Simplex-karyon algorithm of multidimensional continued fraction expansion

DOI10.1134/S008154381708017XzbMath1396.11102OpenAlexW2793831042MaRDI QIDQ1661321

V. G. Zhuravlev

Publication date: 16 August 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381708017x

zbMATH Keywords

continued fractionsconvergentsFarey hyperplanesimplex-karyon algorithm

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50)

Related Items (6)

Local structure of karyon tilings ⋮ Symmetry properties of karyon tilings ⋮ Dual Diophantine systems of linear inequalities ⋮ Linear-fractional invariance of multidimensional continued fractions ⋮ Linear-fractional invariance of the simplex-module algorithm for expanding algebraic numbers in multidimensional continued fractions ⋮ Localized Pisot matrices and joint approximations of algebraic numbers

Cites Work

• Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm
• Diophantine approximation
• Farey nets and multidimensional continued fractions
• The three-dimensional Poincaré continued fraction algorithm
• Über Fareynetze in n Dimensionen
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