Metrical theory for \(\alpha \)-Rosen fractions

DOI10.4171/JEMS/181zbMath1184.28016arXivmath/0702516OpenAlexW1836015895MaRDI QIDQ1041257

Wolfgang Steiner, Karma Dajani, Cornelis Kraaikamp

Publication date: 1 December 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702516

zbMATH Keywords

Diophantine approximationnatural extensionRosen fractions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics, An entropy problem of the \(\alpha \)-continued fraction maps, CONTINUED FRACTIONS FOR A CLASS OF TRIANGLE GROUPS, Distribution of approximants and geodesic flows, The random continued fraction transformation, Transcendence with Rosen continued fractions, Matching for a family of infinite measure continued fraction transformations, Invariant measures, matching and the frequency of 0 for signed binary expansions, Commensurable continued fractions, \(\alpha\)-expansions with odd partial quotients, Matching for generalised \(\beta\)-transformations, Large and moderate deviation principles for Engel continued fractions, Natural extensions for \(\alpha \)-Rosen continued fractions, Rosen fractions and Veech groups, an overly brief introduction, Ergodicity of \(N\)-continued fraction expansions, Tanaka–Ito α-continued fractions and matching, Matching for random systems with an application to minimal weight expansions

Cites Work

• On a family of continued fraction transformations and their ergodic properties
• Metrical theory for a class of continued fraction transformations and their natural extensions
• A class of continued fractions associated with certain properly discontinuous groups
• Bounded variation and invariant measures
• Natural extensions for the Rosen fractions
• Backward Continued Fractions and their Invariant Measures
• Exact endomorphisms of a Lebesgue space
• A new class of continued fraction expansions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item