Jamerson Bezerra

activity

20192025

collaborators

8 papers

math.DS2025

A version of Oseledets for proximal random dynamical System on the circle

Jamerson Bezerra, Graccyela Salcedo

We study proximal random dynamical systems of homeomorphisms of the circle without a common fixed point. We prove the existence of two random points that govern the behavior of the…

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.DS2023

An invitation to $SL_{2} (R)$ cocycles over random dynamics

Jamerson Bezerra, Mauricio Poletti

The purpose of these notes is to discuss the advances in the theory of Lyapunov exponents of linear $SL_{2} (R)$ cocycles over hyperbolic maps. The main focus is aroun…

math.DS2022

A dynamical Thouless formula

Jamerson Bezerra, Ao Cai, Pedro Duarte +2

In this paper we establish an abstract, dynamical Thouless-type formula for affine families of $GL (2, R)$ cocycles. This result extends the classical formula rela…

math.DS2022

Upper bound on the regularity of the Lyapunov exponent for random products of matrices

Jamerson Bezerra, Pedro Duarte

We prove that if $μ$ is a finitely supported measure on $SL_{2} (R)$ with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function…

math.DS2021

Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

Jamerson Bezerra, Adriana Sánchez, El Hadji Yaya Tall

We show that the top Lyapunov exponent $λ_{+} (p)$ , $p = (p_{1}, \dots, p_{N})$ with $p_{i} > 0$ for each $i$ , associated with a random product of quasi-periodic cocycles depends real anal…

math.DS2021

Existence of periodic points with real and simple spectrum for diffeomorphisms in any dimension

Jamerson Bezerra, Carlos Gustavo Moreira

We prove that for any $C^{r}$ diffeomorphism, $f$ , of a compact manifold of dimension $d > 2$ , $1 \leq r \leq \infty$ , admitting a transverse homoclinic intersection, we can find a $C^{1}$ …

math.DS2019

Random product of quasi-periodic cocycles