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Partially Hyperbolic Attractors

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Nonuniformly Hyperbolic Attractors

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Abstract

In this chapter, we construct Young structures for partially hyperbolic diffeomorphisms whose central direction is mostly expanding, deduce the existence of SRB measures for such diffeomorphisms and provide rates for the decay of correlations with respect to these measures in terms of the tail of expansion along the centre-unstable direction.

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Authors and Affiliations

  1. Department of Mathematics, University of Porto, Porto, Portugal

    José F. Alves

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  1. José F. Alves
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Correspondence to José F. Alves .

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Alves, J.F. (2020). Partially Hyperbolic Attractors. In: Nonuniformly Hyperbolic Attractors. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-62814-7_7

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