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Minimally Generated Subshifts

Publish Year: 1399
Type: Journal paper
Language: English
View: 118

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JR_MAT-1-1_004

Index date: 27 January 2024

Minimally Generated Subshifts abstract

We introduce the notion of a minimal generator G for the coded system X; that is a generator for coded systemX whenever u 2 G, then u 62 W(< G n fug >). Such an X is called minimally generated system. We aim tointroduce a class of minimally generated systems generated by some certain synchronizing blocks. If an irreduciblesystem has at least one synchronizing block, then it is called a synchronized system. A version of a theorem of K.Thomsen (2006) in minimally generated systems has been given. The derived set has been characterized as well.

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