Rauzy Fractal of the Smallest Substitution Associated with the Smallest Pisot Number

DOI10.1080/10586458.2018.1446063zbMath1441.28010OpenAlexW2795744648MaRDI QIDQ5114451

Paul Mercat

Publication date: 23 June 2020

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

Full work available at URL: https://doi.org/10.1080/10586458.2018.1446063

zbMATH Keywords

Rauzy fractalssubstitutionsPisot numberHokkaido

Mathematics Subject Classification ID

Combinatorics on words (68R15) Fractals (28A80) Symbolic dynamics (37B10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Cites Work

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• The geometry of non-unit Pisot substitutions
• On the boundary of self-affine tilings generated by Pisot numbers
• Atomic surfaces, tilings and coincidences. II: Reducible case
• Topological properties of Rauzy fractals
• 𝛽-expansions with deleted digits for Pisot numbers 𝛽
• Strongly automatic semigroups
• Automata theory and its applications
• Pisot substitutions and Rauzy fractals

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