Synchronized components of a subshift
J. Korean Math. Soc. 2022 Vol. 59, No. 1, 1-12
https://doi.org/10.4134/JKMS.j200112
Published online November 25, 2021
Printed January 1, 2022
Manouchehr Shahamat
Dezful Branch, Islamic Azad University
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 \cite{Thomsen1}. 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
Downloads: Full-text PDF   Full-text HTML

   

Copyright © Korean Mathematical Society.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd