Mathematics

Lower estimate of the regulator of the direct product of almost periodic and periodic sequences

M. A. Raskin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A lower bound is proved for the almost periodicity regulator of an almost periodic sequence coupled with a periodic sequence. This lower bound differs from the known upper bound only in a multiplier in the number of iterations of the regulator of almost periodicity of the original sequence.

Key words: combinatorics on words, almost periodicity regulator, sequence coupling.

UDC: 519.716.35

Received: 27.09.2010

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