Hofer growth of $C^1$ -generic Hamiltonian flows

preprint2015arXivOpen access

We prove that on certain closed symplectic manifolds a $C^1$ -generic cyclic subgroup of the universal cover of the group of Hamiltonian diffeomorphisms is undistorted with respect to the Hofer metric.

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Hofer growth of $C^1$ -generic Hamiltonian flows

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Hofer growth of C1C^1C1-generic Hamiltonian flows

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Hofer growth of $C^1$ -generic Hamiltonian flows