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This paper develops a novel method, based on hidden Markov models, to forecast earthquakes and applies the method to mainshock seismic activity in southern California and western Nevada. The forecasts are of the probability of a mainshock…

Applications · Statistics 2014-11-21 Daniel W. Chambers , Jenny A. Baglivo , John E. Ebel , Alan L. Kafka

We invoke a metric to quantify the correlation between any two earthquakes. This provides a simple and straightforward alternative to using space-time windows to detect aftershock sequences and obviates the need to distinguish main shocks…

Geophysics · Physics 2020-01-29 Marco Baiesi , Maya Paczuski

On many social networking web sites such as Facebook and Twitter, resharing or reposting functionality allows users to share others' content with their own friends or followers. As content is reshared from user to user, large cascades of…

Social and Information Networks · Computer Science 2014-03-20 Justin Cheng , Lada A. Adamic , P. Alex Dow , Jon Kleinberg , Jure Leskovec

Spatiotemporal clustering of earthquake events is a generally-established fact, and is important for designing models and assessment techniques in seismicity. Here, we investigate how this behavior can manifest in the statistical…

Geophysics · Physics 2013-07-08 Rene C. Batac , Holger Kantz

Earthquakes are complex physical processes driven by the stick-slip motion of a sliding fault. After the main quake, a series of aftershocks typically follows. These are loosely defined as events that follow a given event and occur within…

Geophysics · Physics 2022-12-12 Pinaki Kumar , Roberto Benzi , Jeannot Trampert , Federico Toschi

We proceeded from general physical concepts based, on the one hand, on the Umoff-Poynting theorem, and on the other, on the phenomenological theory of earthquakes, and formulated the following question: What are the directions of energy…

Geophysics · Physics 2024-01-25 A. V. Guglielmi , O. D. Zotov

We investigate the sequence of great earthquakes over the past century. To examine whether the earthquake record includes temporal clustering, we identify aftershocks and remove those from the record. We focus on the recurrence time,…

Geophysics · Physics 2013-07-22 E. Ben-Naim , E. G. Daub , P. A. Johnson

Laboratory earthquakes exhibit characteristics of a low dimensional random attractor with a dimension similar to that of natural slow earthquakes. A model of stochastic differential equations based on rate and state-dependent friction…

Chaotic Dynamics · Physics 2022-04-07 Adriano Gualandi , Davide Faranda , Chris Marone , Massimo Cocco , Gianmarco Mengaldo

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

The occurrence of aftershocks following a major financial crash manifests the critical dynamical response of financial markets. Aftershocks put additional stress on markets, with conceivable dramatic consequences. Such a phenomenon has been…

Statistical Finance · Quantitative Finance 2012-09-21 Fulvio Baldovin , Francesco Camana , Michele Caraglio , Attilio L. Stella , Marco Zamparo

The existence of magnitude dependence in earthquake triggering has been reported. Such a correlation is linked to the issue of seismic predictability and remains under intense debate whether it is physical or is caused by incomplete data…

Geophysics · Physics 2023-07-06 Giuseppe Petrillo , Jiancang Zhuang

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

Physical Wavelets observe the large earthquake genesis processes of several months in a regional seismic catalog, suggesting the predictability of location, fault movement and size, and rupture time with an accuracy of up to a day and up to…

Geophysics · Physics 2024-04-03 Fumihide Takeda

Self-exciting Hawkes processes are used to model events which cluster in time and space, and have been widely studied in seismology under the name of the Epidemic Type Aftershock Sequence (ETAS) model. In the ETAS framework, the occurrence…

Computation · Statistics 2020-02-06 Aleksandar A. Kolev , Gordon J. Ross

We estimate the relative importance of small and large earthquakes for static stress changes and for earthquake triggering, assuming that earthquakes are triggered by static stress changes and that earthquakes are located on a fractal…

Geophysics · Physics 2007-09-06 A. Helmstetter , Y. Y. Kagan , D. D. Jackson

Earthquake aftershock identification is closely related to the question "Are aftershocks different from the rest of earthquakes?" We give a positive answer to this question and introduce a general statistical procedure for clustering…

Geophysics · Physics 2010-03-01 Ilya Zaliapin , Andrei Gabrielov , Vladimir Keilis-Borok , Henry Wong

We show that the distribution of waiting times between earthquakes occurring in California obeys a simple unified scaling law valid from tens of seconds to tens of years, see Eq. (1) and Fig. 4. The short time clustering, commonly referred…

Statistical Mechanics · Physics 2009-11-07 Per Bak , Kim Christensen , Leon Danon , Tim Scanlon

A multicomponent random process used as a model for the problem of space-time earthquake prediction; this allows us to develop consistent estimation for conditional probabilities of large earthquakes if the values of the predictor…

Geophysics · Physics 2009-04-28 V. M. Ghertzik

Earthquakes are indeed triggered by fault dislocations, but whether this process alone can produce the actual earthquake energy released by the mainshock has long been questioned. Therefore, exploring the true source of energy that causes…

Geophysics · Physics 2022-02-24 Xiaoping Mao , Xueqiang Zhang , Yuci Su , Ke Mao , Pengyu Lu , Fei Zhang

it has been given scientifically proven suggestions for the classification of earthquake precursor, indicator, and triggering factors.