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

被引：12
|
作者：
Dolgopyat, Dmitry [1 ]
Wright, Paul [1 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
STOCHASTICS AND DYNAMICS | 2012年 / 12卷 / 01期
基金：
美国国家科学基金会;
关键词：
Expanding maps; absolutely continuous invariant measure; transfer operator; metastable states; slow dynamics; INVARIANT-MEASURES;
D O I：
10.1142/S0219493712003547
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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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页数：13
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