Topological conjugacy and its relations for symbolic matrices
Dynamical Systems
2023-05-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2003.10653,
title = {Topological conjugacy and its relations for symbolic matrices},
author = {Naghmeh Akhavan and Dawoud Ahmadi Dastjerdi},
journal= {arXiv preprint arXiv:2003.10653},
year = {2023}
}
Comments
Needs major edits