On Weyl sums and skew products over irrational rotations

DOI10.1016/0304-3975(89)90043-1zbMath0674.28008OpenAlexW2084467380MaRDI QIDQ1121397

Gerhard Larcher, Peter Hellekalek

Publication date: 1989

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(89)90043-1

zbMATH Keywords

ergodicityirrational rotationsdiscrepancyuniform distributionWeyl sumsskew product

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items

On the two-dimensional Kronecker-sequence and a class of ergodic skew- products ⋮ Ensemble d'invariants pour les produits croisés de Anzai ⋮ Summability and speed of convergence in an ergodic theorem ⋮ Speed of convergence of Weyl sums over Kronecker sequences ⋮ Skew products over the irrational rotation ⋮ Ergodicity of certain cylinder flows ⋮ On the boundedness of Weyl sums ⋮ Weak isomorphism of measure-preserving diffeomorphisms ⋮ On Katznelson’s Question for skew-product systems

Cites Work

• Admissible functions with multiple discontinuities
• Ergodicity of cylinder flows arising from irregularities of distribution
• On the ergodicity of a class of skew products
• On functions with bounded remainder
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• Strict Ergodicity and Transformation of the Torus
• Sur une méthode d'estimation des moyennes de Weyl pour les fonctions périodiques et presque périodiques
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