A note on the lévy constant for continued fractions

Authors

TING ZHONG

Abstract

In this note, we study the lévy constant of continued fraction expansions. We show that for all x \in [0,1), the upper lévy constant of x is finite except a set with Hausdorff dimension one-half.

DOI

10.3906/mat-0803-12

Keywords

Continued fractions, lévy constant, Hausdorff dimension.

First Page

315

Last Page

320

Recommended Citation

ZHONG, TING (2009) "A note on the lévy constant for continued fractions," Turkish Journal of Mathematics: Vol. 33: No. 4, Article 1. https://doi.org/10.3906/mat-0803-12
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/1