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- W2020565995 abstract "We define a generic algorithmic framework to prove pure discrete spectrum for the substitutive symbolic dynamical systems associated with some infinite families of Pisot substitutions. We focus on the families obtained as finite products of the three-letter substitutions associated with the multidimensional continued fraction algorithms of Brun and Jacobi-Perron. Our tools consist in a reformulation of some combinatorial criteria (coincidence conditions), in terms of properties of discrete plane generation using multidimensional (dual) substitutions. We also deduce some topological and dynamical properties of the Rauzy fractals, of the underlying symbolic dynamical systems, as well as some number-theoretical properties of the associated Pisot numbers." @default.
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- W2020565995 date "2015-03-19" @default.
- W2020565995 modified "2023-10-18" @default.
- W2020565995 title "A combinatorial approach to products of Pisot substitutions" @default.
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- W2020565995 doi "https://doi.org/10.1017/etds.2014.141" @default.
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