Mixing properties and entropy bounds of a family of Pisot random substitutions
Escolano GB, Mañibo CN, Miro ED (2022)
Indagationes Mathematicae 33(5): 965-991.
Zeitschriftenaufsatz
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Autor*in
Escolano, Giovanni B.;
Mañibo, Chrizaldy NeilUniBi;
Miro, Eden Delight
Einrichtung
Abstract / Bemerkung
We consider a two-parameter family of random substitutions and show certain combinatorial and topological properties they satisfy. We establish that they admit recognisable words at every level. As a consequence, we get that the subshifts they define are not topologically mixing. We then show that they satisfy a weaker mixing property using a numeration system arising from a sequence of lengths of inflated words. Moreover, we provide explicit bounds for the corresponding topological entropy in terms of the defining parameters n and p.(c) 2022 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
Stichworte
Random substitution subshifts;
Recognisable words;
Pisot numbers;
Topological entropy;
Topological mixing
Erscheinungsjahr
2022
Zeitschriftentitel
Indagationes Mathematicae
Band
33
Ausgabe
5
Seite(n)
965-991
ISSN
0019-3577
eISSN
1872-6100
Page URI
https://pub.uni-bielefeld.de/record/2965785
Zitieren
Escolano GB, Mañibo CN, Miro ED. Mixing properties and entropy bounds of a family of Pisot random substitutions. Indagationes Mathematicae . 2022;33(5):965-991.
Escolano, G. B., Mañibo, C. N., & Miro, E. D. (2022). Mixing properties and entropy bounds of a family of Pisot random substitutions. Indagationes Mathematicae , 33(5), 965-991. https://doi.org/10.1016/j.indag.2022.04.004
Escolano, Giovanni B., Mañibo, Chrizaldy Neil, and Miro, Eden Delight. 2022. “Mixing properties and entropy bounds of a family of Pisot random substitutions”. Indagationes Mathematicae 33 (5): 965-991.
Escolano, G. B., Mañibo, C. N., and Miro, E. D. (2022). Mixing properties and entropy bounds of a family of Pisot random substitutions. Indagationes Mathematicae 33, 965-991.
Escolano, G.B., Mañibo, C.N., & Miro, E.D., 2022. Mixing properties and entropy bounds of a family of Pisot random substitutions. Indagationes Mathematicae , 33(5), p 965-991.
G.B. Escolano, C.N. Mañibo, and E.D. Miro, “Mixing properties and entropy bounds of a family of Pisot random substitutions”, Indagationes Mathematicae , vol. 33, 2022, pp. 965-991.
Escolano, G.B., Mañibo, C.N., Miro, E.D.: Mixing properties and entropy bounds of a family of Pisot random substitutions. Indagationes Mathematicae . 33, 965-991 (2022).
Escolano, Giovanni B., Mañibo, Chrizaldy Neil, and Miro, Eden Delight. “Mixing properties and entropy bounds of a family of Pisot random substitutions”. Indagationes Mathematicae 33.5 (2022): 965-991.
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