28 citations · 75 across the 15 of their papers we have counts for
12 papers · 1 filter
Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms
Todd Fisher, Krerley Oliveira
We examine uniqueness of equilibrium states for the natural extension of a topologically exact, non-uniformly expanding, local homeomorphism with a Hölder continuous potential func…
Equilibrium states for hyperbolic potentials via inducing schemes
Jose F. Alves, Krerley Oliveira, Eduardo Santana
In a context of non-uniformly expanding maps, possibly with the presence of a critical set, we prove the existence of finitely many ergodic equilibrium states for hyperbolic potent…
Equilibrium states for certain partially hyperbolic attractors
Todd Fisher, Krerley Oliveira
We prove that a class of partially hyperbolic attractors introduced by Castro and Nascimento have unique equilibrium states for natural classes of potentials. We also show if the a…
Sequential Gibbs Measures and Factor Maps
Giovane Ferreira, Krerley Oliveira
We define the notion of sequential Gibbs measures, inspired by on the classical notion of Gibbs measures and recent examples from the study of non-uniform hyperbolic dynamics. Exte…
Non-uniform Hyperbolicity and Non-uniform Specification
Krerley Oliveira, Xueting Tian
In this paper we deal with an invariant ergodic hyperbolic measure for a diffeomorphism assuming that it is either or is and the Oseledec splitting…
Every expanding measure has the nonuniform specification property
Krerley Oliveira
Exploring abundance and non lacunarity of hyperbolic times for endomorphisms preserving an ergodic probability with positive Lyapunov exponents, we obtain that there are periodic p…