Ergodicity of \(N\)-continued fraction expansions

DOI10.1016/j.jnt.2013.02.017zbMath1325.11066OpenAlexW2036454529MaRDI QIDQ740863

Niels van der Wekken, Karma Dajani, Cornelis Kraaikamp

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.02.017

zbMATH Keywords

infinite invariant measure\(\sigma\)-finite

Mathematics Subject Classification ID

Related Items (17)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Invariant measures for continued fraction algorithms with finitely many digits ⋮ Orbits of \(N\)-expansions with a finite set of digits ⋮ METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ Haas-Molnar continued fractions and metric Diophantine approximation ⋮ A generalization of the Gauss-Kuzmin-Wirsing constant ⋮ Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms ⋮ Random \(N\)-continued fraction expansions ⋮ Diophantine approximation by negative continued fraction ⋮ Continued fraction expansions with variable numerators ⋮ Dependence with complete connections and the Gauss-Kuzmin theorem for \(N\)-continued fractions ⋮ Alternating $N$-expansions ⋮ Unnamed Item ⋮ Arithmetic progressions in self-similar sets ⋮ Parry’s topological transitivity and $f$-expansions ⋮ A generalization of Gauss-Kuzmin-Lévy theorem ⋮ On the \(r\)-continued fraction expansions of reals

Cites Work

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• On continued fractions and finite automata
• The backward continued fraction map and geodesic flow
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• Natural extensions for the Rosen fractions
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