On the pyatetskii-shapiro normality criterion for continued fractions

被引：0
|
作者：
I. D. Shkredov
机构：
[1] Russian Academy of Sciences,Moscow State University, Steklov Mathematical Institute
来源：
Journal of Mathematical Sciences | 2012年 / 182卷 / 4期
关键词：
Characteristic Function; Ergodic Theorem; Asymptotic Equality; Continue Fraction Expansion; Bernoulli Shift;
D O I：
10.1007/s10958-012-0761-z
中图分类号：
学科分类号：
摘要：
Analogues of the Pyatetskii-Shapiro normality criterion for continued fractions and for f-expandings with finite initial tiling are established, improving some results by Moshchevitin and Shkredov obtained in the 2002 paper “On Pyatetskii-Shapiro criterion of normality.”
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页码：567 / 575
页数：8
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