On mixing diffeomorphisms of the disc

DOI10.1007/s00222-019-00937-7zbMath1448.37052arXiv1509.06906OpenAlexW2996667714WikidataQ126560680 ScholiaQ126560680MaRDI QIDQ2187245

Patrice Le Calvez, Artur Avila, Bassam Fayad, Zhiyuan Zhang, Disheng Xu

Publication date: 2 June 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06906

zbMATH Keywords

surface diffeomorphismszero entropytopologically mixingpseudo-rotationnon-Brjuno rotation number

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (3)

On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder ⋮ The Anosov-Katok method and pseudo-rotations in symplectic dynamics ⋮ Approximate identities and Lagrangian Poincaré recurrence

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