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Earthquakes are measured using well defined seismic parameters such as seismic moment (Mo), moment magnitude (Mw), and released elastic energy(E). How this tremendous amount of energy is accumulated silently deep inside the earth's crust?…

Geophysics · Physics 2020-11-03 Atanu Das

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

Statistical similarities between earthquakes and other systems that emit cracking noises have been explored in diverse contexts, ranging from materials science to financial and social systems. Such analogies give promise of a unified and…

Geophysics · Physics 2016-06-27 Leandro S. Costa , Ervin K. Lenzi , Renio S. Mendes , Haroldo V. Ribeiro

We present results from a physical experiment which demonstrates that a sheared granular medium behaves in a manner analogous to earthquake activity. The device consists of an annular plate rotating over a granular medium in a stick-slip…

Geophysics · Physics 2007-05-23 Fergal Dalton , David Corcoran

Heavy tailed phenomena are naturally analyzed by extreme value statistics. A crucial step in such an analysis is the estimation of the extreme value index, which describes the tail heaviness of the underlying probability distribution. We…

Statistics Theory · Mathematics 2018-07-18 Hanan Ahmed , John H. J. Einmahl

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

The recently introduced Minimalist Model [Vazquez- Prada et al., 2002] of characteristic earthquakes provides a simple representation of the seismicity originated in a sin- gle fault. Here, we first characterize the properties of this model…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 R. Lopez-Ruiz , M. Vazquez-Prada , J. B. Gomez , A. F. Pacheco

The paper provides a synoptic overview of a series of works carried out by a group of researchers at the Institute of Physics of the Earth RAS with the aim of finding new approaches to the problems of earthquake physics. The fundamental…

Geophysics · Physics 2025-06-10 A. V. Guglielmi , A. D. Zavyalov , O. D. Zotov , B. I. Klain

This paper addresses the growing concern of cascading extreme events, such as an extreme earthquake followed by a tsunami, by presenting a novel method for risk assessment focused on these domino effects. The proposed approach develops an…

Methodology · Statistics 2026-02-09 Miguel de Carvalho , Clemente Ferrer , Ronny Vallejos

When analysing extreme values, two alternative statistical approaches have historically been held in contention: the block maxima method (or annual maxima method, spurred by hydrological applications) and the peaks-over-threshold. Clamoured…

Statistics Theory · Mathematics 2026-02-12 Claudia Neves , Chang Xu

Precise real time estimates of earthquake magnitude and location are essential for early warning and rapid response. While recently multiple deep learning approaches for fast assessment of earthquakes have been proposed, they usually rely…

Geophysics · Physics 2021-04-15 Jannes Münchmeyer , Dino Bindi , Ulf Leser , Frederik Tilmann

In this chapter, we illustrate the use of split bulk-tail models and subasymptotic models motivated by extreme-value theory in the context of hazard assessment for earthquake-induced landslides. A spatial joint areal model is presented for…

Applications · Statistics 2024-04-16 Rishikesh Yadav , Luigi Lombardo , Raphaël Huser

We consider daily rainfall observations at 32 stations in the province of North Holland (the Netherlands) during 30 years. Let $T$ be the total rainfall in this area on one day. An important question is: what is the amount of rainfall $T$…

Applications · Statistics 2008-07-28 T. A. Buishand , L. de Haan , C. Zhou

The generalized logistic equation is derived to model kinetics and statistics of natural processes such as earthquakes, forest fires, floods, landslides, and many others. The general solution of this equation for q=1 is a product of an…

Geophysics · Physics 2017-03-28 Lev A. Maslov , Vladimir I. Chebotarev

We study the constraints on gravity scale $M_P$ in extra-dimension gravitational theory, obtained from gravity-induced processes. The obtained constraints are subdivided into strong (though not robust) and reliable (though less strong). The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Veniamin Berezinsky , Mohan Narayan

We present a two-dimensional spring-block model of earthquakes with the full nonlinear equations for the forces in terms of displacements. Correspondence of our linearized version to earlier models reveals in them inherently asymmetric…

Condensed Matter · Physics 2008-02-03 Kwan-tai Leung , Judith Müller , Jørgen Vitting Andersen

Ground-motion prediction equations (GMPE) are essential in probabilistic seismic hazard studies for estimating the ground motions generated by the seismic sources. In low seismicity regions, only weak motions are available in the lifetime…

Entropic uncertainty relations play a fundamental role in quantum information theory. However, determining optimal (tight) entropic uncertainty relations for general observables remains a formidable challenge and has so far been achieved…

Quantum Physics · Physics 2026-02-03 Ma-Cheng Yang , Cong-Feng Qiao

This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{\"u}ller space introduced by Thurston. We provide proofs for several assertions of Thurston and establish new properties of this…

Geometric Topology · Mathematics 2024-05-01 Yi Huang , Ken'ichi Ohshika , Huiping Pan , Athanase Papadopoulos

In this work the data of the earthquake catalog of the NOAA, National Geophysical Data Center (NGDC) are processed in terms of global seismic energy release. The determined Global Cumulative Seismic Energy Release (GCSER) graph as a…

Geophysics · Physics 2012-10-03 C. Thanassoulas , V. Klentos , G. Verveniotis , N. Zymaris
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