Partial quotients of continued fractions and beta-expansions
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Date
2008
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Publisher
IOP PUBLISHING LTD
Abstract
For each real number, we obtain an asymptotic for the number of partial quotients in the continued fraction expansion that can be obtained from the first n terms of its beta-expansion. A novelty of our approach is the use of methods of the theory of dynamical systems.
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Keywords
MULTIFRACTAL ANALYSIS, TRANSFORMATIONS