153 citations · 1.3k across the 54 of their papers we have counts for
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On the definition of equilibrium and non-equilibrium states in dynamical systems
Takuma Akimoto
We propose a definition of equilibrium and non-equilibrium states in dynamical systems on the basis of the time average. We show numerically that there exists a non-equilibrium non…
The Weibull - log Weibull transition of interoccurrence times for synthetic and natural earthquakes
Tomohiro Hasumi, Chien-chih Chen, Takuma Akimoto +1
We have studied interoccurrence time distributions by analyzing the synthetic and three natural catalogs of the Japan Meteorological Agency (JMA), the Southern California Earthquak…
The Weibull - Log Weibull Distribution for Interoccurrence Times of Earthquakes
Tomohiro Hasumi, Takuma Akimoto, Yoji Aizawa
By analyzing the Japan Meteorological Agency (JMA) seismic catalog for different tectonic settings, we have found that the probability distributions of time intervals between succe…
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
Takuma Akimoto
Limit theorems for the time average of some observation functions in an infinite measure dynamical system are studied. It is known that intermittent phenomena, such as the Rayleigh…