Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 4
A note on the lévy constant for continued fractions
- Sayfa
- 315–320
- DOI
- —
Özet
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.
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.