On the entropy of a family of random substitutions

DOI10.1007/S00605-012-0401-1zbMath1283.37019arXiv1103.4777OpenAlexW2130098476MaRDI QIDQ691037

Johan Nilsson

Publication date: 29 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4777

zbMATH Keywords

entropy calculationgeneralised substitutions

Mathematics Subject Classification ID

Combinatorics on words (68R15) Symbolic dynamics (37B10)

Related Items (8)

On the entropy of a two step random Fibonacci substitution ⋮ Dynamical systems arising from random substitutions ⋮ Inflation word entropy for semi-compatible random substitutions ⋮ Measure theoretic entropy of random substitution subshifts ⋮ Diffraction of random noble means words ⋮ Periodic points in random substitution subshifts ⋮ Spectral and arithmetic structures in aperiodic order ⋮ A computer search for planar substitution tilings with \(n\)-fold rotational symmetry

Cites Work

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• On the entropy of a two step random Fibonacci substitution
• Quasiperiodicity and randomness in tilings of the plane
• Almost periodic measures and long-range order in Meyer sets
• Meyer's concept of quasicrystal and quasiregular sets
• Diffractive point sets with entropy

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