most citedA dichotomy for the Hofer growth of area preserving maps on the sphere via symmetrization

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math.SG2024★ 1 cited

A dichotomy for the Hofer growth of area preserving maps on the sphere via symmetrization

Lev Buhovsky, Ben Feuerstein, Leonid Polterovich +1

We prove that autonomous Hamiltonian flows on the two-sphere exhibit the following dichotomy: the Hofer norm either grows linearly or is bounded in time by a universal constant C.…