Substitution rules for aperiodic sequences of the cut and project type

DOI10.1088/0305-4470/33/48/319zbMath0978.11006OpenAlexW2078250711MaRDI QIDQ2703494

Zuzana Masáková, Edita Pelantová, Jirí Patera

Publication date: 5 March 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/48/319

zbMATH Keywords

quasicrystalssubstitution rulecut-and-project schemeone-dimensional aperiodic sequencesquadratic unitary Pisot numbers

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Symbolic dynamics (37B10) Automata sequences (11B85) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (3)

Canonical substitutions tilings of Ammann-Beenker type ⋮ Statistical properties and implementation of aperiodic pseudorandom number generators ⋮ Combinatorial properties of infinite words associated with cut-and-project sequences

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