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We find prominent similarities in the features of the time series for the (model earthquakes or) overlap of two Cantor sets when one set moves with uniform relative velocity over the other and time series of stock prices. An anticipation…

Physics and Society · Physics 2008-12-02 Bikas K. Chakrabarti , Arnab Chatterjee , Pratip Bhattacharyya

The out-of-time-ordered correlation (OTOC) and entanglement are two physically motivated and widely used probes of the "scrambling" of quantum information, a phenomenon that has drawn great interest recently in quantum gravity and many-body…

Quantum Physics · Physics 2021-06-16 Aram W. Harrow , Linghang Kong , Zi-Wen Liu , Saeed Mehraban , Peter W. Shor

We investigate the spatial distribution of aftershocks and we find that aftershock linear density exhibits a maximum, that depends on the mainshock magnitude, followed by a power law decay. The exponent controlling the asymptotic decay and…

Geophysics · Physics 2009-07-17 E. Lippiello , L. de Arcangelis , C. Godano

We show that Bak et al.'s unified scaling law cannot be trivially explained by a single Omori aftershock sequence. On the contrary, the spatial heterogeneity of seismicity plays a fundamental role in the unified scaling law, which implies…

Other Condensed Matter · Physics 2007-05-23 Alvaro Corral , Kim Christensen

We introduce a shear experiment that quantitatively reproduces the main laws of seismicity. By continuously and slowly shearing a compressed monolayer of disks in a ring-like geometry, our system delivers events of frictional failures with…

Geophysics · Physics 2019-06-05 S. Lherminier , R. Planet , V. Levy dit Vehel , G. Simon , L. Vanel , K. J. Måløy , O. Ramos

Properties of the Olami-Feder-Christensen (OFC) model of earthquakes are studied by numerical simulations. The previous study indicated that the model exhibits ``asperity''-like phenomena, {\it i.e.}, the same region ruptures many times…

Statistical Mechanics · Physics 2015-05-14 Hikaru Kawamura , Takumi Yamamoto , Takeshi Kotani , Hajime Yoshino

Induced seismicity has emerged as a source of a significant earthquake hazard associated with recent development of unconventional energy resources. Therefore, it is imperative to develop stochastic models that can accurately describe the…

Geophysics · Physics 2024-10-08 Robert Shcherbakov

We study earthquake interval time statistics, paying special attention to inter-occurrence times in the two-dimensional (2D) stick-slip (block-slider) model. Inter-occurrence times are the time interval between successive earthquakes on all…

Statistical Mechanics · Physics 2017-08-23 Tomohiro Hasumi , Yoji Aizawa

Earthquakes are a major threat to nations worldwide. Earthquake detection is an important scientific challenge, not only for its social impacts, but also since it reflects the actual degree of understanding of the physical processes…

Geophysics · Physics 2023-05-05 Yosef Ashkenazy , Ittai Kurzon , Eitan Asher

The correlation between level velocities and eigenfunction intensities provides a new way of exploring phase space localization in quantized non-integrable systems. It can also serve as a measure of deviations from ergodicity due to quantum…

Chaotic Dynamics · Physics 2009-10-31 Arul Lakshminarayan , Nicholas R. Cerruti , Steven Tomsovic

We consider two statistical regularities that were used to explain Omori's law of the aftershock rate decay: the Levy and Inverse Gaussian (IGD) distributions. These distributions are thought to describe stress behavior influenced by…

Applications · Statistics 2012-07-24 Yan Y. Kagan

Despite the enormous efforts towards searching for precursors, no precursors have exhibited real predictive power with respect to an earthquake thus far. Seismogenic locked segments that can accumulate adequate strain energy to cause major…

Geophysics · Physics 2019-09-24 Chen Hongran , Qin Siqing , Xue Lei , Yang Baicun , Zhang Ke

Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, not many studies of Self-Organised Criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche…

Statistical Mechanics · Physics 2017-08-01 Gary Willis , Gunnar Pruessner

Analysis of the Sumatra-Andaman earthquake on 26.12.2004 (M = 9) has allowed us to identify two non- trivial properties of the dynamics of aftershocks. First, the strongest aftershock (M = 7.2) was likely triggered by the round-the-world…

Geophysics · Physics 2013-07-17 A. V. Guglielmi , O. D. Zotov , A. D. Zavyalov

The high-cadence, comprehensive view of the solar corona by SDO/AIA shows many events that are widely separated in space while occurring close together in time. In some cases, sets of coronal events are evidently causally related, while in…

Solar and Stellar Astrophysics · Physics 2015-06-15 C. J. Schrijver , A. M. Title , A. R. Yeates , M. L. DeRosa

A scenario of space-time emergence from individual interactions at the quantum level requires correlations encoding a scalar product, for large-scale emergence of space orientation. In D=4 the candidate is spin 1/2 correlations, indicating…

High Energy Physics - Theory · Physics 2018-10-26 Anna Karlsson

Traditional epidemic models consider that individual processes occur at constant rates. That is, an infected individual has a constant probability per unit time of recovering from infection after contagion. This assumption certainly fails…

Populations and Evolution · Quantitative Biology 2013-03-18 Guillermo Abramson , Sebastian Gonçalves , Marcelo F. C. Gomes

An enhancement in seismic measuring instrumentation has been proven to have implications in the quantity of observed earthquakes, since denser networks usually allow recording more events. However, phenomena such as strong earthquakes or…

The number of earthquakes as a function of magnitude decays as a power law. This trend is usually justified using spring-block models, where slips with the appropriate global statistics have been numerically observed. However, prominent…

Disordered Systems and Neural Networks · Physics 2010-05-24 E. A. Jagla , A. B. Kolton

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

Computation · Statistics 2025-11-19 Alba Bernabeu , Jorge Mateu
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