Kuzmin's theorem revisited

Authors
Citation
F. Schweiger, Kuzmin's theorem revisited, ERGOD TH DY, 20, 2000, pp. 557-565
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
2
Pages
557 - 565
Database
ISI
SICI code
0143-3857(200004)20:<557:KTR>2.0.ZU;2-Y
Abstract
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 conve rgence rate is worse, but the result applies to multi-dimensional continued fractions and complex continued fractions.