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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/139043

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題名:	Verification of mixing properties in two-dimensional shifts of finite type
作者:	班榮超 Ban, Jung-Chao Hu, Wen-Guei Lin, Song-Sun Lin, Yin-Heng
貢獻者:	應數系
日期:	2021-06
上傳時間:	2022-02-10 14:58:48 (UTC+8)
摘要:	This work introduces constructive and systematic methods for verifying the topological mixing and strong specification (or strong irreducibility) of two-dimensional shifts of finite type. First, we define transition matrices on infinite strips of width n for all n ≥ 2. To determine the primitivity of the transition matrices, we introduce the connecting operators that reduce the high-order transition matrices to lower-order transition matrices. Then, two sufficient conditions for primitivity are provided; they are invariant diagonal cycles and primitive commutative cycles of connecting operators. Then, the primitivity, corner-extendability, and crisscross-extendability are used to demonstrate the topological mixing. Finally, we show that the hole-filling condition yields the strong specification property. The application of all the above-mentioned conditions can be verified in a finite number of steps.
關聯:	Journal of Mathematical Physics, Vol.62, No.7, pp.072703
資料類型:	article
DOI 連結:	http://dx.doi.org/10.1063/5.0007365
DOI:	10.1063/5.0007365
顯示於類別:	[應用數學系] 期刊論文

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