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Out of equilibrium quantum systems, on top of quantum fluctuations, display complex temporal patterns. Such time fluctuations are generically exponentially small in the system volume and can be therefore safely ignored in most of the cases.…

量子物理 · 物理学 2014-02-12 Lorenzo Campos Venuti , Paolo Zanardi

Simple models of earthquake faults are important for understanding the mechanisms for their observed behavior, such as Gutenberg-Richter scaling and the relation between large and small events, which is the basis for various forecasting…

统计力学 · 物理学 2007-05-23 Junchao Xia , Harvey Gould , W. Klein , J. B. Rundle

A method that exactly knows the earthquakes beforehand and can generalize them cannot still been developed. However, earthquakes are tried to be predicted through numerous methods. One of these methods, artificial neural networks give…

其他计算机科学 · 计算机科学 2019-07-05 Handan Cam , Osman Duman

We propose and study a modified version of the Olami-Feder-Christiensen model of seismicity, that includes a mechanism of structural relaxation. We obtain realistic features of seismicity that are not obtained with the original version,…

统计力学 · 物理学 2010-08-23 E. A. Jagla

This paper focuses on the problem of anticipating the local occurrence of future large earthquakes. "Local" is defined as the probability of a large earthquake occurring with a defined circle of arbitrary radius surrounding a point of…

We present a simple model of a dynamical system driven by externally-imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a…

凝聚态物理 · 物理学 2009-10-28 M. E. J. Newman , Kim Sneppen

We review briefly the concepts underlying complex systems and probability distributions. The later are often taken as the first quantitative characteristics of complex systems, allowing one to detect the possible occurrence of regularities…

数据分析、统计与概率 · 物理学 2007-07-17 D. Sornette

As part of an effort to develop a systematic methodology for earthquake forecasting, we use a simple model of seismicity based on interacting events which may trigger a cascade of earthquakes, known as the Epidemic-Type Aftershock Sequence…

统计力学 · 物理学 2015-06-24 A. Helmstetter , D. Sornette

Prediction of power outages caused by convective storms which are highly localised in space and time is of crucial importance to power grid operators. We propose a new machine learning approach to predict the damage caused by storms. This…

信号处理 · 电气工程与系统科学 2019-07-03 Roope Tervo , Joonas Karjalainen , Alexander Jung

Avalanche statistics of various threshold activated dynamical systems are known to depend on the magnitude of the drive, or stress, on the system. Such dependencies exist for earthquake size distributions, in sheared granular avalanches,…

统计力学 · 物理学 2019-01-07 Soumyajyoti Biswas , Lucas Goehring

We develop an analytic framework to understand fragmentation in turbulent, self-gravitating media. Previously, we showed some properties of turbulence can be predicted with the excursion-set formalism. Here, we generalize to fully…

宇宙学与河外天体物理 · 物理学 2013-07-02 Philip F. Hopkins

Statistical tests of earthquake predictions require a null hypothesis to model occasional chance successes. To define and quantify `chance success' is knotty. Some null hypotheses ascribe chance to the Earth: Seismicity is modeled as…

应用统计 · 统计学 2022-09-21 Brad Luen , Philip B. Stark

Current techniques for predicting climate change are mainly based on "massive" deterministic numerical modeling. However, the ocean-atmosphere system is a so-called "complex system", made up of a large number of interacting elements. We…

大气与海洋物理 · 物理学 2022-05-31 Francois Louchet

Earthquake occurrence is notoriously difficult to predict. While some aspects of their spatiotemporal statistics can be relatively well captured by point-process models, very little is known regarding the magnitude of future events, and it…

地球物理 · 物理学 2026-04-29 Neri Berman , Oleg Zlydenko , Oren Gilon , Yossi Matias , Yohai Bar-Sinai

Here we define natural chaotic systems, like the earths weather and climate system, as chaotic systems which are open to the world so have constantly changing boundary conditions, and measurements of their states are subject to errors. In…

混沌动力学 · 物理学 2024-09-24 Michael LuValle

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

The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each…

统计力学 · 物理学 2013-04-10 Ken Yamamoto , Yoshihiro Yamazaki

Reliable prediction of large chaotic sytems in the short to middle time range is of interest in a number of fields, including climate, ecology, seismology, and economics. In this paper, results from chaos theory, and statistical theory are…

应用统计 · 统计学 2013-12-17 M. LuValle

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

Previous papers have outlined nowcasting methods to track the current state of earthquake hazard using only observed seismic catalogs. The basis for one of these methods, the "counting method", is the Gutenberg-Richter (GR)…

地球物理 · 物理学 2025-10-20 John B Rundle , Ian Baughman , Andrea Donnellan , Lisa Grant , Geoffrey Fox