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Scale invariance property in the global geometry of Earth may lead to a coupled interactive behaviour between various components of the climate system. One of the most interesting correlations exists between spatial statistics of the global…

大气与海洋物理 · 物理学 2016-09-29 Bijan Fallah , Abbas Ali Saberi , Sahar Sodoudi

We investigate the predictability of extreme events in time series. The focus of this work is to understand under which circumstances large events are better predictable than smaller events. Therefore we use a simple prediction algorithm…

数据分析、统计与概率 · 物理学 2008-01-30 S. Hallerberg , H. Kantz

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

混沌动力学 · 物理学 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

We theoretically study long-term trends in the statistics of record-breaking daily temperatures and validate these predictions using Monte Carlo simulations and data from the city of Philadelphia, for which 126 years of daily temperature…

数据分析、统计与概率 · 物理学 2007-05-23 S. Redner , Mark R. Petersen

Studying extreme events and how they evolve in a changing climate is one of the most important current scientific challenges. Starting from complex climate models, a key difficulty is to be able to run long enough simulations in order to…

大气与海洋物理 · 物理学 2017-12-27 Francesco Ragone , Jeroen Wouters , Freddy Bouchet

Fluctuations of global additive quantities, like total energy or magnetization for instance, can in principle be described by statistics of sums of (possibly correlated) random variables. Yet, it turns out that extreme values (the largest…

统计力学 · 物理学 2008-11-18 Maxime Clusel , Eric Bertin

The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

综合物理 · 物理学 2007-05-23 J. S. Pethkar , A. M. Selvam

Extreme value statistics, or extreme statistics for short, refers to the statistics that characterizes rare events of either unusually high or low intensity: climate disasters like floods following extremely intense rains are among the…

流体动力学 · 物理学 2013-11-11 R. Labbé , G. Bustamante

One of the goals of climate science is to characterize the statistics of extreme and potentially dangerous events in the present and future climate. Extreme events like heat waves, droughts, or floods due to persisting rains are…

大气与海洋物理 · 物理学 2020-01-08 Francesco Ragone , Freddy Bouchet

We review recent results on the appearance of long-term persistence in climatic records and their relevance for the evaluation of global climate models and rare events.The persistence can be characterized, for example, by the correlation…

We study the scaling behaviors in the wind velocity time series collected at the atmospheric surface layer and compare them with two commonly used cascade models, the truncated stable distribution and the log-normal model. Results show that…

流体动力学 · 物理学 2012-12-03 Lei Liu , Fei Hu

Due to the unitary evolution, quantum walks display different dynamical features from that of classical random walks. In contrast to this expectation, in this work, we show that extreme events can arise in unitary dynamics and its…

量子物理 · 物理学 2025-02-27 Nisarg Vyas , M. S. Santhanam

Despite the importance of quantifying how the spatial patterns of extreme precipitation will change with warming, we lack tools to objectively analyze the storm-scale outputs of modern climate models. To address this gap, we develop an…

大气与海洋物理 · 物理学 2023-12-04 Griffin Mooers , Tom Beucler , Mike Pritchard , Stephan Mandt

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

统计方法学 · 统计学 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

A review of the statistical properties of earthquakes is provided, centered mainly in the work of the author (apologies for that). We explain the scaling law for the recurrence-time distributions, its universal character for stationary…

其他凝聚态物理 · 物理学 2007-05-23 Alvaro Corral

We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical systems. The observables have either a Fr\'echet (fat-tailed)…

动力系统 · 数学 2023-11-07 Meagan Carney , Mark Holland , Matthew Nicol , Phuong Tran

Waiting-time statistics are generated from the Olami-Feder-Christensen model and shown to mimic some aspects of real seismicity. Preliminary analysis of the model data implies a recently proposed universal scaling law for the distribution…

地球物理 · 物理学 2016-09-08 Morgan Hedges , George Takacs

Extreme events are unusual and rare large-amplitude fluctuations that occur can unexpectedly in nonlinear dynamical systems. Events above the extreme event threshold of the probability distribution of a nonlinear process characterize…

数据分析、统计与概率 · 物理学 2023-03-08 Premraj Durairaj , Sathiyadevi Kanagaraj , Suresh Kumarasamy , Karthikeyan Rajagopal

We investigate extreme value theory for physical systems with a global conservation law which describe renewal processes, mass transport models and long-range interacting spin models. As shown previously, a special feature is that the…

统计力学 · 物理学 2020-11-04 Marc Höll , Wanli Wang , Eli Barkai

Turbulence is a complex spatial and temporal structure created by the strong non-linear dynamics of fluid flows at high Reynolds numbers. Despite being an ubiquitous phenomenon that has been studied for centuries, a full understanding of…

统计力学 · 物理学 2023-11-03 Noam Levi , Yaron Oz