32 citations · 103 across the 6 of their papers we have counts for
7 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…
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…
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…
Affine actions of a free semigroup on the real line
Vitaly Bergelson, Michal Misiurewicz, Samuel Senti
We consider actions of the free semigroup with two generators on the real line, where the generators act as affine maps, one contracting and one expanding, with distinct fixed poin…
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…