TITLE:
Distributional Chaoticity of the Minimal Subshift of Shift Operators
AUTHORS:
Yuanlin Chen, Tianxiu Lu, Jiazheng Zhao
KEYWORDS:
Shift Operators, Subshift, Distributional Chaoticity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.5,
May
17,
2024
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.