Seismic Interevent Time: A Spatial Scaling and Multifractality

@article{Molchan2005SeismicIT,
title={Seismic Interevent Time: A Spatial Scaling and Multifractality},
author={G. Molchan and T. Kronrod},
journal={Pure and Applied Geophysics},
year={2005},
volume={164},
pages={75-96}
}

The optimal scaling problem for the time t(L × L) between two successive events in a seismogenic cell of size L is considered. The quantity t(L × L) is defined for a random cell of a grid covering a seismic region G. We solve that problem in terms of a multifractal characteristic of epicenters in G known as the tau-function or generalized fractal dimensions; the solution depends on the type of cell randomization. Our theoretical deductions are corroborated by California seismicity with… Expand