On transformations of distribution functions on the unit interval -- a generalization of the Gauß-Kuzmin-Lévy theorem

DOI10.4171/ZAA/567zbMath0778.58042MaRDI QIDQ687222

Peter Schatte

Publication date: 3 November 1993

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

invariant measuresuniform distribution of sequencesFrobenius-Perron operatorsmetric theory of continued fractionspiecewise monotonic transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99) Metric theory of continued fractions (11K50) General theory of distribution modulo (1) (11K06)

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