Symmetric and congruent Rauzy fractals

Über den Artikel

Co-Autoren Klaus Scheicher
Víctor F. Sirvent
Sprache Englisch
erschienen in Indagationes Mathematicae 27, Nr. 3 (2016)
Seiten 799 bis 820
DOI 10.1016/j.indag.2016.01.011
Unterstützt durch FWF, Projekt P23990
Titel auf Deutsch Symmetrische und kongruente Rauzyfraktale

Zusammenfassung

Zwei Rauzyfraktale sind kongruent, wenn sie durch eine affine Abbildung ineinander überführt werden können. Wir geben hinreichende Bedingungen für primitive unimodulare Pisotsubstitutionen an, unter welchen die dazugehörigen Rauzyfraktale kongruent sind. Wir beschreiben damit eine große Klasse von Substitutionen, die punktsymmetrische Rauzyfraktale liefern, anhand der erzeugten Sprache.

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