Institute of Mathematical Statistics Lecture Notes - Monograph Series

Old and new results on normality

Martine Quefféec

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Abstract

We present a partial survey on normal numbers, including Keane’s contributions, and with recent developments in different directions.

Chapter information

Source
Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 225-236

Dates
First available in Project Euclid: 28 November 2007

Permanent link to this document
http://projecteuclid.org/euclid.lnms/1196285823

Digital Object Identifier
doi:10.1214/074921706000000248

Mathematical Reviews number (MathSciNet)
MR2306203

Subjects
Primary: 11K 37A
Secondary: 11J

Keywords
normal number uniform distribution continued fractions Hausdorff dimension Fourier transform

Rights
Copyright © 2006, Institute of Mathematical Statistics

Citation

Quefféec, Martine. Old and new results on normality. Dynamics & Stochastics, 225--236, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006. doi:10.1214/074921706000000248. http://projecteuclid.org/euclid.lnms/1196285823.


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