Escape Rates Formulae and Metastability for Randomly perturbed maps

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 metabstable interval maps. We show that our escape rates formulae can be used to approximate limits of invariant densities of randomly perturbed metastable systems.

Appeared in Nonlinearity, May 2013

References in corpus (2)

• On the susceptibility function of piecewise expanding interval maps
• Heat conduction and Fourier's law by consecutive local mixing and thermalization

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• Temporal-varying failures of nodes in networks
• Pseudo-Orbits, Stationary Measures and Metastability
• Averaging for random metastable systems