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math.DS2004
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…
math.DS2004
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…