205 citations · 3.3k across the 120 of their papers we have counts for
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Hamiltonian formulation of fractional kinetics
Sumiyoshi Abe
Fractional kinetic theory plays a vital role in describing anomalous diffusion in terms of complex dynamics generating semi-Markovian processes. Recently, the variational principle…
Complex earthquake networks: Hierarchical organization and assortative mixing
Sumiyoshi Abe, Norikazu Suzuki
To characterize the dynamical features of seismicity as a complex phenomenon, the seismic data is mapped to a growing random graph, which is a small-world scale-free network. Here,…
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…
Scale-invariant statistics of period in directed earthquake network
Sumiyoshi Abe, Norikazu Suzuki
A new law regarding structure of the earthquake networks is found. The seismic data taken in California is mapped to a growing directed network. Then, statistics of period in the n…
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…