32 citations · 168 across the 13 of their papers we have counts for
16 papers
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…
SRB measures and Young towers for surface diffeomorphisms
Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin
We give geometric conditions that are necessary and sufficient for the existence of Sinai-Ruelle-Bowen (SRB) measures for surface diffeomorphisms, thus proving a version…
The essential coexistence phenomenon in Hamiltonian dynamics
Jianyu Chen, Huyi Hu, Yakov Pesin +1
We construct an example of a Hamiltonian flow on a -dimensional smooth manifold which after being restricted to an energy surface demonstrate…
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…
The geometric approach for constructing Sinai-Ruelle-Bowen measures
Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin
An important class of `physically relevant' measures for dynamical systems with hyperbolic behavior is given by Sinai-Ruelle-Bowen (SRB) measures. We survey various techniques for…
Path connectedness and entropy density of the space of ergodic hyperbolic measures
Anton Gorodetski, Yakov Pesin
We show that the space of hyperbolic ergodic measures of a given index supported on an isolated homoclinic class is path connected and entropy dense provided that any two hyperboli…
Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps
Vaughn Climenhaga, Dmitry Dolgopyat, Yakov Pesin
We prove the existence of SRB measures for diffeomorphisms where a positive volume set of initial conditions satisfy an "effective hyperbolicity" condition that guarantees certain…
Thermodynamics of Towers of Hyperbolic Type
Yakov Pesin, Samuel Senti, Ke Zhang
We introduce a class of continuous maps of a compact topological space admitting inducing schemes of hyperbolic type and describe the associated tower constructions. We the…
Hadamard-Perron theorems and effective hyperbolicity
Vaughn Climenhaga, Yakov Pesin
We prove several new versions of the Hadamard-Perron Theorem, which relates infinitesimal dynamics to local dynamics for a sequence of local diffeomorphisms, and in particular esta…
Lifting Measures to Inducing Schemes
Yakov Pesin, Samuel Senti, Ke Zhang
In this paper we study the liftability property for piecewise continuous maps of compact metric spaces, which admit inducing schemes in the sense of Pesin and Senti [PS05, PS06]. W…
Equilibrium Measures for Maps with Inducing Schemes
Yakov Pesin, Samuel Senti
We introduce a class of continuous maps f of a compact metric space I admitting inducing schemes and describe the tower constructions associated with them. We then establish a ther…
Thermodynamical Formalism Associated with Inducing Schemes for One-dimensional Maps
Yakov Pesin, Samuel Senti
For a smooth map f of a compact interval I admitting an inducing scheme we establish a thermodynamical formalism, i.e., describe a class of real-valued potential functions on I…
Dimension and product structure of hyperbolic measures
Luis Barreira, Yakov Pesin, Jörg Schmeling
We prove that every hyperbolic measure invariant under a C^{1+α} diffeomorphism of a smooth Riemannian manifold possesses asymptotically ``almost'' local product structure, i.e., i…