On normal numbers for continued fractions

Authors
Kraaikamp, C Nakada, H
Citation
C. Kraaikamp et H. Nakada, On normal numbers for continued fractions, ERGOD TH DY, 20, 2000, pp. 1405-1421
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
5
Pages
1405 - 1421
Database
ISI
SICI code
0143-3857(200010)20:<1405:ONNFCF>2.0.ZU;2-S
Abstract
In this paper we will show that any number normal with respect to the regul ar continued fraction (RCF) is also normal with respect to the continued fr action from below (BCF) and the nearest integer continued fraction (NICF). Furthermore, we will show that in case of the NICF a number is normal with respect to the RCF-expansion if and only if it is NICF-normal. This can be generalized to a larger class of semi-regular continued fraction expansions .