Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk

DOI10.1007/s40316-021-00173-7arXiv2003.05225OpenAlexW3203269228MaRDI QIDQ6081641

David Bechara Senior

Publication date: 26 October 2023

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05225

zbMATH Keywords

ergodic theoremsymplectic actionCalabi homomorphismlinking numbers

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Symplectic manifolds (general theory) (53D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Canonical transformations in symplectic and contact geometry (53D22) Symplectic and canonical mappings (37J11)

Cites Work

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• ``Enlacements asymptotiques revisited
• Asymptotic links
• Mean action and the Calabi invariant
• Sharp systolic inequalities for Reeb flows on the three-sphere
• Quasi-morphismes et invariant de Calabi
• Diffeomorphisms of the 2-Sphere

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