The $S$-adic Pisot conjecture on two letters

J\"org Thuswaldner; Milton Minervino; Val\'erie Berth\'e; Wolfgang Steiner

arxiv: 1501.07085 · v1 · pith:MKUNUQBSnew · submitted 2015-01-28 · 🧮 math.DS

The S-adic Pisot conjecture on two letters

Val\'erie Berth\'e , Milton Minervino , Wolfgang Steiner , J\"org Thuswaldner This is my paper

classification 🧮 math.DS

keywords adicconjectureletterspisotcoincidencesextensionfactfractals

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We prove an extension of the well-known Pisot substitution conjecture to the $S$-adic symbolic setting on two letters. The proof relies on the use of Rauzy fractals and on the fact that strong coincidences hold in this framework.

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The S-adic Pisot conjecture on two letters

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