Non-standard real-analytic realizations of some rotations of the circle

DOI10.1017/etds.2015.110zbMath1377.37065arXiv1501.01531OpenAlexW3101627535MaRDI QIDQ5364854

Shilpak Banerjee

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1501.01531

zbMATH Keywords

irrational rotationtwo-dimensional torusconjugation method

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (5)

Real-analytic realization of uniform circular systems and some applications ⋮ Non-standard real-analytic realizations of some rotations of the circle – CORRIGENDUM ⋮ Anatole Katok ⋮ Real-analytic AbC constructions on the torus ⋮ Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior

Cites Work

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• Analytic uniquely ergodic volume preserving maps on odd spheres
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• Nonstandard smooth realization of translations on the torus
• ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
• Analytic nonlinearizable uniquely ergodic diffeomorphisms on \mathbb T^{\mathbf{2}}
• Constructions in elliptic dynamics
• Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric
• Non-standard smooth realizations of Liouville rotations

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