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- W2052524553 abstract "We show that Turyn's conjecture, arising from the Theory of Error Correcting Codes, has an equivalent formulation in Dynamical Systems Theory. In particular, Turyn's conjecture is true if all binary Morse flows have singular spectra. Our proof uses intermediate estimates for merit factors of products of words, and is purely combinatorial. Nous montrons que la conjecture de Turyn, issue de la Théorie des Codes Correcteurs d'Erreur, a une formulation équivalente en Théorie des Systèmes Dynamiques. En particulier, la première est vraie si tous les flots de Morse continus binaires ont un spectre singulier. La preuve utilise des estimations intermédiaires du facteur de mérite d'un produit de mots, et repose sur des méthodes purement combinatoires." @default.
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- W2052524553 date "1998-12-01" @default.
- W2052524553 modified "2023-09-26" @default.
- W2052524553 title "Merit factors and Morse sequences" @default.
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- W2052524553 doi "https://doi.org/10.1016/s0304-3975(98)00121-2" @default.
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