16 citations · 27 across the 4 of their papers we have counts for
4 papers
Ergodic theory of generic continuous maps
Flávio Abdenur, Martin Andersson
We study the ergodic properties of generic continuous dynamical systems on compact manifolds. As a main result we prove that generic homeomorphisms have convergent Birkhoff average…
Transitivity and topological mixing for C1 diffeomorphisms
Flavio Abdenur, Sylvain Crovisier
We prove that, on connected compact manifolds, both C1-generic conservative diffeomorphisms and C1-generic transitive diffeomorphisms are topologically mixing. This is obtained thr…
Nonuniform hyperbolicity for C^1-generic diffeomorphisms
Flavio Abdenur, Christian Bonatti, Sylvain Crovisier
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that homoclinic classes of arbitrary diffeomorphisms exhibit ergodic measures whose supp…
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…