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Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
Jairo Bochi, Yakov Pesin, Omri Sarig
Given a continuous linear cocycle A over a homeomorphism f of a compact metric space X, we investigate its set R of Lyapunov-Perron regular points, that is, the collection of traje…
Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous
Yakov Pesin, Samuel Senti, Farruh Shahidi
We show that any surface admits an area preserving diffeomorphism with non-zero Lyapunov exponents which is Bernoulli and has polynomial decay of correlations. We establi…
Dimension Estimates for Non-conformal Repellers and Continuity of Sub-additive Topological Pressure
Yongluo Cao, Yakov Pesin, Yun Zhao
Given a non-conformal repeller of a map, we study the Hausdorff dimension of the repeller and continuity of the sub-additive topological pressure for the sub-additive…
Equilibrium measures for some partially hyperbolic systems
Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz
We study thermodynamic formalism for topologically transitive partially hyperbolic systems in which the center-stable bundle satisfies a bounded expansion property, and show that e…
Equilibrium states in dynamical systems via geometric measure theory
Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz
Given a dynamical system with a uniformly hyperbolic (`chaotic') attractor, the physically relevant Sinai-Ruelle-Bowen (SRB) measure can be obtained as the limit of the dynamical e…