Uniform Distribution Theory
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Journal

Uniform Distribution Theory


Volume
& Issue

Volume 17, Issue 2


Published
on

August 28, 2022


Pages

136-170


DOI

Article

Weyl’s Uniform Distribution Under Periodic Perturbation


Authors

Vilmos Totik Affiliation:
ELKH-SZTE Analysis and Stochastics Research Group Bolyai Institute University of Szeged Aradi v. tere 1 HU-6720 Szeged HUNGARY


Abstract

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.


Keywords

Weyl’s theory, density (mod 1), uniform distribution (mod 1), polynomial se quences, vector sequences, periodic perturbations.


Citation

Totik, V. (2022). Weyl’s uniform distribution under periodic perturbation. Uniform Distribution Theory, 17(2), 136–170. https://doi.org/10.2478/udt-2022-0015
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