Lattices and multi-dimensional words

DOI10.1016/j.tcs.2004.02.016zbMath1068.37005OpenAlexW2010024936MaRDI QIDQ596052

Valérie Berthé, Robert Tijdeman

Publication date: 10 August 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.02.016

zbMATH Keywords

LatticesTilingsDiscrete planesMultidimensional combinatorics on wordsMultidimensional Sturmian sequences

Mathematics Subject Classification ID

Related Items (6)

Substitutions, abstract number systems and the space filling property ⋮ Study of irreducible balanced pairs for substitutive languages ⋮ A primer of substitution tilings of the Euclidean plane ⋮ Maximal pattern complexity of two-dimensional words ⋮ Rauzy substitutions and multi-dimensional Sturmian words ⋮ A \(d\)-dimensional extension of Christoffel words

Cites Work

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• Substitutions in dynamics, arithmetics and combinatorics
• Non-ergodic interval exchange transformations
• Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences
• Balance properties of multi-dimensional words
• Balanced sequences and optimal routing
• Représentation géométrique de suites de complexité $2n+1$
• Multi-dimensional versions of a theorem of Fine and Wilf and a formula of Sylvester
• Stationary Processes and Prediction Theory. (AM-44)
• Double sequences of low complexity
• Pisot substitutions and Rauzy fractals

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