Embeddings of circular orbits and the distribution of fractional parts

DOI10.1090/spmj/1365zbMath1354.11052OpenAlexW1949016540MaRDI QIDQ2948526

V. G. Zhuravlev

Publication date: 1 October 2015

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

Full work available at URL: https://doi.org/10.1090/spmj/1365

zbMATH Keywords

bounded remainder setsdistribution of fractional partsHecke theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (1)

Bounded remainder sets

Cites Work

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• Rauzy tilings and bounded remainder sets on the torus
• Exchanged toric developments and bounded remainder sets
• One-dimensional quasiperiodic tilings admitting progressions enclosure
• Sums of fractional parts of integer multiples of an irrational
• On sums of fractional parts \(\{na+y\}\)
• Bounded remainder polyhedra
• Multidimensional Hecke theorem on the distribution of fractional parts
• Moduli of toric tilings into bounded remainder sets and balanced words
• One-dimensional Fibonacci tilings

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