Hamiltonian pseudo-rotations of projective spaces
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DOI: 10.1007/s00222-018-0818-9
Abstract: The main theme of the paper is the dynamics of Hamiltonian diffeomorphisms of $$\mathbb {C}{\mathbb {P}}^n$$CPn with the minimal possible number of periodic points (equal to $$n+1$$n+1 by Arnold’s conjecture), called here Hamiltonian pseudo-rotations. We… read more here.
Keywords: pseudo; hamiltonian pseudo; pseudo rotations; rotations projective ... See more keywords
A Hölder-Type Inequality for the C0 Distance and Anosov–Katok Pseudo-Rotations
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DOI: 10.1093/imrn/rnad103
Abstract: We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the $C^0$ norm, the $C^0$ norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that sufficiently fast convergence in Hofer/spectral metric forces… read more here.
Keywords: pseudo rotations; anosov katok; lder type; type inequality ... See more keywords