Continued fractions and the \(d\)-dimensional Gauss transformation

DOI10.1007/s002200000290zbMath0984.11040OpenAlexW1969205259MaRDI QIDQ5940490

D. M. Hardcastle, Konstantin M. Khanin

Publication date: 9 August 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200000290

zbMATH Keywords

invariant measureJacobi-Perron algorithmnatural extension

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70)

Related Items (6)

On some symmetric multidimensional continued fraction algorithms ⋮ Thed-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents ⋮ The Three-Dimensional Gauss Algorithm Is Strongly Convergent Almost Everywhere ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map) ⋮ A multidimensional continued fraction based on a high-order recurrence relation

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