arXiv:math/0404368 Abstract

arXiv:math/0404368 [math.DS]Abstract References Reviews Resources

Stochastic stability at the boundary of expanding maps

Published 2004-04-20Version 1

We consider endomorphisms of a compact manifold which are expanding except for a finite number of points and prove the existence and uniqueness of a physical measure and its stochastical stability. We also characterize the zero-noise limit measures for a model of the intermittent map and obtain stochastic stability for some values of the parameter. The physical measures are obtained as zero-noise limits which are shown to satisfy Pesin?s Entropy Formula.

Journal: Nonlinearity, 18 (2005) 1-20.

DOI: 10.1088/0951-7715/18/3/001

Categories: math.DS

Subjects: 37D25, 37D30, 37D20

Keywords: stochastic stability, expanding maps, zero-noise limit measures, physical measure, compact manifold

Tags: journal article

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