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- Hiroki Suyari
- IEEE Transactions on Information Theory
- 2004

Tsallis entropy, one-parameter generalization of Shannon entropy, has been often discussed in statistical physics as a new information measure. This new information measure has provided many… (More)

- Hiroki Suyari, Makoto Tsukada
- IEEE Transactions on Information Theory
- 2005

In order to theoretically explain the ubiquitous existence of power-law behavior such as chaos and fractals in nature, Tsallis entropy has been successfully applied to the generalization of the… (More)

- Hiroki Suyari
- 2006

We present the conclusive mathematical structure behind Tsallis statistics. We obtain mainly the following five theoretical results: (i) the one-to-one correspondence between the q-multinomial… (More)

- Hiroki Suyari
- 2006

The maximum entropy principle in Tsallis statistics is reformulated in the mathematical framework of the q-product, which results in the unique non self-referential q-canonical distribution. As one… (More)

- Hiroki Suyari
- 2004

We present the q-Stirling's formula using the q-product determined by Tsallis entropy as nonextensive generalization of the usual Stirling's formula. The numerical computations and the proof are also… (More)

- Hiroki Suyari
- 2004

In order to explain the ubiquitous existence of power-law behaviors in nature in an unified manner, Tsallis entropy introduced in 1988 has been successfully applied to describing many physical… (More)

- Hiroki Suyari
- IEEE International Symposium on Information…
- 2007

We prove that the generalized Shannon additivity determines a lower bound of average description length for the q-generalized Z3-ary code tree. To clarify our main result, at first it is shown that… (More)

Based on the $\kappa$-deformed functions ($\kappa$-exponential and $\kappa$-logarithm) and associated multiplication operation ($\kappa$-product) introduced by Kaniadakis (Phys. Rev. E \textbf{66}… (More)

We derive the multiplicative duality"q<->1/q"and other typical mathematical structures as the special cases of the (mu,nu,q)-relation behind Tsallis statistics by means of the (mu,nu)-multinomial… (More)

Based on the one-parameter generalization of Shannon-Khinchin (SK) axioms presented by one of the authors, and utilizing a tree-graphical representation, we have further developed the SK Axioms in… (More)