On periodic \(\beta\)-expansions of Pisot numbers and Rauzy fractals

zbMath0991.11040MaRDI QIDQ5939261

Yuki Sano, Shunji Ito

Publication date: 26 August 2002

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Pisot numbersgreedy expansionRauzy fractals

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Distribution modulo one (11J71)

Related Items (10)

Purely periodic 𝛽-expansions with Pisot unit base ⋮ Dynamical directions in numeration ⋮ Atomic surfaces, tilings and coincidences. II: Reducible case ⋮ The topological structure of fractal tilings generated by quadratic number systems ⋮ Beta-expansions of rational numbers in quadratic Pisot bases ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Atomic surfaces, tilings and coincidence. I: Irreducible case ⋮ On substitution invariant Sturmian words: an application of Rauzy fractals ⋮ Geometric study of the beta-integers for a Perron number and mathematical quasicrystals ⋮ Periodic codings of algebraic graph-directed IFS

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