3 problems

Let the disk carry its standard analytic symplectic structure, and let an analytic symplectic perturbation of the identity mean an analytic symplectic diffeomorphism sufficiently c…

Let $(S,\Omega)$ be an analytic closed symplectic surface, and let $f\in \operatorname{Diff}^{\omega}_{\Omega}(S)$ be an analytic symplectic diffeomorphism displaying an elliptic p…

Let $S$ be an analytic surface equipped with a symplectic form, and let $Lambda$ denote the relevant dynamical exponent function for an analytic symplectic surface map. A map has…