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Existence of SRB measures for a class of partially hyperbolic attractors in banach spaces

This work was partially supported by NSFC (11331007, 11541003, and 11671279), and NSF (1413603)

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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.

    Mathematics Subject Classification: Primary: 37D30, 37C40.


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