Sandoel Vieira

activity

20192024

most cited

M ∖ L

near 3

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2024

inf(M \ L)=3

Harold Erazo, Davi Lima, Carlos Matheus +2

The Lagrange and Markov spectra $L$ and $M$ describe the best constants of Diophantine approximations for irrational numbers and binary quadratic forms. In 1880, A. Markov showed t…

math.DS2023

Lagrange and Markov spectra for typical smooth systems

Jamerson Bezerra, Carlos Gustavo Moreira, Sandoel Vieira

We prove that among the set of smooth diffeomorphisms there exists a $C^{1}$ -open and dense subset of data such that either the Lagrange spectrum is finite and the dynamics is a Mors…

math.NT2019

$M \ L$ is not closed

Davi Lima, Carlos Matheus, Carlos Gustavo Moreira +1

We show that $1 + 3/ 2$ is a point of the Lagrange spectrum $L$ which is accumulated by a sequence of elements of the complement $M ∖ L$ of the Lagrange spectrum in the…

math.NT2019★ 1 cited

$M ∖ L$ near 3

Davi Lima, Carlos Matheus, Carlos Gustavo Moreira +1

We construct four new elements $3.11 > m_{1} > m_{2} > m_{3} > m_{4}$ of $M \ L$ lying in distinct connected components of $R ∖ L$ , where $M$ is the Markov spectrum and $L$ …

inf(M \ L)=3

Lagrange and Markov spectra for typical smooth systems

M\L is not closed

M∖L near 3

$M \ L$ is not closed

$M ∖ L$ near 3