'The mother of all continued fractions'

DOI10.4064/cm-84/85-1-109-123zbMath0961.11027OpenAlexW1526257431MaRDI QIDQ4511586

Karma Dajani, Cornelis Kraaikamp

Publication date: 24 May 2001

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210790

zbMATH Keywords

semi-regular continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions (11A55)

Related Items (15)

Invariant measures for continued fraction algorithms with finitely many digits ⋮ The random continued fraction transformation ⋮ Geodesic continued fractions ⋮ Matching for a family of infinite measure continued fraction transformations ⋮ Diophantine approximation by negative continued fraction ⋮ Error approximation for backwards and simple continued fractions ⋮ \(S\)-expansions in dimension two ⋮ Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients ⋮ The Hausdorff dimension spectrum of Renyi-like continued fractions ⋮ Metric properties of Denjoy's canonical continued fraction expansion ⋮ A note on Hurwitzian numbers ⋮ Description of Generalized Continued Fractions by Finite Automata ⋮ Distribution of periodic points of certain Gauss shifts with infinite invariant measure ⋮ Trimmed sums for non-negative, mixing stationary processes. ⋮ Geodesic flows and the mother of all continued fractions

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