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The Diffusion Coefficient For Piecewise Expanding Maps Of The Interval
With Metastable States
release_n445lv33ijfyxapr7vcjymwxa4
by
Dmitry Dolgopyat, Paul
Wright
Released
as a article
.
2010
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.
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1011.5330v1
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