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We test the concept that seismicity prior to a large earthquake can be understood in terms of the statistical physics of a critical phase transition. In this model, the cumulative seismic strain release increases as a power-law…

Statistical Mechanics · Physics 2015-06-25 D. D. Bowman , G. Ouillon , C. G. Sammis , A. Sornette , D. Sornette

Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record…

Geophysics · Physics 2015-06-26 Joern Davidsen , Peter Grassberger , Maya Paczuski

One of the main interests in seismology is the formulation of models able to describe the clustering in time occurrence of earthquakes. Analysis of the Southern California Catalog shows magnitude clustering in correspondence to temporal…

Geophysics · Physics 2007-05-23 Eugenio Lippiello , Cataldo Godano , Lucilla de Arcangelis

In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not…

Statistical Mechanics · Physics 2016-08-31 Jörn Davidsen , Marco Baiesi

It was conjectured for a long time that the tectonic plates are in a self-organized state of criticality and that the Gutenberg-Richter law is a manifestation of that. It was recently shown that for a system near criticality, the inequality…

Geophysics · Physics 2026-02-12 Sudip Sarkar , Soumyajyoti Biswas

This chapter first presents a rather personal view of some different aspects of predictability, going in crescendo from simple linear systems to high-dimensional nonlinear systems with stochastic forcing, which exhibit emergent properties…

Geophysics · Physics 2014-08-26 Didier Sornette , Ivan Osorio

This review is a partial synthesis of the book ``Why stock market crash'' (Princeton University Press, January 2003), which presents a general theory of financial crashes and of stock market instabilities that his co-workers and the author…

Statistical Mechanics · Physics 2009-11-10 D. Sornette

The Friedmann paradigm for a dynamical universe emanating from a spacetime singularity is critically reviwed. Quantum effects, playing the essential role at the very early stages, suggests that the universe may follow different course to…

General Relativity and Quantum Cosmology · Physics 2009-07-27 M. B. Altaie

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

We analyze 21 aftershock sequences of California to test for evidence of space-time diffusion. Aftershock diffusion may result from stress diffusion and is also predicted by any mechanism of stress weakening. Here, we test an alternative…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Guy Ouillon , Didier Sornette

I study a recently proposed statistical model of earthquake dynamics that incorporates aging as a fundamental ingredient. The model is known to generate earthquake sequences that quantitatively reproduce the spatial and temporal clustering…

Statistical Mechanics · Physics 2015-05-19 E. A. Jagla

Unfortunately, working scientists sometimes reflexively continue to use "buzz phrases" grounded in once prevalent paradigms that have been subsequently refuted. This can impede both earthquake research and hazard mitigation. Well-worn…

Geophysics · Physics 2012-07-23 Yan. Y. Kagan , David D. Jackson , Robert J. Geller

A model for fault dynamics consisting of two rough and rigid brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy release is proportional to…

Condensed Matter · Physics 2019-08-17 V. De Rubeis , R. Hallgass , V. Loreto , G. Paladin , L. Pietronero , P. Tosi

A new cosmological model based on the de Sitter gravity is investigated by dynamical analysis and numerical discussions. Via some transformations, the evolution equations of this model can form an autonomous system with 8 physical critical…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-01 Xi-chen Ao , Xin-zhou Li , Ping Xi

Numerical simulations and a mean-field analysis of a sandpile model of earthquake aftershocks in 1d, 2d and 3d euclidean lattices determine that the average stress decays in a punctuated fashion after a main shock, with events occurring at…

Statistical Mechanics · Physics 2009-10-31 M. W. Lee , D. Sornette

This paper provides theoretical and practical arguments regarding the possibility of predicting strong and major earthquakes worldwide. Many strong and major earthquakes can be predicted at least two to five months in advance, based on…

Geophysics · Physics 2021-04-20 Oleg Elshin , Andrew A. Tronin

We develop a discrete-event modeling framework that captures the progression of geophysical systems toward catastrophic failure through sequences of distinct damage events. By representing system evolution as a succession of temporally…

Geophysics · Physics 2025-07-31 Qinghua Lei , Didier Sornette

Earthquakes occur because of abrupt slips on faults due to accumulated stress in the Earth's crust. Because most of these faults and their mechanisms are not readily apparent, deterministic earthquake prediction is difficult. For effective…

Methodology · Statistics 2013-12-31 Yosihiko Ogata

We present results from a physical experiment which demonstrates that a sheared granular medium behaves in a manner analogous to earthquake activity. The device consists of an annular plate rotating over a granular medium in a stick-slip…

Geophysics · Physics 2007-05-23 Fergal Dalton , David Corcoran

Tectonic faults slip in various manners, ranging from ordinary earthquakes to slow slip events to aseismic fault creep. The frequent occurrence of slow earthquakes and their sensitivity to stress make them a promising probe of the…

Geophysics · Physics 2018-05-18 Bertrand Rouet-Leduc , Claudia Hulbert , Paul A. Johnson
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