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By analyzing the seismicity in natural time and studying the evolution of the fluctuations of the entropy change of seismicity under time reversal for various scales of different length i (number of events), we can identify the approach of…

地球物理 · 物理学 2025-12-30 Panayiotis A. Varotsos , Nicholas V. Sarlis , Toshiyasu Nagao

This paper reviews some of the principal uses, over almost seven decades, of correlations, in both Eulerian and Lagrangian frames of reference, of properties of turbulent flows at variable spatial locations and variable time instants.…

流体动力学 · 物理学 2015-08-07 James M. Wallace

We propose a method to search for signs of causal structure in spatiotemporal data making minimal a priori assumptions about the underlying dynamics. To this end, we generalize the elementary concept of recurrence for a point process in…

数据分析、统计与概率 · 物理学 2016-09-08 J. Davidsen , P. Grassberger , M. Paczuski

Recently, the physics of aftershocks has been enriched by three new problems. We will conditionally call them dynamic, inverse, and morphological problems. Dynamic problem is to search for the cumulative effect of a round-the-world seismic…

地球物理 · 物理学 2020-01-30 Anatol V. Guglielmi , Alexey D. Zavyalov , Oleg D. Zotov

The field of study of complex systems holds that the dynamics of complex systems are founded on universal principles that may used to describe a great variety of scientific and technological approaches of different types of natural,…

地球物理 · 物理学 2011-10-12 K. Eftaxias , G. Minadakis , L. Athanasopoulou , M. Kalimeri , S. M. Potirakis , G. Balasis

In relativity there is space-time out there. In quantum mechanics there is entanglement. Entanglement manifests itself by producing correlations between classical events (e.g. the firing of some detectors) at any two space-time locations.…

量子物理 · 物理学 2007-05-23 Nicolas Gisin

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

物理与社会 · 物理学 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

We show that the distribution of waiting times between earthquakes occurring in California obeys a simple unified scaling law valid from tens of seconds to tens of years, see Eq. (1) and Fig. 4. The short time clustering, commonly referred…

统计力学 · 物理学 2009-11-07 Per Bak , Kim Christensen , Leon Danon , Tim Scanlon

As an object of study, we chose the global activity of strong earthquakes (M > 7). The subject of the study is the waiting time for the next strong earthquake. The purpose of the study is to compare two distributions of waiting time, one of…

地球物理 · 物理学 2022-09-02 A. V. Guglielmi , O. D. Zotov

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…

无序系统与神经网络 · 物理学 2010-05-24 E. A. Jagla , A. B. Kolton

This chapter first presents a rather personal view of some different aspects of predictability, going in crescendo from simple linear systems to high-dimensional nonlinear systems with stochastic forcing, which exhibit emergent properties…

地球物理 · 物理学 2014-08-26 Didier Sornette , Ivan Osorio

Yes. Interval statistics have been used to conclude that major earthquakes are random events in time and cannot be anticipated or predicted. Machine learning is a powerful new technique that enhances our ability to understand the…

地球物理 · 物理学 2022-09-02 John B. Rundle , Andrea Donnellan , Geoffrey Fox , Lisa Grant Ludwig , James Crutchfield

Coulomb-stress theory has been used for years in seismology to understand how earthquakes trigger each other. Whenever an earthquake occurs, the stress field changes, and places with positive increases are brought closer to failure.…

地球物理 · 物理学 2019-07-31 Víctor Navas-Portella , Abigail Jiménez , Álvaro Corral

Discoveries of the scale-free and small-world features are reported on a network constructed from the seismic data. It is shown that the connectivity distribution decays as a power law, and the value of the degrees of separation, i.e., the…

统计力学 · 物理学 2009-11-10 Sumiyoshi Abe , Norikazu Suzuki

Trapped particles bursts have long been observed to be frequently occurred several hours before earthquakes, especially for strong earthquakes, from several space experiments during past decades. However, the validity of earthquake origin…

We study the statistics of the recurrence times between earthquakes above a certain magnitude M$ in California. We find that the distribution of the recurrence times strongly depends on the previous recurrence time $\tau_0$. As a…

地球物理 · 物理学 2009-11-10 V. Livina , S. Tuzov , S. Havlin , A. Bunde

It has been observed that the earthquake events possess short-term memory, i.e. that events occurring in a particular location are dependent on the short history of that location. We conduct an analysis to see whether real-time earthquake…

地球物理 · 物理学 2015-05-30 Zeyu Zheng , Kazuko Yamasaki , Joel Tenenbaum , Boris Podobnik , H. Eugene Stanley

Using the simple ETAS branching model of seismicity, which assumes that each earthquake can trigger other earthquakes, we quantify the role played by the cascade of triggered seismicity in controlling the rate of aftershock decay as well as…

地球物理 · 物理学 2015-06-26 Agnes Helmstetter , Didier Sornette

This entry in the Encyclopedia of Complexity and Systems Science, Springer present a summary of some of the concepts and calculational tools that have been developed in attempts to apply statistical physics approaches to seismology. We…

地球物理 · 物理学 2008-04-22 D. Sornette , M. J. Werner

This paper is devoted to the study of the interaction between two distinct forms of non-stationary processes, which we will refer to as non-stationarity of first and second kind. The non-stationarity of first kind is caused by…

地球物理 · 物理学 2023-12-18 Callum Muir , Mauro Bologna , Paolo Grigolini