205 citations · 3.3k across the 120 of their papers we have counts for
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Reply to Comments on "Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions"
Sumiyoshi Abe
Bashkirov's comments (cond-mat/0410667) on the paper [S. Abe, Phys. Rev. E 66, 046134 (2002)] are all refuted. In addition, it is discussed that the Renyi entropy is irrelevant to…
Anomalous Diffusion in View of Einstein's 1905 Theory of Brownian Motion
Sumiyoshi Abe, Stefan Thurner
Einstein's theory of Brownian motion is revisited in order to formulate generalized kinetic theory of anomalous diffusion. It is shown that if the assumptions of analyticity and th…
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 statistics of time interval between successive earthquakes
Sumiyoshi Abe, Norikazu Suzuki
The statistical property of the calm times, i.e., time intervals between successive earthquakes with arbitrary values of magnitude, is studied by analyzing the seismic time series…
Aging in coherent noise models and natural time
Ugur Tirnakli, Sumiyoshi Abe
Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It i…
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…