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.
Continued fractions, lévy constant, Hausdorff dimension.
"A note on the lévy constant for continued fractions,"
Turkish Journal of Mathematics: Vol. 33:
4, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/1