Strong shift equivalence as a category notion
Rings and Algebras
2021-07-23 v1 Discrete Mathematics
Category Theory
Abstract
In this paper, we present a completely radical way to investigate the main problem of symbolic dynamics, the conjugacy problem, by proving that this problem actually relates to a natural question in category theory regarding the theory of traced bialgebras. As a consequence of this theory, we obtain a systematic way of obtaining new invariants for the conjugacy problem by looking at existing bialgebras in the literature.
Cite
@article{arxiv.2107.10734,
title = {Strong shift equivalence as a category notion},
author = {Emmanuel Jeandel},
journal= {arXiv preprint arXiv:2107.10734},
year = {2021}
}