4 papers · 1 filter
Small-world structure of earthquake network
Sumiyoshi Abe, Norikazu Suzuki
Discoveries of the scale-free and small-world features are reported on a network constructed from the seismic data. It is shown that the connectivity distribution decays as a power…
Statistical Mechanical Foundations for Systems with Nonexponential Distributions
A. K. Rajagopal, Sumiyoshi Abe
Traditionally the exponential canonical distributions of Gibbsian statistical mechanics are given theoretical justification in at least four different ways: steepest descent method…
Levy distribution in half space based on nonextensive statistical mechanics
A. K. Rajagopal, Sumiyoshi Abe
Probability distributions defined on the half space are known to be quite different from those in the full space. Here, a nonextensive entropic treatment is presented for the half…
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…