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In this paper we discuss some mathematical aspects of the horizon wave-function formalism, also known in the literature as horizon quantum mechanics. In particular, first we review the structure of both the global and local formalism for…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Andrea Giusti

Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event.…

Seeing the Earth crust as crisscrossed by faults filled with fluid at close to lithostatic pressures, we develop a model in which its elastic modulii are different in net tension versus compression. In constrast with standard nonlinear…

Geophysics · Physics 2007-05-23 G. Ouillon , D. Sornette

We develop a probabilistic framework based on the conjunction of states of information between data and model, to jointly retrieve earthquake source parameters and anelastic attenuation factor from inversion of displacement amplitude…

Geophysics · Physics 2019-06-06 Mariano Supino , Gaetano Festa , Aldo Zollo

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

Integrating focal mechanism solutions with rupture directivity analysis enables high-resolution characterization of subsurface fault geometry and earthquake rupture processes. However, resolving these parameters for small-magnitude…

Geophysics · Physics 2025-12-15 Youjie Jiang , Jiewen Zhang , Jinping Zi , Hongfeng Yang

Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear material behaviour, natural complexities, and multi-physics…

In this short note, I comment on the research of Pisarenko et al. (2014) regarding the extreme value theory and statistics in case of earthquake magnitudes. The link between the generalized extreme value distribution (GEVD) as an asymptotic…

Geophysics · Physics 2015-06-23 Mathias Raschke

An alternative earthquake mechanism is proposed. The traditional stress mechanism of fracture formation assigned a support role. As a proximate cause of the earthquake the destruction of the roofs of sub-horizontal fluid-saturated bodies…

General Physics · Physics 2013-07-19 Andrei Nechayev

Fluctuations in the occurrence of large, disastrous earthquakes are important for the study of deviations from the regular behavior of earthquakes. In this study, to assist in our understanding of the irregular behavior of earthquake…

Statistical Mechanics · Physics 2014-03-18 Tetsuya Mitsudo , Naoyuki Kato

We review the recent researches of numerical simulations on faulting, which are interpreted in this paper as the evolution of the state of the fault plane and the evolution of fault structure. The theme includes the fault constitutive…

Geophysics · Physics 2010-07-26 Hideo Aochi , Ryosuke Ando

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

Physics and Society · Physics 2024-06-05 A. A. Snarskii

Large earthquakes occurring worldwide have long been recognised to be non Poisson distributed, so involving some large scale correlation mechanism, which could be internal or external to the Earth. Till now, no statistically significant…

Geophysics · Physics 2020-04-07 Vito Marchitelli , Paolo Harabaglia , Claudia Troise , Giuseppe De Natale

This paper considers dynamic fracturing of the rockmass surrounding a tunnel statically loaded by compressional stress as a possible source of seismic events in underground mines. This begins with two-dimensional dynamic modelling of…

Geophysics · Physics 2022-05-17 Dmitriy Malovichko , Alex Rigby

This is the first paper in a series devoted to understanding the classical and quantum nature of edge modes and symmetries in gravitational systems. The goal of this analysis is to: i) achieve a clear understanding of how different…

High Energy Physics - Theory · Physics 2020-12-02 Laurent Freidel , Marc Geiller , Daniele Pranzetti

Based on the geodynamics, an earthquake does not take place until the momentum-energy excess a faulting threshold value of rock due to the movement of the fluid layer under the rock layer and the transport and accumulation of the momentum.…

General Physics · Physics 2008-02-05 Yi-Fang Chang

Migration-based earthquake location methods may encounter the polarity reversal issue due to the non-explosive components of seismic source, leading to an unfocused migration image. Various methods have been proposed, yet producing an…

Geophysics · Physics 2023-04-17 Wenhuan Kuang , Jie Zhang , Wei Zhang

The distribution of inter-occurrence time between seismic events is a quantity of great interest in seismic risk assessment. We evaluate this distribution for different models of earthquakes occurrence and follow two distinct approaches:…

Geophysics · Physics 2007-05-23 C. Godano , L. de Arcangelis

We study the dynamics of the Olami-Feder-Christensen (OFC) model of earthquakes, focusing on the behavior of sequences of epicenters regarded as a growing complex network. Besides making a detailed and quantitative study of the effects of…

Statistical Mechanics · Physics 2009-11-11 Tiago P. Peixoto , Carmen P. C. Prado

We introduce a cluster algebraic generalization of Thurston's earthquake map for the cluster algebras of finite type, which we call the \emph{cluster earthquake map}. It is defined by gluing exponential maps, which is modeled after the…

Geometric Topology · Mathematics 2024-12-16 Takeru Asaka , Tsukasa Ishibashi , Shunsuke Kano
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