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Weyl’s Uniform Distribution Under Periodic Perturbation

Vilmos Totik

Vilmos Totik

ELKH-SZTE Analysis and Stochastics Research Group, Bolyai Institute University of SzegedSzeged, Hungary
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Totik, Vilmos
  
Dec 12, 2022
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Published Online: Dec 12, 2022
Page range: 127 - 160
Received: May 06, 2022
Accepted: Aug 28, 2022
DOI: https://doi.org/10.2478/udt-2022-0015
Keywords
© 2022 Vilmos Totik, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) density and (mod 1) uniform distribution turn out to be different.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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