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Preprints, Working Papers, ... Year : 2021

Strong shift equivalence as a category notion

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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Dates and versions

hal-03286679 , version 1 (15-07-2021)

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