34 research outputs found
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
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 exponent of the periodic points. We also prove that
generic symplectic diffeomorphisms outside the Anosov ones do not admit
symbolic extension and finally we give examples of volume preserving
diffeomorphisms which are not point of upper semicontinuity of entropy function
in topology