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A review of the statistical properties of earthquakes is provided, centered mainly in the work of the author (apologies for that). We explain the scaling law for the recurrence-time distributions, its universal character for stationary…

Other Condensed Matter · Physics 2007-05-23 Alvaro Corral

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

Machine Learning · Computer Science 2018-08-15 Lu Liu , Zhiguang Wang

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

Complex networks are usually characterized in terms of their topological, spatial, or information-theoretic properties and combinations of the associated metrics are used to discriminate networks into different classes or categories.…

Data Analysis, Statistics and Probability · Physics 2017-10-25 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

This study describes a deep convolutional neural network (CNN) based technique for the prediction of intensity measurements (IMs) of ground shaking. The input data to the CNN model consists of multistation 3C broadband and accelerometric…

Geophysics · Physics 2021-05-13 Dario Jozinović , Anthony Lomax , Ivan Štajduhar , Alberto Michelini

A two-dimensional earthquake model that consists of a single block resting upon a slowly moving rough surface and connected by two springs to rigid supports is studied. Depending on the elastic anisotropy and the friction force three…

Chaotic Dynamics · Physics 2009-11-10 Raul Montagne , G. L. Vasconcelos

The district of southern California and Japan are divided into small cubic cells, each of which is regarded as a vertex of a graph if earthquakes occur therein. Two successive earthquakes define an edge and a loop, which replace the complex…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sumiyoshi Abe , Norikazu Suzuki

We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture,…

Statistical Mechanics · Physics 2012-05-22 Hikaru Kawamura , Takahiro Hatano , Naoyuki Kato , Soumyajyoti Biswas , Bikas K. Chakrabarti

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 propose a new version of the ETAS model, which we also analyze theoretically. As for the standard ETAS model, we assume the Gutenberg-Richter law as a probability density function for background events' magnitude. Instead, the magnitude…

Probability · Mathematics 2015-04-23 Ilaria Spassiani , Giovanni Sebastiani

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

Chaotic Dynamics · Physics 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

Terra Seismic can predict most major earthquakes (M6.2 or greater) at least 2 - 5 months before they will strike. Global earthquake prediction is based on determinations of the stressed areas that will start to behave abnormally before…

Geophysics · Physics 2020-03-18 Oleg Elshin , Andrew A. Tronin

The epidemic-type aftershock sequence model (ETAS) is a simple stochastic process modeling seismicity, based on the two best-established empirical laws, the Omori law (power law decay ~1/t^{1+\theta} of seismicity after an earthquake) and…

Statistical Mechanics · Physics 2009-11-07 A. Helmstetter , D. Sornette

We construct a classification model that predicts if an earthquake with the magnitude above a threshold will take place at a given location in a time range 30-180 days from a given moment of time. A common approach is to use expert…

Applications · Statistics 2019-05-28 P. Proskura , A. Zaytsev , I. Braslavsky , E. Egorov , E. Burnaev

Earthquake detection is essential for earthquake early warning (EEW) systems. Traditional methods struggle with low signal-to-noise ratios and single-station reliance, limiting their effectiveness. We propose a Spatio-Temporal Graph…

Machine Learning · Computer Science 2025-03-17 Suchanun Piriyasatit , Ercan Engin Kuruoglu , Mehmet Sinan Ozeren

In this paper, we used the Global Catalog of the National Earthquake Information Center US Geological Survey (NEIC USGS) for analysis of the magnitude-frequency distribution of earthquakes. We selected the unimodal part of the distribution…

Geophysics · Physics 2019-12-03 A. V. Guglielmi

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

We suggest a novel method of clustering and exploratory analysis of temporal event sequences data (also known as categorical time series) based on three-dimensional data grid models. A data set of temporal event sequences can be represented…

Databases · Computer Science 2015-05-07 Dominique Gay , Romain Guigourès , Marc Boullé , Fabrice Clérot

The final size of an earthquake typically cannot be predicted from its ongoing seismic radiation. Expanding observations reveal distinct exceptions, such as slow earthquakes, injection-induced seismicity, and earthquake swarms, in which…

Geophysics · Physics 2026-05-19 Dye SK Sato , Keisuke Yoshida

By using the M>=5 global earthquake data for Jan. 1950 to Dec. 2015, we performed statistical analyses for the parameters magnitude, time, and depth on a yearly scale. The magnitude spectrum, which is the earthquake number accumulated at…

Geophysics · Physics 2016-07-20 Z. X. Zhang , X. Q. Li
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