5 citations · 8 across the 6 of their papers we have counts for
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Constraints and relative entropies in nonextensive statistical mechanics
Sumiyoshi Abe, G. B. Bagci
In nonextensive statistical mechanics, two kinds of definitions have been considered for expectation valu of a physical quantity: one is the ordinary definition and the other is th…
When nonlinear Fokker-Planck equations yield power-law distributions?
Sumiyoshi Abe
This paper has been withdrawn by the author.
Time Interval Distribution of Earthquakes
Sumiyoshi Abe, Norikazu Suzuki
The statistical properties of time intervals between significant earthquakes are found to be described by the Zipf-Mandelbrot-Tsallis-type distribution.
Heat and generalized Clausius entropy of nonextensive systems
Sumiyoshi Abe
Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical tempe…
Properties of convergence of nonextensive statistical distribution to the Levy distribution
Sumiyoshi Abe, A. K. Rajagopal
It is shown that the distribution derived from the principle of maximum Tsallis entropy is a superposable Levy-type distribution. Concomitantly, the leading order correction to the…