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arXiv · 2509.04122

On synchronized coded systems

Wolfgang Krieger
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Abstract

We introduce a class of codes with overlapping code words, that we call SPO-codes. The SPO-codes are related to the Markov codes that were introduced in: G. Keller, J. Combinatorial Theory 56, (1991),pp.\ 75--83. The process of generating a coded system from a code extends to SPO-codes. We describe a family of intrinsically ergodic synchronized SPO-coded systems that is closed under topological conjugacy. We construct synchronized subshifts with salient structural features by means of SPO-codes. We construct SPO-coded systems that are not semisynchronized.

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Wolfgang Krieger. 2025-09-04. On synchronized coded systems. https://arxiv.org/abs/2509.04122

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