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

Autor:	Roux, Frédéric Le, Seyfaddini, Sobhan
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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 fixed points of the torus action. Our construction relies on the conjugation method of Anosov and Katok. Comment: 48 pages, 7 colorful figures, comments welcome! V2: corrected typographical errors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.06237 Zobrazit plný text záznamu View this record from Arxiv