On the Pisot Substitution Conjecture

Abstract : This survey is concerned with the different existing formulations of the so-called Pisot conjecture : the authors start by stating the one-dimensional conjecture in various formalisms and then discuss the extension of this conjecture in higher dimensions.
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S Akiyama, M Barge, V Berthé, J.-Y Lee, A Siegel. On the Pisot Substitution Conjecture. Mathematics of Aperiodic Order, 309, Springer, pp.33-72, 2015, Progress in mathematics, 978-3-0348-0903-0. ⟨10.1007/978-3-0348-0903-0_2⟩. ⟨hal-01196318⟩

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