4 papers
Dynamical spectra for skew products with unit circle fiber
Christian Camilo Silva Villamil, Carlos Gustavo Tamm de Araujo Moreira, Raúl Mario Ures de la Madrid
The dynamical Markov and Lagrange spectra are subsets of the real line widely studied and that share some similarities with the classical spectra, e.g. typical dynamical spectra, a…
Hausdorff dimension of some subsets of the Lagrange and Markov spectra near
Christian Camilo Silva Villamil, Carlos Gustavo Moreira
We study the sets and near , where and are the classical Lagrange and Markov spectra. More specifical…
Concentration of dimension in the Lagrange spectrum
Christian Camilo Silva Villamil
Let be a smooth conservative diffeomorphism of a compact surface and let be a mixing horseshoe of . Given a smooth real function defined on , we define for po…
On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum
Christian Camilo Silva Villamil
Let be a -conservative diffeomorphism of a compact surface and let be a mixing horseshoe of . Given a smooth real function defined in and some dif…