57 citations · 99 across the 9 of their papers we have counts for
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Multiplicative duality, q-triplet and (mu,nu,q)-relation derived from the one-to-one correspondence between the (mu,nu)-multinomial coefficient and Tsallis entropy Sq
Hiroki Suyari, Tatsuaki Wada
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 (m…
Scaling property and the generalized entropy uniquely determined by a fundamental nonlinear differential equation
Hiroki Suyari, Tatsuaki Wada
We derive a scaling property from a fundamental nonlinear differential equation whose solution is the so-called q-exponential function. A scaling property has been believed to be g…
A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem
Tatsuaki Wada, Hiroki Suyari
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…
-generalization of Stirling approximation and multinominal coefficients
T. Wada, H. Suyari
Stirling approximation of the factorials and multinominal coefficients are generalized based on the one-parameter () deformed functions introduced by Kaniadakis [Phys. Rev. E \t…
The unique non self-referential q-canonical distribution and the physical temperature derived from the maximum entropy principle in Tsallis statistics
Hiroki Suyari
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 dis…
Law of Error in Tsallis Statistics
Hiroki Suyari, Makoto Tsukada
Gauss' law of error is generalized in Tsallis statistics such as multifractal systems, in which Tsallis entropy plays an essential role instead of Shannon entropy. For the generali…