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arXiv · 1703.06332

On The Uniqueness of SRB Measures for Endomorphisms

Pouya Mehdipour
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Abstract

In this paper we improve the results of \cite{MT} and show that a weak hyperbolic transitivity implies the uniqueness of hyperbolic SRB measures. As an important corollary, it arises the ergodicity of the system in a conservative setting. It also arises the condition which implies the stable ergodicity as well as the statistical stability for a general $C^2$-regular map.

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Pouya Mehdipour. 2017-03-18. On The Uniqueness of SRB Measures for Endomorphisms. https://arxiv.org/abs/1703.06332

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