Escape rates formulae and metastablilty for randomly perturbed maps

Wael Bahsoun, Sandro Vaienti

Type: Article

Publication Date: 2013-04-12

Citations: 21

DOI: https://doi.org/10.1088/0951-7715/26/5/1415

Abstract

We provide escape rates formulae for piecewise expanding interval maps with 'random holes'. Then we obtain rigorous approximations of invariant densities of randomly perturbed metastable interval maps. We show that our escape rates formulae can be used to approximate limits of invariant densities of randomly perturbed metastable systems.

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Loughborough University Institutional Repository (Loughborough University) - View - PDF
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+	On the Existence of Invariant Measures for Piecewise Monotonic Transformations	1974	Andrzej Lasota James A. Yorke
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