A note on the lévy constant for continued fractions

Authors : Ting ZHONG

Pages : 315-320

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Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Continued fractions, lévy constant, Hausdorff dimension