Presentation 2001/9/7
On General Axioms and their Uniqueness Theorems for Tsallis Entropy
Hiroki SUYARI,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Since the first proposal of the Tsallis entropy in 1988, there have been already many successful studies to explain the physical phenomena such as long-range interactions, long-time memories and multi-fractal structures. However, in spite of these many successful studies, there still remain some ambiguities in its foundation. In the present paper, the general axioms of the Tsallis entropy are presented as an extension of Shannon-Khinchin axioms and its uniqueness theorem is proved.
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Keyword(in English) Tsallis entropy / Shannon entropy / Shannon-Khinchin axioms
Paper # IT2001-40
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Committee IT
Conference Date 2001/9/7(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On General Axioms and their Uniqueness Theorems for Tsallis Entropy
Sub Title (in English)
Keyword(1) Tsallis entropy
Keyword(2) Shannon entropy
Keyword(3) Shannon-Khinchin axioms
1st Author's Name Hiroki SUYARI
1st Author's Affiliation Department of Information and Image Sciences()
Date 2001/9/7
Paper # IT2001-40
Volume (vol) vol.101
Number (no) 304
Page pp.pp.-
#Pages 6
Date of Issue