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A Krieger Embedding Theorem for Near Markov Sofic Shifts
[Submitted on 24 Jun 2026] · 2026-06-25 · via math updates on arXiv.org

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Abstract:Krieger's classical embedding theorem gives necessary and sufficient conditions for embedding a subshift into a mixing shift of finite type (SFT) as a proper subshift. The same result does not hold if one replaces mixing SFT by a mixing sofic shift. In this paper, we generalize Krieger's conditions to give necessary and sufficient conditions for embedding a subshift into a mixing (in fact irreducible) near Markov sofic shift (a special conjugacy-invariant class of sofic shifts). We also show that if the subshift to be embedded is irreducible sofic, then the conditions are finitely decidable.

Submission history

From: Chengyu Wu [view email]
[v1] Wed, 24 Jun 2026 07:00:10 UTC (46 KB)

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