Davi Lima

activity

20182023

most cited

M ∖ L

near 3

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

math.DS2023

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

Davi Lima, Carlos Gustavo Moreira, Christian Camilo Silva Villamil

Let $φ_{0}$ be a smooth conservative diffeomorphism of a compact surface $S$ and let $Λ_{0}$ be a transitive horseshoe of $φ_{0}$ . Given a smooth real function $f$ defined in $S$ and a s…

math.DS2020

Dynamical characterization of initial segments of the Markov and Lagrange spectra

Davi Lima, Carlos Gustavo Moreira

We prove that, for every $k \geq 4$ , the sets $M (k)$ and $L (k)$ , which are Markov and Lagrange dynamical spectra related to conservative horseshoes and associated to continued fracti…

math.NT2020

2-Adic Stratification of Totients

André Contiero, Davi Lima

In this paper we study the multiplicities and the asymptotic behaviour of the numbers of totients in the strata given by 2-adic valuation.

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 $L$ …

math.NT2018

On the distribution of totients 2 mod. 4

André Contiero, Davi Lima

In this paper we study the distribution of totients $2$ mod. $4$ . We prove that the asymptotic magnitude of such totients with multiplicity two is half of that of prime numbers. As…

math.DS2018

Phase Transitions on the Markov and Lagrange Dynamical Spectra