@article{ref1,
title="Self-similar aftershock rates",
journal="Physical review. E",
year="2016",
author="Davidsen, Jörn and Baiesi, Marco",
volume="94",
number="2-1",
pages="e022314-e022314",
abstract="In many important systems exhibiting crackling noise-an intermittent avalanchelike relaxation response with power-law and, thus, self-similar distributed event sizes-the &quot;laws&quot; for the rate of activity after large events are not consistent with the overall self-similar behavior expected on theoretical grounds. This is particularly true for the case of seismicity, and a satisfying solution to this paradox has remained outstanding. Here, we propose a generalized description of the aftershock rates which is both self-similar and consistent with all other known self-similar features. Comparing our theoretical predictions with high-resolution earthquake data from Southern California we find excellent agreement, providing particularly clear evidence for a unified description of aftershocks and foreshocks. This may offer an improved framework for time-dependent seismic hazard assessment and earthquake forecasting.<p /> <p>Language: en</p>",
language="en",
issn="2470-0045",
doi="10.1103/PhysRevE.94.022314",
url="http://dx.doi.org/10.1103/PhysRevE.94.022314"
}