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Related papers: Predictability and suppression of extreme events i…

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Extreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly desirable. We study the prediction and prevention of extreme…

Data Analysis, Statistics and Probability · Physics 2015-10-09 Stephan Bialonski , Gerrit Ansmann , Holger Kantz

We study the extreme events taking place on complex networks. The transport on networks is modelled using random walks and we compute the probability for the occurance and recurrence of extreme events on the network. We show that the nodes…

Statistical Mechanics · Physics 2011-05-05 Vimal Kishore , M. S. Santhanam , R. E. Amritkar

A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question naturally lends itself to a probabilistic formulation, by…

Statistical Mechanics · Physics 2018-09-03 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden

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…

Data Analysis, Statistics and Probability · Physics 2007-07-17 D. Sornette

In this article, it is shown specifically that natural system chance events as represented by theory predicted (a priori) probabilistic statements used in such realms as modern particle physics, among others, are only random relative to the…

General Physics · Physics 2007-05-23 Robert A. Herrmann

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

Computational Physics · Physics 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in a classical branching diffusion with…

Geophysics · Physics 2010-03-02 Andrei Gabrielov , Vladimir Keilis-Borok , Sayaka Olsen , Ilya Zaliapin

Power-law distributions are essential in computational and statistical investigations of extreme events and complex systems. The usual technique to generate power-law distributed data is to first infer the scale exponent $\alpha$ using the…

Adaptation and Self-Organizing Systems · Physics 2022-06-15 Jack Murdoch Moore , Gang Yan , Eduardo G. Altmann

Multiple metrics have been developed to detect causality relations between data describing the elements constituting complex systems, all of them considering their evolution through time. Here we propose a metric able to detect causality…

Data Analysis, Statistics and Probability · Physics 2016-05-20 Massimiliano Zanin

Statistical physics and dynamical systems theory are key tools to study high-impact geophysical events such as temperature extremes, cyclones, thunderstorms, geomagnetic storms and many more. Despite the intrinsic differences between these…

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…

Statistical Mechanics · Physics 2020-11-04 Marc Höll , Wanli Wang , Eli Barkai

We propose that catastrophic events are "outliers" with statistically different properties than the rest of the population and result from mechanisms involving amplifying critical cascades. Applications and the potential for prediction are…

Statistical Mechanics · Physics 2009-11-07 D. Sornette

We study a one-dimensional chain of harmonically coupled units in an asymmetric anharmonic soft potential. Due to nonlinear localisation of energy, this system exhibits extreme events in the sense that individual elements of the chain show…

Chaotic Dynamics · Physics 2016-12-28 Colm Mulhern , Stephan Bialonski , Holger Kantz

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

Chaotic Dynamics · Physics 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

Extreme events jeopardize power network operations, causing beyond-design failures and massive supply interruptions. Existing market designs fail to internalize and systematically assess the risk of extreme and rare events. Efficiently…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Tomas Tapia , Zhirui Liang , Charalambos Konstantinou , Yury Dvorkin

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…

Atmospheric and Oceanic Physics · Physics 2017-12-27 Francesco Ragone , Jeroen Wouters , Freddy Bouchet

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

Physics and Society · Physics 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

Extreme events taking place on networks are not uncommon. We show that it is possible to manipulate the extreme events occurrence probabilities and its distribution over the nodes on scale-free networks by tuning the nodal capacity. This…

Statistical Mechanics · Physics 2014-01-13 Vimal Kishore , Abhijeet R. Sonawane , M. S. Santhanam

The foremost aim of this study is to investigate the influence of time-delayed feedback on extreme events in a non-polynomial system with velocity dependent potential. To begin, we investigate the effect of this feedback on extreme events…

Statistical Mechanics · Physics 2022-07-20 S. Sudharsan , A. Venkatesan , P. Muruganandam , M. Senthilvelan

We study the statistics of the amplitude of the synchronization error in chaotic electronic circuits coupled through linear feedback. Depending on the coupling strength, our system exhibits three qualitatively different regimes of…