Metrical diophantine approximation for continued fraction like maps of the interval

DOI10.1090/S0002-9947-03-03371-3zbMath1051.11038MaRDI QIDQ4813788

Andrew Haas, David Molnar

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationcontinued fractionsinterval maps

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory (11J83) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

Conformal graph directed Markov systems: beyond finite irreducibility ⋮ Haas-Molnar continued fractions and metric Diophantine approximation ⋮ A dependence with complete connections approach to generalized Rényi continued fractions ⋮ Convergence rate for Rényi-type continued fraction expansions ⋮ The distribution of geodesic excursions out the end of a hyperbolic orbifold and approximation with respect to a Fuchsian group ⋮ The Hausdorff dimension spectrum of Renyi-like continued fractions

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• Natural extensions for the Rosen fractions
• Backward continued fractions, Hecke groups and invariant measures for transformations of the interval
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
• A number-theoretic class of weak Bernoulli transformations

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