The Diffusion Coefficient For Piecewise Expanding Maps Of The Interval With Metastable States release_n445lv33ijfyxapr7vcjymwxa4

by Dmitry Dolgopyat, Paul Wright

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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.
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Date   2010-11-24
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arXiv  1011.5330v1
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