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Finiteness properties for Pisot $S$-adic tilings
Acte de colloque   Open Access

Finiteness properties for Pisot $S$-adic tilings

Pierre Arnoux, Valerie Berthe et Anne Siegel
Journées Montoises d'Informatique Théorique (RENNES, France, 08/2006)
2006

Résumé

In this paper, we will first formulate and prove some equivalent sufficient conditions to obtain the tiling property for a Pisot unimodular substitution. We will then apply these condition to the more general framework of adic systems, to extend to this more general (and non algebraic) case results already known for the substitutive case.

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