Convergence of continued fraction type algorithms and generators

DOI10.1007/BF01489454zbMath0901.11025MaRDI QIDQ1376015

Cornelis Kraaikamp, Ronald W. J. Meester

Publication date: 22 November 1998

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

Full work available at URL: https://eudml.org/doc/178797

zbMATH Keywords

continued fraction expansionsapproximationsmeasure preserving mapsnumber-expansion algorithmspartition generators

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Cites Work

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• On a Bernoulli property for multidimensional mappings with finite range structure
• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Invariant measures for maps of continued fraction type
• The metrical theory of Jacobi-Perron algorithm
• The Jacobi-Perron algorithm its theory and application
• Almost everywhere exponential convergence of the modified Jacobi—Perron algorithm
• A new class of continued fraction expansions

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