Jamerson Bezerra

collaborators

3 papers

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

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…

Lagrange and Markov spectra for typical smooth systems

An invitation to SL2​(R) cocycles over random dynamics

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

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