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

Frédéric Le Roux () and Sobhan Seyfaddini ()
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Frédéric Le Roux: Sorbonne Université and Université de Paris, CNRS, IMJ-PRG
Sobhan Seyfaddini: Sorbonne Université and Université de Paris, CNRS, IMJ-PRG

A chapter in Symplectic Geometry, 2022, pp 863-901 from Springer

Abstract: Abstract We prove that toric symplectic manifolds admit Hamiltonian pseudo-rotations with a finite, and in a sense minimal, number of ergodic measures.

Keywords: Anosov–Katok method; symplectic dynamics; unique ergodicity; pseudo rotations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19111-4_29

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DOI: 10.1007/978-3-031-19111-4_29

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