205 citations · 3.3k across the 120 of their papers we have counts for
9 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…
When nonlinear Fokker-Planck equations yield power-law distributions?
Sumiyoshi Abe
This paper has been withdrawn by the author.
Dilatation symmetry of the Fokker-Planck equation and anomalous diffusion
Sumiyoshi Abe
Based on the canonical formalism, the dilatation symmetry is implemented to the Fokker-Planck equation for the Wigner distribution function that describes atomic motion in an optic…
Aging and scaling of aftershocks
Sumiyoshi Abe, Norikazu Suzuki
A part of the seismic time series, in which the Omori law for temporal pattern of aftershocks holds, is refereed to as the Omori regime. Here the properties of correlation between…
Geometry of escort distributions
Sumiyoshi Abe
Given an original distribution, its statistical and probabilistic attributs may be scanned by the associated escort distribution introduced by Beck and Schlogl and employed in the…
Validity of the second law in nonextensive quantum thermodynamics
Sumiyoshi Abe, A. K. Rajagopal
The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy…