1 citations · 1 across the 1 of their papers we have counts for
4 papers
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…