Statistic and ergodic properties of Minkowski's diagonal continued fraction

DOI10.1016/0304-3975(89)90044-3zbMath0671.10029OpenAlexW2006572928MaRDI QIDQ1119683

Cornelis Kraaikamp

Publication date: 1989

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(89)90044-3

zbMATH Keywords

algorithmpropertiesergodicregular continued fraction expansionapproximation of a real numberMinkowski's diagonal continued fractionS-expansionstatistic properties

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (5)

Maximal $S$-expansions are Bernoulli shifts ⋮ Three consecutive approximation coefficients: asymptotic frequencies in semi-regular cases ⋮ Time reversed $S$-expansions ⋮ On a theorem of Davenport and Schmidt ⋮ A Gauss-Kusmin theorem for optimal continued fractions

Cites Work

• Metrical theory for optimal continued fractions
• Metrical theory for a class of continued fraction transformations and their natural extensions
• A new class of continued fraction expansions
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