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Journal Article
Encoding subshifts through sliding block codes
2024
Overview
We prove a generalization of Krieger’s embedding theorem, in the spirit of zero-error information theory. Specifically, given a mixing shift of finite type X, a mixing sofic shift Y, and a surjective sliding block code
$\\pi : X \\to Y$
, we give necessary and sufficient conditions for a subshift Z of topological entropy strictly lower than that of Y to admit an embedding
$\\psi : Z \\to X$
such that
$\\pi \\circ \\psi $
is injective.
Publisher
Cambridge University Press
Subject
