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The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

Statistical Mechanics · Physics 2023-05-03 S. S. Manna

Sequences of aftershocks following Omori's empirical law are observed after most major earthquakes, as well as in laboratory-scale fault-mimicking experiments. Nevertheless, the origin of this memory effect is still unclear. In this letter,…

Geophysics · Physics 2024-03-28 A. Mathey , J. Crassous , D. Marsan , J. Weiss , A. Amon

A model of the universe as a self-organized critical system is considered. The universe evolves to a state independently of the initial conditions at the edge of chaos. The critical state is an attractor of the dynamics. Random metric…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. W. Moffat

The collapse of man-made and natural structures is a complex phenomenon that has been studied for centuries. We propose a new approach to understanding catastrophic instabilities, based on the idea that they do not occur at the critical…

Pattern Formation and Solitons · Physics 2023-08-29 Klaus Regenauer-Lieb , Manman Hu

Despite the importance of predicting evacuation mobility dynamics after large scale disasters for effective first response and disaster relief, our general understanding of evacuation behavior remains limited because of the lack of…

Computational Engineering, Finance, and Science · Computer Science 2019-03-06 Takahiro Yabe , Yoshihide Sekimoto , Kota Tsubouchi , Satoshi Ikemoto

We present an axiomatic approach to earthquake forecasting in terms of multi-component random fields on a lattice. This approach provides a method for constructing point estimates and confidence intervals for conditional probabilities of…

Geophysics · Physics 2013-10-29 V. Gertsik , M. Kelbert , A. Krichevets

The Olami--Feder--Christensen earthquake model is often considered the prototype dissipative self--organized critical model. It is shown that the size distribution of events in this model results from a complex interplay of several…

Statistical Mechanics · Physics 2009-11-07 Barbara Drossel

The number of earthquakes as a function of magnitude decays as a power law. This trend is usually justified using spring-block models, where slips with the appropriate global statistics have been numerically observed. However, prominent…

Disordered Systems and Neural Networks · Physics 2010-05-24 E. A. Jagla , A. B. Kolton

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

Earthquake occurrence in nature is thought to result from correlated elastic stresses, leading to clustering in space and time. We show that occurrence of major earthquakes in California correlates with time intervals when fluctuations in…

Data Analysis, Statistics and Probability · Physics 2009-11-11 James R. Holliday , John B. Rundle , Donald L. Turcotte , William Klein , Kristy F. Tiampo

Avalanches, or Avalanche-like, events are often observed in the dynamical behaviour of many complex systems which span from solar flaring to the Earth's crust dynamics and from traffic flows to financial markets. Self-organized criticality…

Data Analysis, Statistics and Probability · Physics 2009-11-13 M. Bartolozzi

Characteristic versus critical features of earthquakes are studied on the basis of the Olami-Feder-Christensen model. It is found that the local recurrence-time distribution exhibits a sharp $\delta$-function-like peak corresponding to…

Other Condensed Matter · Physics 2009-11-13 Takeshi Kotani , Hajime Yoshino , Hikaru Kawamura

We analyze the space-time patterns of earthquake occurrence in southern California using a new method that treats earthquakes as a phase dynamical system. The system state vector is used to obtain a probability measure for current and…

Statistical Mechanics · Physics 2007-05-23 Kristy F. Tiampo , John B. Rundle , Seth McGinnis , Susanna Gross , William Klein

A measure of the correlation between two earthquakes is used to link events to their aftershocks, generating a growing network structure. In this framework one can quantify whether an aftershock is close or far, from main shocks of all…

Statistical Mechanics · Physics 2016-08-31 Marco Baiesi

During the last twenty years, a number of publications of theoretical-numerical nature have appeared which come to the apparently-reassuring conclusion that seismic motion on the ground in cities is smaller than what this motion would be in…

Geophysics · Physics 2016-08-01 Armand Wirgin

Previous papers have outlined nowcasting methods to track the current state of earthquake hazard using only observed seismic catalogs. The basis for one of these methods, the "counting method", is the Gutenberg-Richter (GR)…

Geophysics · Physics 2025-10-20 John B Rundle , Ian Baughman , Andrea Donnellan , Lisa Grant , Geoffrey Fox

The Stock Market is a complex self-interacting system, characterized by an intermittent behaviour. Periods of high activity alternate with periods of relative calm. In the present work we investigate empirically about the possibility that…

Other Condensed Matter · Physics 2016-08-31 M. Bartolozzi , D. B. Leinweber , A. W. Thomas

Future energy systems are subject to various uncertain influences. As resilient systems they should maintain a constantly high operational performance whatever happens. We explore different levels and time scales of decision making in…

Earthquakes are one of the most devastating natural disasters that plague society. A skilled, reliable earthquake forecasting remains the ultimate goal for seismologists. Using the detrended fluctuation analysis (DFA) and conditional…

Today, observations of earthquake precursors remain widely debated. While precursory slow slip is an important feature of earthquake nucleation, foreshock sequences are not always observed and their temporal evolution remains unconstrained.…