2012/10/26 by Mariusz Bialecki, Mariusz Białecki, Bialecki, Mariusz
Economics, Econometrics and Finance · Physics and Astronomy · #Cellular Automata and Lattice Gases (nlin.CG) #Complex Systems and Time Series Analysis #Data Analysis #FOS: Physical sciences #Geophysics (physics.geo-ph) #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Statistics and Probability (physics.data-an) #cond-mat.stat-mech #nlin.CG #physics.data-an #physics.geo-ph
paper · pdf · doi:10.48550/arxiv.1210.7142
arxiv created 2012/10/26 · openalex publication_date 2012/10/26 · arxiv updated 2012/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents an explanation of a possible mechanism underlying the shape of the universal curve of Scaling Law for Earthquake Recurrence Time Distributions. The presented simple stochastic cellular automaton model is reproducing the gamma distribution fit with the proper value of the parameter γ characterizing Earth's seismicity and also imitates a deviation from the fit at the short interevent times, as observed in real data. Thus the model suggests an explanation of the universal pattern of rescaled Earthquake Recurrence Time Distributions in terms of combinatorial rules for accumulation and abrupt release of seismic energy.