Article
A NOTE ON THE DISTRIBUTIONS OF (log n) mod 1
Authors
Abstract
For sequences sufficiently close to (a log n), with an arbitrary real constant a, this note describes the precise asymptotics of the associated empiri- cal distributions modulo one, with respect to the Kantorovich metric as well as a discrepancy-style metric. In particular, the note demonstrates how these asymp- totics depend on a in a delicate, discontinuous way. The results strengthen and complement known facts in the literature.
Keywords
Slowly changing sequence, distribution modulo one, Kantorovich metric.
Citation
Berger, A. (2022). A NOTE ON THE distributions OF (log n) mod 1. Uniform Distribution Theory, 17(2), 84–108. https://doi.org/10.2478/udt-2022-0013
A. Berger, “A NOTE ON THE distributions OF (log n) mod 1,” Uniform Distribution Theory, vol. 17, no. 2, pp. 84–108, 2022, doi: 10.2478/udt-2022-0013.
Berger A. A NOTE ON THE distributions OF (log n) mod 1. Uniform Distribution Theory. 2022;17(2):84–108. doi:10.2478/udt-2022-0013.
Berger, A. (2022), ‘A NOTE ON THE distributions OF (log n) mod 1’, Uniform Distribution Theory, 17(2), pp. 84–108. Available at: https://doi.org/10.2478/udt-2022-0013.
Berger, Arno. “A NOTE ON THE Distributions OF (Log N) Mod 1.” Uniform Distribution Theory, vol. 17, no. 2, 2022, pp. 84–108. https://doi.org/10.2478/udt-2022-0013.
Berger, Arno. “A NOTE ON THE Distributions OF (Log N) Mod 1.” Uniform Distribution Theory 17, no. 2 (2022): 84–108. https://doi.org/10.2478/udt-2022-0013.
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- DOI: 10.2478/udt-2022-0013
- Type: article
- Source: Uniform distribution theory
- Published: 2022-12-01
- OpenAlex ID: W4311792362
Published by: Engineering Journals
