Omori Law

The Omori law is a geophysical law discovered by Fusakichi Ōmori in 1894 , according to which pre- and aftershocks are temporally distributed around a main tremor according to a power distribution.

For foreshocks the law reads , specifying the number of foreshocks and the time of the main tremor. is an exponent . ${\displaystyle N_{f}(t)\propto (t_{M}-t)^{-q}}$ ${\displaystyle N_{f}(t)}$ ${\displaystyle t_{M}}$ ${\displaystyle q}$

For aftershocks, the law reads , specifying the number of aftershocks and the time of the main quake. is an exponent . ${\displaystyle N_{a}(t)\propto (t-t_{M})^{-p}}$ ${\displaystyle N_{a}(t)}$ ${\displaystyle t_{M}}$ ${\displaystyle p}$

During the financial crisis of 2008/2009, individual mathematicians tried to predict the course of stock market prices according to the Omori law.

Individual evidence

1. ↑ http://www.wissenschaft-online.de/artikel/830309  ( page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.  
2. ↑ http://www.luchsinger-mathematics.ch/nzznormal.pdf Neue Zürcher Zeitung , December 3, 2008
3. ↑ ^{a b} Archived copy ( memento of the original from October 22, 2010 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. 
4. ↑ http://www.3sat.de/dynamic/sitegen/bin/sitegen.php?tab=2&source=/nano/bstuecke/132150/index.html