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Strong shift equivalence as a category notion

Emmanuel Jeandel 1 
1 MOCQUA - Designing the Future of Computational Models
Inria Nancy - Grand Est, LORIA - FM - Department of Formal Methods
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.
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Preprints, Working Papers, ...
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Submitted on : Thursday, July 15, 2021 - 9:25:46 AM
Last modification on : Friday, February 4, 2022 - 3:33:03 AM
Long-term archiving on: : Saturday, October 16, 2021 - 6:11:40 PM


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  • HAL Id : hal-03286679, version 1
  • ARXIV : 2107.10734


Emmanuel Jeandel. Strong shift equivalence as a category notion. 2021. ⟨hal-03286679⟩



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