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Based on recent results in extreme value theory, we use a new technique for the statistical estimation of distribution tails. Specifically, we use the Gnedenko-Pickands-Balkema-de Haan theorem, which gives a natural limit law for…

Statistical Mechanics · Physics 2009-10-31 V. F. Pisarenko , D. Sornette

Automatic detection of low-magnitude earthquakes has become an increasingly important research topic in recent years due to a sharp increase in induced seismicity around the globe. The detection of low-magnitude seismic events is essential…

Geophysics · Physics 2021-03-16 Ahmed Shaheen , Umair bin Waheed , Michael Fehler , Lubos Sokol , Sherif Hanafy

We provide a general model for Brownian motions on metric graphs with interactions. In a general setting, for (sticky) Brownian propagations on edges, our model provides a characterization of lifetimes and holding times on vertices in terms…

Probability · Mathematics 2025-09-29 Fausto Colantoni , Mirko D'Ovidio , Flavia Tavani

We make an extensive numerical study of a two dimensional nonconservative model proposed by Olami-Feder-Christensen to describe earthquake behavior. By analyzing the distribution of earthquake sizes using a multiscaling method, we find…

Statistical Mechanics · Physics 2016-08-31 Stefano Lise , Maya Paczuski

The Burridge-Knopoff model of earthquakes has recently gained increased interest for the consistency of the predicted energy released by sismic faults, with the Gutenberg-Richter scaling law. The present work suggests an improvement of this…

Pattern Formation and Solitons · Physics 2007-05-23 Alain M. Dikandé

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

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

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

A novel geomechanics concept is presented for studying the behavior of geomaterials and structures by capturing the underlying dynamics as realistically as possible for earthquake excitation applied in time domain. Enormous amount of…

Computational Engineering, Finance, and Science · Computer Science 2019-11-21 Achintya Haldara , J. Ramon Gaxiola Camachob , Hamoon Azizsoltanic , Francisco J. Villegas-Mercadoa , S. Mohsen Vazirizadea

We find the static displacement, stress, strain and the modified Columb failure stress produced in an elastic medium by a finite size rectangular fault after its dislocation with uniform stress drop but a non uniform dislocation on the…

Geophysics · Physics 2007-05-23 R. Console , F. Catalli

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

Motivated by the fact that empirical time series of earthquakes exhibit long-range correlations in space and time and the Gutenberg-Richter distribution of magnitudes, we propose a simple fault model that can account for these types of…

Statistical Mechanics · Physics 2020-01-29 Marco Baiesi

We investigate records in a growing sequence of identical and independently distributed random variables. The record equals the largest value in the sequence, and our focus is on the increment, defined as the difference between two…

Statistical Mechanics · Physics 2014-01-03 P. W. Miller , E. Ben-Naim

Natural disaster strikes at any given moment from seemingly out of nowhere Akin to earthquake that strongly affects human with different magnitudes through the course of time. The main aim of this study is the fractal analysis of seismic…

Geophysics · Physics 2026-04-28 Santanu Nandi

No proven method is currently available for the reliable short time prediction of earthquakes (minutes to months). However, it is possible to make probabilistic hazard assessments for earthquake risk. These are primarily based on the…

Statistical Mechanics · Physics 2020-01-29 James R. Holliday , Kazuyoshi Z. Nanjo , Kristy F. Tiampo , John B. Rundle , Donald L. Turcotte

Short and long range interactions between earthquakes are attracting increasing interest. Scale invariant properties of seismicity in time, space and energy argue for the presence of complex triggering mechanisms where, like a cascade…

Geophysics · Physics 2007-05-23 Patrizia Tosi , Valerio De Rubeis , Vittorio Loreto , Luciano Pietronero

A recently proposed method of constructing seismic networks from 'record breaking events' from the earthquake catalog of California (Phy. Rev. E, 77 6,066104, 2008) was successfull in establishing causal features to seismicity and arrive at…

Geophysics · Physics 2017-08-02 P. G. Revathi , T. R. Krishnamohan

The two-fractal overlap model of earthquake shows that the contact area distribution of two fractal surfaces follows power law decay in many cases and this agrees with the Guttenberg-Richter power law. Here, we attempt to predict the large…

Statistical Mechanics · Physics 2009-09-29 Srutarshi Pradhan , Pinaki Choudhuri , Bikas K. Chakrabarti

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

We have explored the temporal variability of the seismicity at global scale over the last 124 years, as well as its potential drivers. To achieve this, we constructed and analyzed an averaged global seismicity curve for earthquakes of…

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