Ergodicity of cylinder flows arising from irregularities of distribution

DOI10.1007/BF02760616zbMath0563.28010OpenAlexW2063699339MaRDI QIDQ1057382

Ishai Oren

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02760616

zbMATH Keywords

irregularities of distributionergodicity of cylinder flows

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Irregularities of distribution, discrepancy (11K38)

Related Items (18)

A temporal central limit theorem for real-valued cocycles over rotations ⋮ On recurrence and ergodicity for geodesic flows on non-compact periodic polygonal surfaces ⋮ Recurrence in unipotent groups and ergodic nonabelian group extensions ⋮ An example of compact extensions of Kronecker factors and skew products of irrational rotations with finite groups ⋮ On functions with bounded remainder ⋮ On Weyl sums and skew products over irrational rotations ⋮ Cocycles over interval exchange transformations and multivalued Hamiltonian flows ⋮ Skew products over the irrational rotation ⋮ Rational ergodicity of step function skew products ⋮ On multiple ergodicity of affine cocycles over irrational rotations ⋮ 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 ⋮ Joint and double coboundaries of commuting contractions ⋮ Unnamed Item ⋮ Ergodicity of skew products over linearly recurrent IETs

Cites Work

• Unnamed Item
• Unnamed Item
• Irregularities of uniform distribution
• Topological dynamics
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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