238 citations · 725 across the 31 of their papers we have counts for
5 papers · 1 filter
-generic cocycles have one-point Lyapunov spectrum
Alexander Arbieto, Jairo Bochi
We show the sum of the first Lyapunov exponents of linear cocycles is an upper semicontinuous function in the topologies, for any and . This fact,…
Inequalities for numerical invariants of sets of matrices
Jairo Bochi
We prove three inequalities relating some invariants of sets of matrices, such as the joint spectral radius. One of the inequalities, in which proof we use geometric invariant theo…
The Lyapunov exponents of generic volume preserving and symplectic systems
Jairo Bochi, Marcelo Viana
We show that the integrated Lyapunov exponents of volume preserving diffeomorphisms are simultaneously continuous at a given diffeomorphism only if the corresponding Oseledet…
Genericity of zero Lyapunov exponents
Jairo Bochi
We show that, for any compact surface, there is a residual (dense ) set of area preserving diffeomorphisms which either are Anosov or have zero Lyapunov exponents a.e. T…
Robust transitivity and topological mixing for -flows
Flavio Abdenur, Artur Avila, Jairo Bochi
We prove that non-trivial homoclinic classes of -generic flows are topologically mixing. This implies that given a non-trivial -robustly transitive set of a vector fi…