In this paper we will show that any number normal with respect to the regular continued fraction (RCF) is also normal with respect to the continued fraction 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.
|Number of pages||17|
|Journal||Ergodic Theory and Dynamical Systems|
|Publication status||Published - 2000 Oct|
ASJC Scopus subject areas
- Applied Mathematics