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Metric properties of alternating Lüroth series. (English) Zbl 0735.11035
In an earlier paper [Acta Arith. 55, 311-322 (1990; Zbl 0702.11048)] the authors established that the digits in the alternating Lüroth expansion are stochastically independent and identically distributed. Therefore, the classical limit theorems of probability theory are readily applicable. The paper deals with such limit theorems and their implications.

MSC:
11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
11K60 Diophantine approximation in probabilistic number theory
28D05 Measure-preserving transformations
60F05 Central limit and other weak theorems
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