A construction of a normal number for the continued fraction transformation
β Scribed by Roy Adler; Michael Keane; Meir Smorodinsky
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 421 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
## Abstract We consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalised fluctuation process of the digit sums converges strongly distributional to a random variable uniformly distributed on the unit interval. For
We improve a result of D. Knuth about the convergence of approximations of a continued fraction. 1998 Academic Press 0. INTRODUCTION Recently several authors have been interested by the convergence of distribution functions for various quantities related to the continued fraction expansion and more