On the Pyatetskii-Shapiro normality criterion for continued fractions
type: Item
instance of: scholarly article
title: On the Pyatetskii-Shapiro normality criterion for continued fractions
zbMATH Open document ID: 1297.11089
published in: Journal of Mathematical Sciences (New York)
publication date: 2012-11-28T00:00:00Z
review text: The aim of the present paper is to improve the results described by \textit{N. G. Moshchevitin} and the author [Math. Notes 73, No. 4, 539--550 (2003); translation from Mat. Zametki 73, No. 4, 577--589 (2003; Zbl 1173.37302)] regarding the Pyatetskii-Shapiro normality criterion. The author manages to obtain sharp analogues of that criterion for a dynamical system associated with continued fractions and for some other class of dynamical systems with finite initial tailing following the approach given by \textit{Y. Kifer} et al. [Isr. J. Math. 124, 61--76 (2001; Zbl 1015.11040)].
reviewed by: Chryssoula Ganatsiou
Mathematics Subject Classification ID: 11K50
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37B50
Mathematics Subject Classification ID: 47A35
zbMATH DE Number: 6110758
zbMATH Keywords: Pyatetskii-Shapiro normality criterion
zbMATH Keywords: continued fractions
author: Ilya D. Shkredov
MaRDI profile type: Publication
full work available at URL: s10958-012-0761-z
OpenAlex ID: W2049367650
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DOI: 10.1007/S10958-012-0761-Z
description: scientific article; zbMATH DE number 6110758