No round wandering domains for -diffeomorphisms of tori

DOI10.1017/ETDS.2018.11zbMath1421.37020arXiv1705.01512OpenAlexW2971326540MaRDI QIDQ5235124

Sergei Merenkov

Publication date: 7 October 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01512

zbMATH Keywords

diffeomorphismwandering domains\(n\)-torus

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Quasiconformal mappings in metric spaces (30L10)

Related Items (2)

Minimal direct products ⋮ On partially hyperbolic diffeomorphisms and regular Denjoy type homeomorphisms

Cites Work

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• Examples of minimal diffeomorphisms on T²semiconjugate to an ergodic translation
• Rigidity of Schottky sets
• Diffeomorphisms of the Torus with Wandering Domains
• Wandering domains for diffeomorphisms of the k-torus: a remark on a theorem by Norton and Sullivan
• Diffeomorphisms of thek-torus with wandering domains

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