arXiv:2003.10653 Abstract | arXiv Analytics

arXiv:2003.10653 [math.DS]Abstract References Reviews Resources

Topological conjugacy and its relations for symbolic matrices

Naghmeh Akhavan, Dawoud Ahmadi Dastjerdi

Published 2020-03-24Version 1

In 1988 Boyle and Krieger defined sub-matrices for representation matrices of sofic shift. This paper presents some details of relations between integral sub-matrices and representation matrices. Besides, we express a new version of the Decomposition Theorem by sub-matrices. Generally, strong shift equivalence (conjugacy) of sub-matrices does not apply to representation matrices, but we show that this result can be achieved by the fixed diagonal integral sub-matrix.

Comments: 18 pages, 4 figures

Categories: math.DS

Subjects: 37B50

Keywords: symbolic matrices, topological conjugacy, representation matrices, fixed diagonal integral sub-matrix, strong shift equivalence

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