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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2022; 59(1): 1-12

Online first article January 1, 2022      Printed January 1, 2022

https://doi.org/10.4134/JKMS.j200112

Copyright © The Korean Mathematical Society.

Synchronized components of a subshift

Manouchehr Shahamat

Dezful Branch, Islamic Azad University

Abstract

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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

MSC numbers: 37B10, 54H20, 37B40

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