9 citations · 9 across the 4 of their papers we have counts for
4 papers
Partial Hyperbolicity for Symplectic Diffeomorphisms
Ali Tahzibi, Vanderlei Horita
We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are pa…
On the continuity of the SRB entropy for endomorphisms
Jose F. Alves, Krerley Oliveira, Ali Tahzibi
We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the en…
Robust transitivity implies almost robust ergodicity
Ali Tahzibi
In this paper we show the relation between robust transitivity and robust ergodicity for conservative diffeomorphisms. In dimension 2 robustly transitive systems are robustly ergod…
Stably ergodic diffeomorphisms which are not partially hyperbolic
Ali Tahzibi
We show stable ergodicity of a class of conservative diffeomorphisms which do not have any hyperbolic invariant subbundle. Moreover the uniqueness of SRB measures for non-conservat…