Some remarks on Kuzmin's theorem for F-expansions

DOI10.1016/0022-314X(73)90065-6zbMath0256.10027MaRDI QIDQ2558884

Fritz Schweiger, Michael S. Waterman

Publication date: 1973

Published in: Journal of Number Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (10)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Generalization of a theorem of Kusmin ⋮ Invariant measures for continued fraction algorithms with finitely many digits ⋮ Approximations of real numbers by the sequence \(\{\) n\(\alpha\) \(\}\) and their metrical theory ⋮ Invariant measures for maps of continued fraction type ⋮ Gedämpfte zahlentheoretische Transformationen ⋮ F-expansions of rationals ⋮ Remarks on invariant measures for number theoretic transformations ⋮ Statistical properties for nonhyperbolic maps with finite range structure ⋮ A Jacobi algorithm and metric theory for greatest common divisors

Cites Work

• Metrische Sätze über den Jacobischen Algorithmus
• Metrische Theorie einer Klasse zahlentheoretischer Transformationen
• Some ergodic properties of multi-dimensional f-expansions
• A Kuzmin theorem for a class of number theoretic endomorphisms

This page was built for publication: Some remarks on Kuzmin's theorem for F-expansions