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Statistical tests of earthquake predictions require a null hypothesis to model occasional chance successes. To define and quantify `chance success' is knotty. Some null hypotheses ascribe chance to the Earth: Seismicity is modeled as…

Applications · Statistics 2022-09-21 Brad Luen , Philip B. Stark

The Hawkes process is a versatile stochastic model for point patterns that exhibit self-excitation, that is, the property that an event occurrence increases the rate of occurrence for some period of time in the future. We present a Bayesian…

Methodology · Statistics 2025-12-01 Hyotae Kim , Athanasios Kottas

We review the "critical point" concept for large earthquakes and enlarge it in the framework of so-called "finite-time singularities". The singular behavior associated with accelerated seismic release is shown to result from a positive…

Statistical Mechanics · Physics 2015-06-24 S. G. Sammis , D. Sornette

Physical phenomena observed before strong earthquake have been reported over centuries. Radon anomalies, electrical signals, water level changes, earthquake lights near the epicenter are recognized as pre-earthquake signals to approach…

Geophysics · Physics 2020-10-27 Tao Chen , Lei Li , Xiao-Xin Zhang , Qi-Ming Ma , Shuo Ti , Han Wu

Soil liquefaction is a significant natural hazard associated with earthquakes. Some of its devastating effects include tilting and sinking of buildings and bridges, and destruction of pipelines. Conventional geotechnical engineering…

Geophysics · Physics 2018-02-14 Cécile Clément , Renaud Toussaint , Einat Aharanov

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

The decay pattern of aftershocks in the so-called 'coherent-noise' models [M. E. J. Newman and K. Sneppen, Phys. Rev. E54, 6226 (1996)] is studied in detail. Analytical and numerical results show that the probability to find a large event…

Data Analysis, Statistics and Probability · Physics 2009-10-30 C. Wilke , S. Altmeyer , T. Martinetz

Using the standard ETAS model of triggered seismicity, we present a rigorous theoretical analysis of the main statistical properties of temporal clusters, defined as the group of events triggered by a given main shock of fixed magnitude m…

Geophysics · Physics 2017-08-24 A. Saichev , D. Sornette

A semiconductor model of rocks is shown to describe unipolar magnetic pulses, a phenomenon that has been observed prior to earthquakes. These pulses are observable because their extremely long wavelength allows them to pass through the…

Geophysics · Physics 2014-05-20 John Scoville , Jorge Heraud , Friedemann Freund

The reliable statistical characterization of the spatial and temporal properties of large earthquakes occurrence is one of the most debated issues in seismic hazard assessment, due to the unavoidably limited observations from past events.…

Currently, one of the best performing and most popular earthquake forecasting models rely on the working hypothesis that: "locations of past background earthquakes reveal the probable location of future seismicity". As an alternative, we…

Geophysics · Physics 2020-01-08 Shyam Nandan , Guy Ouillon , Didier Sornette , Stefan Wiemer

A generic saddle-node bifurcation is proposed to modelize fast transitions of finite amplitude arising in geophysical (and perhaps other) contexts, when they result from the intrinsic dynamics of the system. The fast transition is…

Chaotic Dynamics · Physics 2012-09-10 Yves Pomeau , Martine Le Berre

The aftershocks of the Tohoku earthquake are analyzed in light of the phenomenological theory of aftershocks. The theory is based on the concept of an earthquake source as a dynamic system, the state of which is described by a deactivation…

Geophysics · Physics 2025-08-07 O. D. Zotov , A. V. Guglielmi

According to the presented work, VLF/LF electromagnetic emissions might be declared as the main precursor of earthquakes since based on these very emissions, it might predict ($M\ge 5$) inland earthquakes. As for ULF radiations, it governs…

Geophysics · Physics 2023-03-08 Manana Kachakhidze , Nino Kachakhidze-Murphy , Badri Khvitia

Spatio-temporal correlations of the one-dimensional spring-block (Burridge-Knopoff) model of earthquakes are extensively studied by means of numerical computer simulations. Particular attention is paid to clarifying how the statistical…

Geophysics · Physics 2015-06-26 Takahiro Mori , Hikaru Kawamura

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

The time dependence of the parameter of the Gutenberg-Richter (GR) magnitude distribution is computed for foreshock sequences of earthquakes, correlated with the main shock, by using the geometric-growth model of earthquake focus, the…

Geophysics · Physics 2023-03-06 B. F. Apostol , L. C. Cune

Recent satellite and ground-based observations proved that in earthquake preparation period in the seismogenic area we have VLF/LF and ULF electromagnetic emissions. According to the opinion of the authors of the present paper this…

Geophysics · Physics 2013-08-19 Manana Kachakhidze , Nino Kachakhidze

Here a method is presented for detecting precursors of earthquakes from time series data on earthquakes in a target region. Regional Entropy of Seismic Information, a quantity representing the average influence of an earthquake in the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-09 Yukio Ohsawa

The origin of earthquake has long been recognized as resulting from strike-slip instability of plate tectonics along the fault lines. Several events of earthquake around the globe have happened which cannot be explained by this theory. In…

Geophysics · Physics 2013-10-01 Surya Prakash Kapoor , Bhag Chand Chauhan