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arXiv · 1603.01582

Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces

Zeng Lian·Peidong Liu·Kening Lu
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Abstract

In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has an SRB measure.

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Zeng Lian, Peidong Liu, Kening Lu. 2016-03-04. Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces. https://arxiv.org/abs/1603.01582

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