Non literal transducers and some problems of normality
type: Item
instance of: scholarly article
title: Non literal transducers and some problems of normality
zbMATH Open document ID: 0817.11037
author: François Blanchard
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1995-08-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93584
review text: A primary purpose of this thought provoking paper is to discuss how transducers and ergodic techniques might deal with questions concerning the preservation of normality and near normality of presentations of real numbers under certain base changes. In particular, the author gives a new proof, using automata and results from symbolic dynamics, of Maxfield's theorem to the effect that normality to base \(p\) is equivalent to normality to base \(p^ k\).
Mathematics Subject Classification ID: 11K16
Mathematics Subject Classification ID: 68Q45
zbMATH DE Number: 556380
zbMATH Keywords: transducers
zbMATH Keywords: normality
zbMATH Keywords: real numbers
zbMATH Keywords: base changes
zbMATH Keywords: automata
zbMATH Keywords: Maxfield's theorem
MaRDI profile type: Publication
OpenAlex ID: W2322287240
cites work: The entropy of a derived automorphism
cites work: Q3714479
cites work: Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
cites work: Rel�vement d'une mesure ergodique par un codage
cites work: Generic sequences, transducers and multiplication of normal numbers
cites work: Q4037000
cites work: On a paper of Niven and Zuckerman
cites work: Representations of numbers and finite automata
cites work: Finite beta-expansions
cites work: Subsequences of normal sequences
cites work: Normal \(k\)-tuples
cites work: Induced Flows
DOI: 10.5802/JTNB.95
description: scientific article; zbMATH DE number 556380