J. Bochi

activity

20012023

most citedGenericity of zero Lyapunov exponents

238 citations · 725 across the 31 of their papers we have counts for

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Showing 2002 · math.DSShow all

4 papers · 2 filters

math.DS2002★ 23 cited

$L^{p}$ -generic cocycles have one-point Lyapunov spectrum

Alexander Arbieto, Jairo Bochi

We show the sum of the first $k$ Lyapunov exponents of linear cocycles is an upper semicontinuous function in the $L^{p}$ topologies, for any $1 \leq p \leq \infty$ and $k$ . This fact,…

math.DS2002★ 2 cited

The Lyapunov exponents of generic volume preserving and symplectic systems

Jairo Bochi, Marcelo Viana

We show that the integrated Lyapunov exponents of $C^{1}$ volume preserving diffeomorphisms are simultaneously continuous at a given diffeomorphism only if the corresponding Oseledet…

math.DS2002★ 238 cited

Genericity of zero Lyapunov exponents

Jairo Bochi

We show that, for any compact surface, there is a residual (dense $G_{δ}$ ) set of $C^{1}$ area preserving diffeomorphisms which either are Anosov or have zero Lyapunov exponents a.e. T…

math.DS2002★ 11 cited

Robust transitivity and topological mixing for $C^{1}$ -flows

Flavio Abdenur, Artur Avila, Jairo Bochi

We prove that non-trivial homoclinic classes of $C^{r}$ -generic flows are topologically mixing. This implies that given $Λ$ a non-trivial $C^{1}$ -robustly transitive set of a vector fi…

Lp-generic cocycles have one-point Lyapunov spectrum

The Lyapunov exponents of generic volume preserving and symplectic systems

Genericity of zero Lyapunov exponents

Robust transitivity and topological mixing for C1-flows

$L^{p}$ -generic cocycles have one-point Lyapunov spectrum

Robust transitivity and topological mixing for $C^{1}$ -flows