Non-Poisson distribution of the time distances between two consecutive clusters of earthquakes

TL;DR

This paper demonstrates that the time intervals between earthquake clusters do not follow a Poisson distribution, using the Diffusion Entropy technique and providing an analytical proof of previous numerical findings.

Contribution

It introduces a novel application of the Diffusion Entropy method to analyze earthquake clustering, proving non-Poissonian statistics analytically.

Findings

Time distances between earthquake clusters are non-Poissonian.

Diffusion Entropy technique effectively detects non-Poisson statistics.

Analytical proof supports previous numerical results.

Abstract

With the help of the Diffusion Entropy technique we show the non-Poisson statistics of the distances between consecutive Omori's swarms of earthquakes. We give an analytical proof of the numerical results of an earlier paper [cond-mat/0212529, Mega et al., Phys. Rev. Lett. 90 (2003) 188501]