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Kuzmin's theorem revisited

Published online by Cambridge University Press:  01 April 2000

F. SCHWEIGER
F. SCHWEIGER
Affiliation:
Institut für Mathematik, Universität Salzburg, Hellbrunnerstraße 34, A-5020 Salzburg, Austria (e-mail: fritz.schweiger@sbg.ac.at)
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Abstract

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Iosifescu pointed out that earlier attempts to generalize Kuzmin's theorem to fibred systems have a gap. In this paper a new proof is given. The convergence rate is worse, but the result applies to multi-dimensional continued fractions and complex continued fractions.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000, pp. 557 - 565
Copyright
© 2000 Cambridge University Press