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Distributional Chaoticity of the Minimal Subshift of Shift Operators

DOI: 10.4236/jamp.2024.125102, PP. 1647-1660

Keywords: Shift Operators, Subshift, Distributional Chaoticity

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Abstract:

This paper focus on the chaotic properties of minimal subshift of shift operators. It is proved that the minimal subshift of shift operators is uniformly distributional chaotic, distributional chaotic in a sequence, distributional chaotic of type k ( k{ 1,2,2 1 2 ,3 } ), and ( 0,1 ) -distribution.

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