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We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

Geophysics · Physics 2015-05-18 T. R. Krishna Mohan , P. G. Revathi

A recently proposed unified scaling law for interoccurrence times of earthquakes [P. Bak et al., Phys. Rev. Lett. {\bf 88}, 178501 (2002)] is analyzed, both theoretically and with data from Southern California. We decompose the…

Condensed Matter · Physics 2009-11-10 Alvaro Corral

Statistical properties of earthquakes are studied both by the analysis of real earthquake catalog of Japan and by numerical computer simulations of the spring-block model in both one and two dimensions. Particular attention is paid to the…

Other Condensed Matter · Physics 2012-01-27 Hikaru Kawamura

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

If we assume that earthquakes are chaotic, and influenced locally then chaos theory suggests that there should be a temporal association between earthquakes in a local region that should be revealed with statistical examination. To date no…

Applications · Statistics 2019-02-14 Parsa Rastin , Michael LuValle

A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

Statistical Mechanics · Physics 2009-11-11 S. S. Manna , K. Bhattacharya

Earthquake catalog declustering is the procedure of separating event clusters from background seismicity, which is an important task in statistical seismology, earthquake forecasting, and probabilistic seismic hazard analysis. Several…

Geophysics · Physics 2025-04-14 Robert Shcherbakov , Sidhanth Kothari

We present theoretical arguments and simulation data indicating that the scaling of earthquake events in models of faults with long-range stress transfer is composed of at least three distinct regions. These regions correspond to three…

Statistical Mechanics · Physics 2007-05-23 M. Anghel , W. Klein , J. B. Rundle , J. S. S'a Martins

We address several questions on the behavior of a numerical model recently introduced to study seismic phenomena, that includes relaxation in the plates as a key ingredient. We make an analysis of the scaling of the largest events with…

Statistical Mechanics · Physics 2015-06-03 L. E. Aragón , E. A. Jagla , A. Rosso

We estimate the relative importance of small and large earthquakes for static stress changes and for earthquake triggering, assuming that earthquakes are triggered by static stress changes and that earthquakes are located on a fractal…

Geophysics · Physics 2007-09-06 A. Helmstetter , Y. Y. Kagan , D. D. Jackson

In the present paper we have conducted studies on seismological properties using worldwide data of deep earthquakes (depth larger than 70 km), considering events with magnitude $m \geq 4.5$. We have addressed the problem under the…

The recently introduced Minimalist Model [Vazquez- Prada et al., 2002] of characteristic earthquakes provides a simple representation of the seismicity originated in a sin- gle fault. Here, we first characterize the properties of this model…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 R. Lopez-Ruiz , M. Vazquez-Prada , J. B. Gomez , A. F. Pacheco

Numerical models are starting to be used for determining the future behaviour of seismic faults and fault networks. Their final goal would be to forecast future large earthquakes. In order to use them for this task, it is necessary to…

The concept of memory is of central importance for characterizing complex systems and phenomena. Presence of long-term memories indicates how their dynamics can be less sensitive to initial conditions compared to the chaotic cases. On the…

Geophysics · Physics 2023-07-11 Sumiyoshi Abe , Norikazu Suzuki

Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

Disordered Systems and Neural Networks · Physics 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

Using the standard ETAS model of triggered seismicity, we present a rigorous theoretical analysis of the main statistical properties of temporal clusters, defined as the group of events triggered by a given main shock of fixed magnitude m…

Geophysics · Physics 2017-08-24 A. Saichev , D. Sornette

Declustering aims to divide earthquake catalogs into independent events (mainshocks), and dependent (clustered) events, and is an integral component of many seismicity studies, including seismic hazard assessment. We assess the effect of…

Geophysics · Physics 2021-02-17 Leila Mizrahi , Shyam Nandan , Stefan Wiemer

Fundamentally related to the UV divergence problem in Physics, conventional wisdom in seismology is that the smallest earthquakes, which are numerous and often go undetected, dominate the triggering of major earthquakes, making the…

Geophysics · Physics 2021-05-12 Shyam Nandan , Guy Ouillon , Didier Sornette

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen

Time series forecasting has gained lots of attention recently; this is because many real-world phenomena can be modeled as time series. The massive volume of data and recent advancements in the processing power of the computers enable…

Machine Learning · Computer Science 2021-04-01 Manie Tadayon , Yumi Iwashita