On synchronized coded systems
Dynamical Systems
2025-09-18 v2
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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Cite
@article{arxiv.2509.04122,
title = {On synchronized coded systems},
author = {Wolfgang Krieger},
journal= {arXiv preprint arXiv:2509.04122},
year = {2025}
}
Comments
14 pages