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While the global-average temperatures are rapidly rising, more researchers have been shifting their focus towards the past mass-extinction events in order to show the relations between temperature increase and temperature thresholds which…

Earth and Planetary Astrophysics · Physics 2021-10-08 Guy R. McPherson , Beril Sirmacek , Ricardo Vinuesa

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…

Fluid Dynamics · Physics 2013-11-11 R. Labbé , G. Bustamante

We investigate the statistical properties of the extreme events of the solar cycle as measured by the sunspot number. The recent advances in the methodology of the theory of extreme values is applied to the maximal extremes of the time…

Astrophysics · Physics 2009-11-13 A. Asensio Ramos

Research on heat waves (periods of excessively hot weather, which may be accompanied by high humidity) is a newly emerging research topic within the field of climate change research with high relevance for the whole of society. In this…

Digital Libraries · Computer Science 2021-08-02 Werner Marx , Robin Haunschild , Lutz Bornmann

We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the distribution of the first time points land in asymptotically small sets) and Extreme Value Theory (distribution properties of the partial…

Dynamical Systems · Mathematics 2010-06-17 Ana Cristina Moreira Freitas , Jorge Milhazes Freitas , Mike Todd

Atmospheric regime transitions are highly impactful as drivers of extreme weather events, but pose two formidable modeling challenges: predicting the next event (weather forecasting), and characterizing the statistics of events of a given…

Atmospheric and Oceanic Physics · Physics 2022-10-20 Justin Finkel , Robert J. Webber , Edwin P. Gerber , Dorian S. Abbot , Jonathan Weare

Changes in extreme weather events are a potentially important aspect of anthropogenic climate change (ACC), yet, are difficult to attribute to ACC because the record length is often similar to, or shorter than, extreme-event return periods.…

Atmospheric and Oceanic Physics · Physics 2025-02-19 Peter Sherman , Peter Huybers , Eli Tziperman

Extreme events are an important theme in various areas of science because of their typically devastating effects on society and their scientific complexities. The latter is particularly true if the underlying dynamics does not lead to…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Aicko Yves Schumann , Nicholas R. Moloney , Jörn Davidsen

In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

This paper addresses the critical challenge of improving predictions of climate extreme events, specifically heat waves, using machine learning methods. Our work is framed as a classification problem in which we try to predict whether…

Machine Learning · Computer Science 2025-11-17 Julien Collard , Pierre Gentine , Tian Zheng

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

Methodology · Statistics 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdisciplinary research area of extreme events, underlining its…

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

Max-stable processes are increasingly widely used for modelling complex extreme events, but existing fitting methods are computationally demanding, limiting applications to a few dozen variables. $r$-Pareto processes are mathematically…

Methodology · Statistics 2017-06-14 Raphaël de Fondeville , Anthony C. Davison

Extreme events are emergent phenomena in multi-particle transport processes on complex networks. In practice, such events could range from power blackouts to call drops in cellular networks to traffic congestion on roads. All the earlier…

Physics and Society · Physics 2020-10-27 Aanjaneya Kumar , Suman Kulkarni , M. S. Santhanam

This work addresses the data-driven forecasting of extreme events in the airfoil flow. These events may be seen as examples of the kind of unsteady and intermittent dynamics relevant to the flow around airfoils and wings in a variety of…

Fluid Dynamics · Physics 2023-03-14 Benedikt Barthel , Themistoklis Sapsis

The frequency of disruptive and newly emerging threats (e.g. man-made attacks--cyber and physical attacks; extreme natural events--hurricanes, earthquakes, and floods) has escalated dramatically in the last decade. Impacts of these events…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Narayan Bhusal , Mukesh Gautam , Michael Abdelmalak , Mohammed Benidris

Weather extremes produce major impacts on society and ecosystems and are likely to change in likelihood and magnitude with climate change. However, very low probability events are hard to characterize statistically using observations or…

Applications · Statistics 2026-04-28 Christopher J. Paciorek , Daniel Cooley

Analysis of the rare and extreme values through statistical modeling is an important issue in economical crises, climate forecasting, and risk management of financial portfolios. Extreme value theory provides the probability models needed…

Methodology · Statistics 2017-02-15 Ali Reza Fotouhi

Large language model-powered multi-agent systems have emerged as powerful tools for simulating complex human-like systems. The interactions within these systems often lead to extreme events whose origins remain obscured by the black box of…

Multiagent Systems · Computer Science 2026-02-17 Ling Tang , Jilin Mei , Dongrui Liu , Chen Qian , Dawei Cheng , Jing Shao , Xia Hu