205 citations · 3.3k across the 120 of their papers we have counts for
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Generalized entropy optimized by an arbitrary distribution
Sumiyoshi Abe
We construct the generalized entropy optimized by a given arbitrary statistical distribution with a finite linear expectation value of a random quantity of interest. This offers, v…
Scale-Free Network of Earthquakes
Sumiyoshi Abe, Norikazu Suzuki
The district of southern California and Japan are divided into small cubic cells, each of which is regarded as a vertex of a graph if earthquakes occur therein. Two successive eart…
Law for the distance between successive earthquakes
Sumiyoshi Abe, Norikazu Suzuki
Discovery of a new law for three dimensional spatial distance between the foci of successive earthquakes is reported. Analyzing the seismic data taken between 1984 and 2001 in sout…
Zipf-Mandelbrot Law for Time Intervals of Earthquakes
Sumiyoshi Abe, Norikazu Suzuki
The statistical properties of the seismic time series data in southern California are studies. In particular, the calm time intervals, which are the time intervals between successi…
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.
Aspects of the Second Law of Thermodynamics from Quantum Statistical Mechanics to Quantum Information Theory
A. K. Rajagopal, R. W. Rendell, Sumiyoshi Abe
The Kullback-Leibler inequality is a way of comparing any two density matrices. A technique to set up the density matrix for a physical system is to use the maximum entropy princip…