5 citations · 8 across the 6 of their papers we have counts for
9 papers
Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs
Sumiyoshi Abe, Stefan Thurner
In analogy to superstatistics, which connects Boltzmann-Gibbs statistical mechanics to its generalizations through temperature fluctuations, complex networks are constructed from t…
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…
Scale-invariant statistics of the degrees of separation in directed earthquake network
Sumiyoshi Abe, Norikazu Suzuki
Discovery of a new scale-free law of earthquake phenomenon is reported. It is relevant to the structural and dynamical properties of the earthquake network proposed in a recent wor…
When nonlinear Fokker-Planck equations yield power-law distributions?
Sumiyoshi Abe
This paper has been withdrawn by the author.
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…
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.