Institute of Mathematical Statistics Lecture Notes - Monograph Series

Old and new results on normality

Martine Quefféec

Abstract

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

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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

2012 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series