29 citations · 44 across the 4 of their papers we have counts for
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cond-mat.stat-mech2003★ 29 cited
Generalized statistics: yet another generalization
Petr Jizba, Toshihico Arimitsu
We provide a unifying axiomatics for Renyi's entropy and non-extensive entropy of Tsallis. It is shown that the resulting entropy coincides with Csiszar's measure of directed diver…
cond-mat.stat-mech2002★ 13 cited
The world according to Renyi: Thermodynamics of multifractal systems
Petr Jizba, Toshihico Arimitsu
We discuss basic statistical properties of systems with multifractal structure. This is possible by extending the notion of the usual Gibbs--Shannon entropy into more general frame…
cond-mat.stat-mech2002
Analysis of accelerations in turbulence based on generalizaed statistics
Toshihico Arimitsu, Naoko Arimitsu
An analytical expression of probability density function (PDF) of accelerations in turbulence is derived with the help of the multifractal analysis based on generalized entropy, i.…