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http://dx.doi.org/10.4134/JKMS.j200112

SYNCHRONIZED COMPONENTS OF A SUBSHIFT  

Shahamat, Manouchehr (Department of Pure Mathematics Dezful Branch, Islamic Azad University)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.1, 2022 , pp. 1-12 More about this Journal
Abstract
We introduce the notion of a minimal synchronizing word; that is a synchronizing word whose proper subwords are not synchronized. This has been used to give a new shorter proof for a theorem in [6]. Also, the common synchronized components of a subshift and its derived set have been characterized.
Keywords
Minimal synchronizing; synchronized component; synchronized entropy;
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