THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES-Reference-Cited by-同舟云学术

THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES

Published:2012-03 Issue:01 Volume:12 Page:1150005
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

DOLGOPYAT DMITRY¹,WRIGHT PAUL¹

Affiliation:

1. Department of Mathematics, University of Maryland, College Park, MD 20742, USA

Abstract

Consider a piecewise smooth expanding map of the interval possessing several invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs). After this system is perturbed to make the subintervals lose their invariance in such a way that there is a unique ACIM, we show how to approximate the diffusion coefficient for an observable of bounded variation by the diffusion coefficient of a related continuous time Markov chain.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493712003547

Reference10 articles.

1. Positive Transfer Operators and Decay of Correlations

2. On the spectra of randomly perturbed expanding maps

3. Chaotic Billiards

4. Escape rates and conditionally invariant measures

5. Limit theorems for partially hyperbolic systems

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