J. Korean Math. Soc. 2022; 59(1): 1-12
Published online January 1, 2022 https://doi.org/10.4134/JKMS.j200112
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Dezful Branch, Islamic Azad University
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 . 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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