Old and new results on normality
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Institute of Mathematical Statistics Lecture Notes - Monograph Series

Old and new results on normality

Martine Quefféec

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.

Abstract

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

Primary Subjects: 11K, 37A
Secondary Subjects: 11J
Keywords: normal number; uniform distribution; continued fractions; Hausdorff dimension; Fourier transform

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285823
Mathematical Reviews (MathSciNet): MR2306203

Digital Object Identifier: doi:10.1214/074921706000000248

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2009 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series