C. Moreira

activity

20242026

collaborators

3 papers

math.NT2026

On the graph of the dimension function of the Lagrange and Markov spectra

Carlos Matheus, Carlos Gustavo Moreira, Polina Vytnova

We study the graph of the function $d (t)$ encoding the Hausdorff dimensions of the classical Lagrange and Markov spectra with half-infinite lines of the form $(- \infty, t)$ . For th…

math.DS2025

Continuity of fractal dimensions in conservative generic Markov and Lagrange dynamical spectra

Davi Lima, Carlos Gustavo Moreira, Christian Camilo Silva Villamil

Let $I ¨ _{0}$ be a smooth conservative diffeomorphism of a compact surface $S$ and let $I^_{0}$ be a transitive horseshoe of $I ¨ _{0}$ . Given a smooth real function $f$ defined in $S$ and…

math.DS2024

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of $C^{2}$

Hugo AraÃºjo, Carlos Gustavo Moreira

Let ${f_{I^} ¼}_{I^¼ \in D}$ be a family of automorphisms of $C^{2}$ unfolding a generic homoclinic tangency associated to a fixed point $p$ belonging to a horseshoe. W…

On the graph of the dimension function of the Lagrange and Markov spectra

Continuity of fractal dimensions in conservative generic Markov and Lagrange dynamical spectra

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of C2

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of $C^{2}$