A. Cerqueira

collaborators

2 papers

math.DS2017

Continuity of Hausdorff Dimension Across Generic Dynamical Lagrange and Markov Spectra II

A. Cerqueira, C. G. Moreira, S. Romaña

Let $g_{0}$ be a smooth pinched negatively curved Riemannian metric on a complete surface $N$ , and let $Λ_{0}$ be a basic hyperbolic set of the geodesic flow of $g_{0}$ with Hausdorff di…

math.DS2016

Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra

Aline Cerqueira, Carlos Matheus, Carlos Gustavo Moreira

Let $φ_{0}$ be a smooth area-preserving diffeomorphism of a compact surface $M$ and let $Λ_{0}$ be a horseshoe of $φ_{0}$ with Hausdorff dimension strictly smaller than one. Given a smoo…