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Stochastic stability at the boundary of expanding maps

Vitor Araujo·Ali Tahzibi
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Abstract

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.

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Vitor Araujo, Ali Tahzibi. 2004-04-20. Stochastic stability at the boundary of expanding maps. https://doi.org/10.1088/0951-7715%2F18%2F3%2F001

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