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We propose a new metric to quantify the correlation between any two earthquakes. The metric consists of a product involving the time interval and spatial distance between two events, as well as the magnitude of the first one. According to…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Maya Paczuski

According to some recent analysis (M. Baiesi and M. Paczuski, Phys. Rev. E {\bf 69}, 066106, 2004 \cite{maya1}) of earthquake data, aftershock epicenters can be considered to represent the nodes of a network where the linking scheme depends…

Statistical Mechanics · Physics 2007-05-23 Kamalika Basu Hajra , Parongama Sen

Computational earthquake sequence models provide generative estimates of the time, location, and size of synthetic seismic events that can be compared with observed earthquake histories and assessed as rupture forecasts. Here we describe a…

Geophysics · Physics 2023-04-17 Brendan J. Meade

Omori Law describes the evolution of the aftershocks of a strong earthquake. Established at the end of the century before last, it is characterized by the beauty of its form, quite definite clarity, as a result of which it still attracts…

Geophysics · Physics 2022-01-14 A. V. Guglielmi , B. I. Klain , A. D. Zavyalov , O. D. Zotov

Spatiotemporal correlations of the two-dimensional spring-block (Burridge-Knopoff) models of earthquakes with the long-range inter-block interactions are extensively studied by means of numerical computer simulations. The long-range…

Other Condensed Matter · Physics 2009-11-13 Takahiro Mori , Hikaru Kawamura

Seismicity and faulting within the Earth crust are characterized by many scaling laws that are usually interpreted as qualifying the existence of underlying physical mechanisms associated with some kind of criticality in the sense of phase…

Geophysics · Physics 2021-03-31 Shyam Nandan , Sumit Kumar Ram , Guy Ouillon , Didier Sornette

In this short paper we propose to extend the ETAS model to micro-seismic events. For that we interpret the triggered events in an ETAS model as individual local clock advances of an independent background process. The solution of the ETAS…

Geophysics · Physics 2025-01-07 Matthias Holschneider

A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping of the additional visco-elastic force. Both the…

Geophysics · Physics 2015-06-11 Hidetsugu Sakaguchi , Kazuki Okamura

We study the statistics of the recurrence times between earthquakes above a certain magnitude M$ in California. We find that the distribution of the recurrence times strongly depends on the previous recurrence time $\tau_0$. As a…

Geophysics · Physics 2009-11-10 V. Livina , S. Tuzov , S. Havlin , A. Bunde

We propose a method to search for signs of causal structure in spatiotemporal data making minimal a priori assumptions about the underlying dynamics. To this end, we generalize the elementary concept of recurrence for a point process in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 J. Davidsen , P. Grassberger , M. Paczuski

Aftershocks of the 2012 Off-Coast of Sumatra Earthquake Sequence exhibit a complex and diffuse spatial distribution. The first-order complexity in aftershock distribution is clear and well beyond the influence of typical earthquake location…

Geophysics · Physics 2019-06-26 Chengping Chai , Charles J. Ammon , K. Michael Cleveland

The acoustic emission activity associated with recent rock fracture experiments under different conditions has indicated that some features of event-event triggering are independent of the details of the experiment and the materials used…

Geophysics · Physics 2018-01-17 Jordi Baró , Jörn Davidsen

We analyze the memory in volatility by studying volatility return intervals, defined as the time between two consecutive fluctuations larger than a given threshold, in time periods following stock market crashes. Such an aftercrash period…

Physics and Society · Physics 2009-11-13 Philipp Weber , Fengzhong Wang , Irena Vodenska-Chitkushev , Shlomo Havlin , H. Eugene Stanley

Strong deep earthquakes occurred in the Sea of Okhotsk, May 24, 2013 at 05:44 UTC. The magnitude of the earthquake is M = 8.3, the depth of the hypocenter is 629 km. The earthquake was accompanied by the deep-focus aftershocks. The paper is…

Geophysics · Physics 2020-07-30 Anatol V. Guglielmi , Oleg D. Zotov

The aftershock sequence of the devastating Japan earthquake of March 2011 is analyzed for the presence of periodicities at the Earth tide periods. We use spectral analysis as well as a time-domain method KORRECT developed earlier to detect…

Geophysics · Physics 2011-06-16 Arjun Datta , Kamal

We consider a general stochastic branching process, which is relevant to earthquakes as well as to many other systems, and we study the distributions of the total number of offsprings (direct and indirect aftershocks in seismicity) and of…

Statistical Mechanics · Physics 2009-11-10 A. Saichev , A. Helmstetter , D. Sornette

Earthquakes are a complex spatiotemporal phenomenon, the underlying mechanism for which is still not fully understood despite decades of research and analysis. We propose and develop a network approach to earthquake events. In this network,…

Geophysics · Physics 2015-05-28 Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley

Recently, simple differential models of aftershocks have attracted increased attention of researchers at the Institute of Physics of the Earth, Russian Academy of Sciences for their remarkable properties. The shortened Bernoulli equation…

Geophysics · Physics 2021-06-22 A. V. Guglielmi

In this work, we introduce a new methodology to construct a network of epicenters that avoids problems found in well-established methodologies when they are applied to global catalogs of earthquakes located in shallow zones. The new…

In this article we implemented simulations of the OFC model for earthquakes for two different topologies: regular and small-world, where in the latter the links are randomly rewired with probability $p$ . In both topologies, we have studied…

Adaptation and Self-Organizing Systems · Physics 2014-05-05 Douglas S. R. Ferreira , Andrés R. R. Papa , Ronaldo Menezes