A carregar...
Publicação
Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 223.2 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
Let AC_D(M,SL(d,R)) denote the pairs (f,A) so that f ∈ A ⊂ Diff (M) is a C^1-Anosov transitive diffeomorphisms and A is an SL(d,R) cocycle dominated with respect to f. We prove that open and densely in AC_D(M,SL(d,R)), in appropriate topologies, the pair (f,A) has simple spectrum with respect to the unique maximal entropy measure μ_f. Then, we prove prevalence of trivial spectrum near the dynamical cocycle of an area-preserving map and also for generic cocycles in Aut_Leb(M) × Lp(M,SL(d,R)).
Descrição
Palavras-chave
Linear cocycles Lyapunov exponents Anosov diffeomorphisms Topological conjugacy Maximal entropy measures
Contexto Educativo
Citação
Bessa, M., Varandas, P. Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics. Acta. Math. Sin.-English Ser. 31, 1113–1122 (2015)
Editora
Springer