Well-approximable angles and mixing for flows on 𝕋² with nonsingular fixed points

DOI10.1090/S1079-6762-04-00136-2zbMath1068.37027OpenAlexW1560639268MaRDI QIDQ4681000

Andrey Kochergin

Publication date: 14 June 2005

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232182

zbMATH Keywords

mixinglogarithmic singularitiesspecial flowscircle rotations

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10)

Related Items (5)

Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfaces ⋮ Absence of mixing in area-preserving flows on surfaces ⋮ Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces ⋮ Multiple mixing for a class of conservative surface flows ⋮ A smooth mixing flow on a surface with nondegenerate fixed points

Cites Work

• Topological and ergodic properties of closed 1-forms with incommensurable periods
• Mixing for some classes of special flows over rotations of the circle
• Non-degenerate fixed points and mixing in flows on a 2-torus
• Non-degenerate fixed points and mixing in flows on a 2-torus. II

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