Bounded remainder sets on a double covering of the Klein bottle

DOI10.1007/S10958-015-2410-9zbMath1354.11057OpenAlexW567353414MaRDI QIDQ280893

V. G. Zhuravlev

Publication date: 10 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2410-9

zbMATH Keywords

perturbationsKlein bottlebounded remainder set

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• Rauzy tilings and bounded remainder sets on the torus
• Sets of bounded discrepancy for multi-dimensional irrational rotation
• Bounded remainder polyhedra
• Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices
• Multidimensional Hecke theorem on the distribution of fractional parts
• Moduli of toric tilings into bounded remainder sets and balanced words
• One-dimensional Fibonacci tilings and induced two-colour rotations of the circle
• Über die Verteilung der Vielfachen einer komplexen Zahl nach dem Modul des Einheitsquadrats
• Bounded remainder sets

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