution.
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