Results 11 to 20 of about 3,073,887 (172)
Mathematical Theory of Seismic Activity and Its Specific Cases: Gutenberg–Richter Law, Omori Law, Roll-Off Effect, and Negative Binomial Distribution [PDF]
We discuss a model of seismic activity that is based on the concept of energy in a cluster of sources of seismic activity. We show that specific cases of the studied model lead to the Gutenberg–Richter relationship and the Omori law. These laws are valid
Roumen Borisov, Nikolay K. Vitanov
doaj +5 more sources
On the Omori Law in the Physics of Earthquakes
This paper proposes phenomenological equations that describe various aspects of aftershock evolution: elementary master equation, logistic equation, stochastic equation, and nonlinear diffusion equation.
Alexey Zavyalov +3 more
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Interpretation of the Omori law [PDF]
The well-known Omori law is represented in the form of the differential equation describing the evolution of the aftershock activity. The interpretation of the evolution equation is suggested.
A. Guglielmi
semanticscholar +4 more sources
Strong to great earthquakes considerably weaken the structural strength of the subsurface strata and civil constructions. The occurrence of Mw ≥ 5 aftershocks further contributes to the loss of human lives and damage to property.
Harsh K. Gupta, Rajesh Rekapalli
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Aftershocks and Fluctuating Diffusivity [PDF]
The Omori-Utsu law shows the temporal power-law-like decrease of the frequency of earthquake aftershocks and, interestingly, is found in a variety of complex systems/phenomena exhibiting catastrophes.
Sumiyoshi Abe +2 more
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Correlations and Omori law in spamming [PDF]
The most costly and annoying characteristic of the e-mail communication system is the large number of unsolicited commercial e-mails, known as spams, that are continuously received.
M. Ciamarra, A. Coniglio, L. Arcangelis
semanticscholar +6 more sources
Modeling Exact Frequency-Energy Distribution for Quakes by a Probabilistic Cellular Automaton [PDF]
We develop the notion of Random Domino Automaton, a simple probabilistic cellular automaton model for earthquake statistics, in order to provide a mechanistic basis for the interrelation of Gutenberg–Richter law and Omori law with the waiting time ...
Mariusz Białecki +3 more
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New Empirical Tests of the Multifractal Omori Law for Taiwan [PDF]
We report new tests of the linear dependence of the p ‐value of aftershock sequences on the magnitude M m of the triggering event for the Taiwan earthquake catalog.
Ching‐Yi Tsai, G. Ouillon, D. Sornette
semanticscholar +3 more sources
Power-law relaxation in a complex system: Omori law after a financial market crash. [PDF]
We study the relaxation dynamics of a financial market just after the occurrence of a crash by investigating the number of times the absolute value of an index return is exceeding a given threshold value. We show that the empirical observation of a power
Fabrizio Lillo, R. Mantegna
semanticscholar +5 more sources
Partial Ruptures, Cascading Multi‐Fault Ruptures, and Aftershocks in 2D Random Fault Network
The Gutenberg‐Richter law for the distribution of earthquake magnitude and the Omori law for the decay of aftershocks are two universal laws in seismicity. Although numerical models have been developed to reproduce these laws, they sometimes produce many
So Ozawa
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