One-dimensional quasiperiodic tilings admitting progressions enclosure

DOI10.3103/S1066369X09070019zbMath1195.11084MaRDI QIDQ735983

V. V. Krasil'shchikov, V. G. Zhuravlev, A. V. Shutov

Publication date: 26 October 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

average lattice embeddingsnon-periodic binary tilings

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (10)

Trigonometric integrals over one-dimensional quasilattices of arbitrary codimension ⋮ Geometrization of the Fibonacci numeration system, with applications to number theory ⋮ Additive problem with \(k\) numbers of a special form ⋮ Unnamed Item ⋮ Embeddings of circular orbits and the distribution of fractional parts ⋮ ГЕОМЕТРИЗАЦИЯ СИСТЕМ СЧИСЛЕНИЯ ⋮ Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts ⋮ Distribution of points of one-dimensional quasilattices with respect to a variable module ⋮ Trigonometric sums over one-dimensional quasilattices of arbitrary codimension ⋮ ГЕОМЕТРИЗАЦИЯ ОБОБЩЕННЫХ СИСТЕМ СЧИСЛЕНИЯ ФИБОНАЧЧИ И ЕЕ ПРИЛОЖЕНИЯ К ТЕОРИИ ЧИСЕЛ

Cites Work

• Unnamed Item
• Rauzy tilings and bounded remainder sets on the torus
• Substitutions in dynamics, arithmetics and combinatorics
• One-dimensional Fibonacci tilings
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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