Irregularities of uniform distribution

DOI10.1007/BF01904883zbMath0475.10040OpenAlexW1981770428MaRDI QIDQ3931486

No author found.

Publication date: 1981

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904883

zbMATH Keywords

uniform distributionergodicity of transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (15)

Dynamical directions in numeration ⋮ On circle-valued cocycles of an ergodic measure preserving transformation ⋮ Approximations of real numbers by the sequence \(\{\) n\(\alpha\) \(\}\) and their metrical theory ⋮ Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations ⋮ Propriétés generiques de processus croises ⋮ Temporal distributional limit theorems for dynamical systems ⋮ Spectral Types of Uniform Distribution ⋮ Invariant measures and asymptotics for some skew products ⋮ Equivalence of Cocycles Under an Irrational Rotation ⋮ Cohomology of step functions under irrational rotations ⋮ Ergodicité d'une transformation cylindrique ⋮ Structure of three-interval exchange transformations. III: Ergodic and spectral properties ⋮ Ergodicity of cylinder flows arising from irregularities of distribution ⋮ On a ``structure intermediate between quasiperiodic and random. ⋮ Good Approximations and Continued Fractions

Cites Work

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• ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES
• Topological dynamics
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Strict Ergodicity and Transformation of the Torus
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
• Well Distributed Sequences of Integers

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