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arxiv: 1603.01582 · v1 · pith:IGLIB5C5new · submitted 2016-03-04 · 🧮 math.DS

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

classification 🧮 math.DS
keywords banachdimensionalexistencehyperbolicmeasurespartiallyattractorattractors
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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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