A carregar...
Publicação
Denseness of ergodicity for a class of volume-preserving flows
Autores
Orientador(es)
Resumo(s)
We consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.
Descrição
Palavras-chave
Dominated splitting Partial hyperbolicity Volume-preserving flows Lyapunov exponents Stable ergodicity
Contexto Educativo
Citação
M. Bessa, J. Rocha, Denseness of ergodicity for a class of volume-preserving flows, Portugaliae Mathematica, 68, 1, 1–17, 2011
Editora
European Mathematical Society