Jamerson Bezerra

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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.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

Jamerson Bezerra, Mauricio Poletti

Given a finite set of quasi-periodic cocycles the random product of them is defined as the random composition according to some probability measure. We prove that the set of $C^{r}$ ,…