Ergodicity of certain cylinder flows

DOI10.1007/BF02782848zbMath0764.28011OpenAlexW2002913768MaRDI QIDQ1196329

D. A. Pask

Publication date: 9 December 1992

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

Full work available at URL: https://doi.org/10.1007/bf02782848

zbMATH Keywords

ergodicityirrational rotationskew productcoboundaryessential values of cocyclesvon Neumann-Kakutani adding machine transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Irregularities of distribution, discrepancy (11K38) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (6)

On the two-dimensional Kronecker-sequence and a class of ergodic skew- products ⋮ Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces ⋮ Ergodicity of certain cylinder flows ⋮ Law of large numbers for certain cylinder flows ⋮ Ergodic properties of infinite extensions of area-preserving flows ⋮ Random ergodic theorems and real cocycles

Cites Work

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• Regularities in the distribution of special sequences
• Skew products over the irrational rotation
• Ergodicity of cylinder flows arising from irregularities of distribution
• On the ergodicity of a class of skew products
• On functions with bounded remainder
• On Weyl sums and skew products over irrational rotations
• Ergodicity of certain cylinder flows
• Sigma-finite invariant measures for smooth mappings of the circle
• On Functions that are Trivial Cocycles for a Set of Irrationals

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