26 citations · 70 across the 10 of their papers we have counts for
11 papers
Linear response, and consequences for differentiability of statistical quantities and Multifractal Analysis
Armando Castro, Thiago Bomfim
In this article we initially fix ourselves to smooth (C^r) expanding dynamical systems. We prove the C^{r-1} differentiability of the topological pressure, equilibrium states and t…
Stability and limit theorems for sequences of uniformly hyperbolic dynamics
A. Castro, F. B. Rodrigues, P. Varandas
In this paper we obtain an almost sure invariance principle for convergent sequences of either Anosov diffeomorphisms or expanding maps on compact Riemannian manifolds and prove an…
Statistical properties of the maximal entropy measure for partially hyperbolic attractors
Armando Castro, Teofilo Nascimento
We show the existence and uniqueness of the maximal entropy probability measure for partially hyperbolic diffeomorphisms which are semi-conjugate to nonuniformly expanding maps. Us…
Differentiability of thermodynamical quantities in non-uniformly expanding dynamics
Thiago Bomfim, Armando Castro, Paulo Varandas
In this paper we study the ergodic theory of a robust non-uniformly expanding maps where no Markov assumption is required. We prove that the topological pressure is differentiable…
Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
Armando Castro, Paulo Varandas
We study the rate of decay of correlations for equilibrium states associated to a robust class of non-uniformly expanding maps where no Markov assumption is required. We show that…
Backward volume contraction for endomorphisms with eventual volume expansion
Vilton Pinheiro, Armando Castro, J. F. Alves
We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward vo…