Open Access
VOL. 48 | 2006 Old and new results on normality
Martine Quefféec

Editor(s) Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy

IMS Lecture Notes Monogr. Ser., 2006: 225-236 (2006) DOI: 10.1214/074921706000000248


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


Published: 1 January 2006
First available in Project Euclid: 28 November 2007

MathSciNet: MR2306203

Digital Object Identifier: 10.1214/074921706000000248

Primary: 11K , 37A
Secondary: 11J

Keywords: continued fractions , Fourier transform , Hausdorff dimension , normal number , uniform distribution

Rights: Copyright © 2006, Institute of Mathematical Statistics

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