Extreme value theory for piecewise contracting maps with randomly applied stochastic perturbations

DOI10.1142/S0219493716600157zbMath1354.37014arXiv1501.02913OpenAlexW2255976495WikidataQ57886122 ScholiaQ57886122MaRDI QIDQ2797932

Jorge Milhazes Freitas, Pierre Guiraud, Sandro Vaienti, Davide Faranda

Publication date: 1 April 2016

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02913

zbMATH Keywords

random dynamical systemsextreme value theoryextremal indextransfer operatorpiecewise contracting maps

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Extreme value theory; extremal stochastic processes (60G70) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Sampling local properties of attractors via extreme value theory

Cites Work

• Extremes and related properties of random sequences and processes
• Clustering of extreme events created by multiple correlated maxima
• On the asymptotic properties of piecewise contracting maps
• Topological dynamics of generic piecewise continuous contractive maps in n dimensions
• Piecewise contractions are asymptotically periodic

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