The karyon algorithm for expansion in multidimensional continued fractions

DOI10.1007/s10958-019-04492-7zbMath1440.40002OpenAlexW2970653788MaRDI QIDQ2011296

V. G. Zhuravlev

Publication date: 6 December 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04492-7

zbMATH Keywords

best approximationmultidimensional continued fractionsimplex-karyon algorithmkaryon algorithm

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fraction calculations (number-theoretic aspects) (11Y65) Metric theory of continued fractions (11K50) Convergence and divergence of continued fractions (40A15) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (4)

Diophantine approximations of linear forms ⋮ \(\mathcal{L}\)-algorithm for approximation of Diophantine systems of linear forms ⋮ Local structure of karyon tilings ⋮ Symmetry properties of karyon tilings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm
• Rauzy tilings and bounded remainder sets on the torus
• The three-dimensional Poincaré continued fraction algorithm
• Bounded remainder polyhedra
• On some symmetric multidimensional continued fraction algorithms
• One-dimensional Fibonacci tilings

This page was built for publication: The karyon algorithm for expansion in multidimensional continued fractions