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- W4289429435 abstract "In the present paper we contribute to the thermodynamic formalism of partially hyperbolic attractors for local diffeomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. These include the case of attractors for Axiom A endomorphisms and partially hyperbolic endomorphisms derived from Anosov. We prove these attractors have finitely many SRB measures, that these are hyperbolic, and that the SRB measure is unique provided the dynamics is transitive. Moreover, we show that the SRB measures are statistically stable (in the weak$^*$ topology) and that their entropy varies continuously with respect to the local diffeomorphism." @default.
- W4289429435 created "2022-08-02" @default.
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- W4289429435 date "2018-10-05" @default.
- W4289429435 modified "2023-10-14" @default.
- W4289429435 title "SRB measures for partially hyperbolic attractors of local diffeomorphisms" @default.
- W4289429435 doi "https://doi.org/10.48550/arxiv.1810.02743" @default.
- W4289429435 hasPublicationYear "2018" @default.
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