%0 Book Section %1 statphys23_1133 %A de Arcangelis, L. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K clustering dynamical earthquakes invited scaling statphys23 topic-9 %T Statistical properties and universality in earthquake and solar flare occurrence %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1133 %X Although earthquakes are phenomena of great complexity, some simple general laws govern the statistics of their occurrence. Interestingly, some of these most important laws exhibit scale invariance properties, as the Gutenberg-Richter law, the Omori law and the space clustering of epicentres. Moreover, these scale invariant properties are common to other natural phenomena, as solar flares. Our analysis of experimental catalogues has, in fact, shown that the stochastic processes underlying these apparently different phenomena have universal properties (PRL 96, 0511021 (2006)). Namely both problems exhibit the same distributions of sizes, inter-occurrence times and the same temporal clustering. If the space and temporal clustering are considered a general and distinct feature of seismic occurrence, the question of the existence of correlations between magnitudes of subsequent earthquakes is intensively debated, since the standard seismological approach assumes independence of earthquake magnitudes: an earthquake 'does not know how large it will become'. Our recent analysis of the Southern California Catalogue has shown the existence of non-zero magnitude correlations (PRL 98, 098501 (2007)). Moreover, considering an earthquake as a point event in time, a branching model based on a dynamical scaling hypothesis, relating magnitude to time, has been proposed to explain the observed magnitude correlations. Our model reproduces the hierarchical organization in time and magnitude of events, suggesting that experimental power laws in size and time distributions naturally originate solely from this scaling hypothesis.

@incollection{statphys23_1133, abstract = {Although earthquakes are phenomena of great complexity, some simple general laws govern the statistics of their occurrence. Interestingly, some of these most important laws exhibit scale invariance properties, as the Gutenberg-Richter law, the Omori law and the space clustering of epicentres. Moreover, these scale invariant properties are common to other natural phenomena, as solar flares. Our analysis of experimental catalogues has, in fact, shown that the stochastic processes underlying these apparently different phenomena have universal properties (PRL 96, 0511021 (2006)). Namely both problems exhibit the same distributions of sizes, inter-occurrence times and the same temporal clustering. If the space and temporal clustering are considered a general and distinct feature of seismic occurrence, the question of the existence of correlations between magnitudes of subsequent earthquakes is intensively debated, since the standard seismological approach assumes independence of earthquake magnitudes: an earthquake 'does not know how large it will become'. Our recent analysis of the Southern California Catalogue has shown the existence of non-zero magnitude correlations (PRL 98, 098501 (2007)). Moreover, considering an earthquake as a point event in time, a branching model based on a dynamical scaling hypothesis, relating magnitude to time, has been proposed to explain the observed magnitude correlations. Our model reproduces the hierarchical organization in time and magnitude of events, suggesting that experimental power laws in size and time distributions naturally originate solely from this scaling hypothesis.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {de Arcangelis, L.}, biburl = {https://www.bibsonomy.org/bibtex/29fb988a5a48958c46549bbfb62ce0f2d/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {0b58941c76b56fe7635f94884621343f}, intrahash = {9fb988a5a48958c46549bbfb62ce0f2d}, keywords = {clustering dynamical earthquakes invited scaling statphys23 topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:39.000+0200}, title = {Statistical properties and universality in earthquake and solar flare occurrence}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1133}, year = 2007 }