Stable ergodicity for partially hyperbolic attractors with negative central exponents

By Keith Burns, Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott. 2007

47 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d620841153e998cebb069b17fd6d71fbc994200d

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In Mathematical Physics

1. Jiagang Yang

In Statistical and Nonlinear Physics

1. Jiagang Yang

Citations in the corpus

• Entropy along expanding foliations (2016, background): “egative center Lyapunov exponents. As a corollary of the semi-continuation of the set of Gibbs u-states in the C1+ε topology, the set of partially hyperbolic diffeomorphisms forms a C1+ε open set (see [13], [1], [49], [21]). The notion of partially hyperbolic diffeomorphisms with mostly expanding cent”
• SRB measures for partially hyperbolic systems whose central direction is weakly expanding (2014, unknown): “Additional results include conditions which imply uniqueness of the SRB measure for a diffeomor-phism and its perturbations [18, 19, 48], mixing properties of this measure [20, 21, 25], and even differentiability with respect to perturbations [26].”