35 citations · 107 across the 47 of their papers we have counts for
58 papers
Concentration of dimension in extremal points of left-half lines in the Lagrange spectrum
Carlos Gustavo Moreira, Christian Camilo Silva Villamil
We prove that for any that belongs to the closure of the interior of the Markov and Lagrange spectra, the sets and , which are the sets of irra…
A Note On Transcendental Analytic Functions With Rational Coefficients Mapping Into Itself
Jean Lelis, Diego Marques, Carlos Gustavo Moreira +1
In this note, the main focus is on a question about transcendental entire functions mapping into (which is related to a Mahler's problem). In particular,…
Continuity of fractal dimensions in conservative generic Markov and Lagrange dynamical spectra
Davi Lima, Carlos Gustavo Moreira, Christian Camilo Silva Villamil
Let be a smooth conservative diffeomorphism of a compact surface and let be a transitive horseshoe of . Given a smooth real function defined in and a s…
Examples of sets with irregular projection of Hausdorff measures
Yuri Lima, Carlos Gustavo Moreira
Given positive integers and a real , we construct sets with positive and finite Hausdorff measure such that the Radon-Nikodym der…
On an upper bound of the degree of polynomial identities regarding linear recurrence sequences
Ana Paula Chaves, Carlos Gustavo Moreira, Eduardo Henrique no Nascimento
Let be the Fibonacci sequence given by , for , where and . There are several interesting identities involving this se…
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 encoding the Hausdorff dimensions of the classical Lagrange and Markov spectra with half-infinite lines of the form . For th…