Moduli of toric tilings into bounded remainder sets and balanced words

DOI10.1090/S1061-0022-2013-01256-8zbMath1360.37043MaRDI QIDQ2849191

V. G. Zhuravlev

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

distribution of fractional partsHecke theorembounder remainder sets on the torus

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symbolic dynamics (37B10) Metric theory of continued fractions (11K50) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (7)

Bounded remainder sets on a double covering of the Klein bottle ⋮ Differentiation of induced toric tiling and multidimensional approximations of algebraic numbers ⋮ Unnamed Item ⋮ Embeddings of circular orbits and the distribution of fractional parts ⋮ Unimodularity of induced toric tilings ⋮ Bounded remainder sets under torus exchange transformations ⋮ Symmetrization of bounded remainder sets

Cites Work

• Languages under substitutions and balanced words
• Rauzy tilings and bounded remainder sets on the torus
• Exchanged toric developments and bounded remainder sets
• Balanced words
• Balanced sequences and optimal routing
• Nombres algébriques et substitutions
• Efficient balanced codes
• Symbolic Dynamics II. Sturmian Trajectories

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