Symmetries of universal karyon tilings

DOI10.1007/S10958-024-07549-4MaRDI QIDQ6657319

V. G. Zhuravlev

Publication date: 6 January 2025

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

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Title not available (Why is that?)
• Rauzy tilings and bounded remainder sets on the torus
• Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
• Parallelogram tilings and Jacobi-Perron algorithm
• Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences
• Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions
• The karyon algorithm for expansion in multidimensional continued fractions
• Bounded remainder polyhedra
• Nombres algébriques et substitutions
• Quasiperiodic plane tilings based on stepped surfaces
• Substitutions, Rauzy fractals and tilings
• One-dimensional Fibonacci tilings

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