On uniform recurrence of a direct productReportar como inadecuado

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1 Sobolev Institute of Mathematics

Abstract : The direct product of two words is a naturally defined word on the alphabet of pairs of symbols. An infinite word is uniformly recurrent if each its subword occurs in it with bounded gaps. An infinite word is strongly recurrent if the direct product of it with each uniformly recurrent word is also uniformly recurrent. We prove that fixed points of the expanding binary symmetric morphisms are strongly recurrent. In particular, such is the Thue-Morse word.

Keywords : infinite words uniform recurrence strong recurrence symmetric morphisms Thue-Morse word

Autor: Pavel Vadimovich Salimov -

Fuente: https://hal.archives-ouvertes.fr/


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