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Author(s): Faranda, D
Jorge Milhazes Freitas
Guiraud, P
Vaienti, S
Title: Extreme value theory for piecewise contracting maps with randomly applied stochastic perturbations
Issue Date: 2016
Abstract: We consider globally invertible and piecewise contracting maps in higher dimensions and perturb them with a particular kind of noise introduced by Lasota and Mackey. We got random transformations which are given by a stationary process: in this framework we develop an extreme value theory for a few classes of observables and we show how to get the (usual) limiting distributions together with an extremal index depending on the strength of the noise.
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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