Smooth cocycles for an irrational rotation

DOI10.1007/BF02808220zbMath0769.28013OpenAlexW2003972885MaRDI QIDQ1802765

Kathy D. Merrill, Lawrence W. Baggett

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808220

zbMATH Keywords

irrational rotationergodic skew-productsmooth cocycles not cohomologous to constants

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15) Metric theory of continued fractions (11K50)

Related Items (6)

Rotor interaction in the annulus billiard ⋮ Sums of continuous and differentiable functions in dynamical systems ⋮ Cocycles over interval exchange transformations and multivalued Hamiltonian flows ⋮ On functions that are trivial cocycles for a set of irrationals. II ⋮ Law of large numbers for certain cylinder flows ⋮ Random ergodic theorems and real cocycles

Cites Work

• Examples of ergodic cylindrical cascades
• On the construction of smooth ergodic skew-products
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