The Anosov–Katok method and pseudo-rotations in symplectic dynamics

We prove that toric symplectic manifolds admit Hamiltonian pseudo-rotations with a finite, and in a sense minimal, number of ergodic measures. The set of ergodic measures of these pseudo-rotations consists of the measure induced by the symplectic volume form and the Dirac measures supported at the f...

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Bibliographic Details
Published in:	Journal of fixed point theory and applications Vol. 24; no. 2
Main Authors:	Le Roux, Frédéric, Seyfaddini, Sobhan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2022 Springer Verlag
Subjects:	Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics Physics Symplectic geometry - A Festschrift in honour of Claude Viterbo’s 60th birthday 53D05 symplectic dynamics unique ergodicity pseudo rotations Anosov–Katok method 37C05 Anosov-Katok method Unique ergodicity Symplectic dynamics Pseudo rotations
ISSN:	1661-7738, 1661-7746
Online Access:	Get full text
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