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To study the processes and mechanisms of the correlation between space and time, particularly between lengths and durations in human perception, a special method (device and procedure) to conduct this experiment was designed and called LDR…

神经元与认知 · 定量生物学 2011-01-20 Lev Isaakovich Soyfer

The mutual information characterizes correlations between spatially separated regions of a system. Yet, in experiments we often measure dynamical correlations, which involve probing operators that are also separated in time. Here, we…

量子物理 · 物理学 2025-10-07 Paolo Glorioso , Xiao-Liang Qi , Zhenbin Yang

A recently proposed unified scaling law for interoccurrence times of earthquakes [P. Bak et al., Phys. Rev. Lett. {\bf 88}, 178501 (2002)] is analyzed, both theoretically and with data from Southern California. We decompose the…

凝聚态物理 · 物理学 2009-11-10 Alvaro Corral

Computational earthquake sequence models provide generative estimates of the time, location, and size of synthetic seismic events that can be compared with observed earthquake histories and assessed as rupture forecasts. Here we describe a…

地球物理 · 物理学 2023-04-17 Brendan J. Meade

The concept of memory is of central importance for characterizing complex systems and phenomena. Presence of long-term memories indicates how their dynamics can be less sensitive to initial conditions compared to the chaotic cases. On the…

地球物理 · 物理学 2023-07-11 Sumiyoshi Abe , Norikazu Suzuki

Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

无序系统与神经网络 · 物理学 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

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…

数据分析、统计与概率 · 物理学 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

After a large earthquake, the likelihood of successive strong aftershocks needs to be estimated. Exploiting similarities with critical phenomena, we introduce a scaling law for the decay in time following a main shock of the expected number…

其他凝聚态物理 · 物理学 2007-05-23 Stefano Lise , Maya Paczuski , Attilio Stella

This paper presents an analysis of the distribution of the time $\tau$ between two consecutive events in a stationary point process. The study is motivated by the discovery of a unified scaling law for $\tau$ for the case of seismic events.…

地球物理 · 物理学 2009-11-10 G. Molchan

The statistical properties of earthquake aftershocks are studied. The scaling relation for the exponents of the Omori law and the power-law calm time distribution (i.e., the interoccurrence time distribution), which is valid if a sequence…

地球物理 · 物理学 2009-11-13 Sumiyoshi Abe , Norikazu Suzuki

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…

统计力学 · 物理学 2017-08-23 Tomohiro Hasumi , Yoji Aizawa

The paper presents an investigation of local-time effect - one of the manifestations of macroscopic fluctuations phenomena. Was shown the existence of the named effect for longitudinal distance between locations of measurements up to 500…

综合物理 · 物理学 2007-05-23 V. A. Panchelyuga , V. A. Kolombet , M. S. Panchelyuga , S. E. Shnoll

The emergence of a power-law distribution for the energy released during an earthquake is investigated in several models. Generic features are identified which are based on the self-affine behavior of the stress field prior to an event.…

地球物理 · 物理学 2023-04-05 François Pétrélis , Kristel Chanard , Alexandre Schubnel , Takahiro Hatano

Studying event time series is a powerful approach for analyzing the dynamics of complex dynamical systems in many fields of science. In this paper, we describe the method of event coincidence analysis to provide a framework for quantifying…

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

大气与海洋物理 · 物理学 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen

In recent years, considerable attention has been paid to research and development methods able to assess the seismic energy propagation on the territory. The seismic energy propagation is strongly related to the complexity of the source and…

A prominent feature of earthquakes is their empirical laws including memory (clustering) in time and space. Several earthquake forecasting models, like the EpidemicType Aftershock Sequence (ETAS) model, were developed based on earthquake…

地球物理 · 物理学 2020-03-30 Yongwen Zhang , Dong Zhou , Jingfang Fan , Warner Marzocchi , Yosef Ashkenazy , Shlomo Havlin

One of the main interests in seismology is the formulation of models able to describe the clustering in time occurrence of earthquakes. Analysis of the Southern California Catalog shows magnitude clustering in correspondence to temporal…

地球物理 · 物理学 2007-05-23 Eugenio Lippiello , Cataldo Godano , Lucilla de Arcangelis

A new law regarding structure of the earthquake networks is found. The seismic data taken in California is mapped to a growing directed network. Then, statistics of period in the network, which implies that after how many earthquakes an…

无序系统与神经网络 · 物理学 2009-11-10 Sumiyoshi Abe , Norikazu Suzuki

A field of random space-time events exhibiting complete spatial-temporal randomness appears statistically identical to all observers. Boost invariant lengths naturally emerge when we examine fluctuation scales of this field such as the…

高能物理 - 理论 · 物理学 2009-12-15 Christopher D. Burton