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• W2895417821 abstract "We give a sufficient geometric condition for a subshift to be measurably isomorphic to a domain exchange and to a translation on a torus. This gives another characterization of the Pisot substitution conjecture. For an irreducible unit Pisot substitution, we introduce a new topology on the discrete line and give a simple necessary and sufficient condition for the symbolic system to have pure discrete spectrum. This condition gives rise to an algorithm based on computation of automata. To see the power of this criterion, we provide families of substitutions that are shown, using different methods, to satisfy the Pisot substitution conjecture: We also provide an example of S-adic system with pure discrete spectrum." @default.
• W2895417821 created "2018-10-12" @default.
• W2895417821 creator A5037898763 @default.
• W2895417821 creator A5067137356 @default.
• W2895417821 date "2020-01-01" @default.
• W2895417821 modified "2023-09-26" @default.
• W2895417821 title "Yet Another Characterization of the Pisot Substitution Conjecture" @default.
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• W2895417821 doi "https://doi.org/10.1007/978-3-030-57666-0_8" @default.
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