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A novel method for glassy landscape exploration is presented which utilizes a time series of energy values collected during an isothermal relaxation after a thermal quench. A sub-series of increasingly rare events, or quakes, which are…

Statistical Mechanics · Physics 2007-05-23 Paolo Sibani , Jesper Dall

A characteristic change of seismicity has been recently uncovered when the precursory Seismic Electric Signals activities initiate before an earthquake occurrence. In particular, the fluctuations of the order parameter of seismicity exhibit…

Geophysics · Physics 2017-03-27 Panayiotis A. Varotsos , Nicholas V. Sarlis , Efthimios S. Skordas

Rapid earthquake magnitude estimation is crucial for effective early warning systems that can save lives and reduce economic damage. In this paper, we present a comprehensive study of magnitude classification using only the vertical…

The burgeoning need to sequester anthropogenic CO$_2$ for climate mitigation and the need for energy sustenance leading upto enhanced geothermal energy production has made it incredibly critical to study potential earthquakes due to fluid…

Geophysics · Physics 2021-08-04 Saumik Dana , Birendra Jha

Bayesian neural networks (BNN) are the probabilistic model that combines the strengths of both neural network (NN) and stochastic processes. As a result, BNN can combat overfitting and perform well in applications where data is limited.…

Machine Learning · Statistics 2023-04-13 Sabber Ahamed , Md Mesbah Uddin

The paper describes a theoretical model of the generation of electromagnetic emissions detected prior to the earthquake, a scheme of the earthquake prediction methodology, the possible methods, which are capable of simultaneous…

Geophysics · Physics 2022-04-26 Manana Kachakhidze , Nino Kachakhidze-Murphy

The Collaboratory for the Study of Earthquake Predictability (CSEP) aims to prospectively test time-dependent earthquake probability forecasts on their consistency with observations. To compete, time-dependent seismicity models are…

Geophysics · Physics 2015-05-13 M. J. Werner , D. Sornette

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

Statistical Mechanics · Physics 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

We present the "condensation" method that exploits the heterogeneity of the probability distribution functions (PDF) of event locations to improve the spatial information content of seismic catalogs. The method reduces the size of seismic…

Geophysics · Physics 2015-09-02 Y. Kamer , G. Ouillon , D. Sornette , J. Woessner

Understanding the causes and effects of spatial vegetation patterns is a fundamental problem in ecology, especially because these can be used as early predictors of catastrophic shifts such as desertification processes. Empirical studies of…

Statistical Mechanics · Physics 2020-06-19 Paula Villa Martín , Virginia Domínguez-García , Miguel A. Muñoz

The seismic processes are well known to be self-similar in both spatial and temporal behavior. At the same time, the Burridge-Knopoff (BK) model of earthquake fault dynamics, one of the basic models of theoretical seismicity, does not…

chao-dyn · Physics 2008-02-03 P. G. Akishin , M. V. Altaisky , A. D. Budnik , V. V. Ivanov , I. Antoniou

Consider the following forest-fire model on the upper half-plane of the triangular lattice: Each site can be "vacant" or "occupied by a tree". At time 0 all sites are vacant. Then the process is governed by the following random dynamics:…

Probability · Mathematics 2014-06-10 Robert Graf

Fluctuations in diversity and extinction sizes are discussed and compared for two different, individual-based models of biological coevolution. Both models display power-law distributions for various quantities of evolutionary interest,…

Populations and Evolution · Quantitative Biology 2007-05-23 Per Arne Rikvold

Random forests are a machine learning method used to automatically classify datasets and consist of a multitude of decision trees. While these random forests often have higher performance and generalize better than a single decision tree,…

Machine Learning · Computer Science 2025-07-31 Max Sondag , Christofer Meinecke , Dennis Collaris , Tatiana von Landesberger , Stef van den Elzen

We propose a discrete two-dimensional mathematical model for forest fires and we derive certain results describing its limiting behavior. We also pose a relevant open question.

Probability · Mathematics 2026-04-21 Vassilis G. Papanicolaou

The analysis of strong motion recordings in structures is crucial to understand the damaging process during earthquakes. A very precise time-frequency representation, the reassigned smoothed pseudo-Wigner-Ville method, allowed us to follow…

Geophysics · Physics 2010-04-22 Clotaire Michel , Philippe Guéguen

Catastrophic transitions, where a system shifts abruptly between alternate steady states, are a generic feature of many nonlinear systems. Recently these regime shift were suggested as the mechanism underlies many ecological catastrophes,…

Populations and Evolution · Quantitative Biology 2015-06-11 Haim Weissmann , Nadav M. Shnerb

Although our existing one-dimensional (1D) model provides a successful quantitative description of rupture events, a 1D description is somewhat limited. We therefore derive a two-dimensional (2D) model which allows us to investigate…

Geophysics · Physics 2021-12-20 Naum I. Gershenzon , Thomas Skinner

Rapid and accurate estimation of post-earthquake ground failures and building damage is critical for effective post-disaster responses. Progression in remote sensing technologies has paved the way for rapid acquisition of detailed,…

Geophysics · Physics 2024-12-03 Xuechun Li , Susu Xu

The article discusses the possibilities of three-step early warning and short-term prediction of earthquakes based on the classical geological model of fault formation and a model of the generation of electromagnetic emissions detected…