71 citations · 246 across the 18 of their papers we have counts for
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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…
On observability of Renyi's entropy
Petr Jizba, Toshihico Arimitsu
Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies…
Multifractal Analysis of Various PDF in Turbulence based on Generalized Statistics: A Way to Tangles in Superfluid He
Toshihico Arimitsu, Naoko Arimitsu
By means of the multifractal analysis (MFA), the expressions of the probability density functions (PDFs) are unified in a compact analytical formula which is valid for various quan…
Quantum stochastic differential equations for boson and fermion systems -- Method of Non-Equilibrium Thermo Field Dynamics
A. E. Kobryn, T. Hayashi, T. Arimitsu
A unified canonical operator formalism for quantum stochastic differential equations, including the quantum stochastic Liouville equation and the quantum Langevin equation both of…
Multifractal Analysis of Various Probability Density Functions in Turbulence
Toshihico Arimitsu, Naoko Arimitsu
The probability density functions measured by Lewis and Swinney for turbulent Couette-Taylor flow, observed by Bodenschatz and co-workers in the Lagrangian measurement of particle…