On ergodic theory of A. Schmidt's complex continued fractions over Gaussian field

DOI10.1007/BF01501166zbMath0635.10042MaRDI QIDQ1097305

Hitoshi Nakada

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178369

zbMATH Keywords

geodesicsinvariant measurenatural extension transformationcomplex continued fractions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Continued fractions; complex-analytic aspects (30B70) Metric theory of continued fractions (11K50)

Related Items (7)

Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields ⋮ On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields ⋮ On the Legendre and the Lenstra constants for complex continued fractions introduced by J. Hurwitz ⋮ On the construction of the natural extension of the Hurwitz complex continued fraction map ⋮ Diophantine approximation in the field \(\mathbb Q(i\sqrt 2)\) ⋮ The dynamics of Super-Apollonian continued fractions

Cites Work

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• Algorithms with mediant convergents and their metrical theory
• Ergodic theory for complex continued fractions
• Diophantine approximation of complex numbers
• Fractions

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