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20102016
most citedA lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms

16 citations · 40 across the 7 of their papers we have counts for

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math.DS2010★ 16 cited

A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms

Thiago Catalan, Ali Tahzibi

We prove that a generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov expone…

math.DS2010

Hyperbolicity in the Volume Preserving Scenario

Alexander Arbieto, Thiago Catalan

Hayashi has extended a result of Mañé, proving that every diffeomorphism which has a -neighborhood , where all periodic points of any are hy…