Embedding subshifts of finite type into the Fibonacci-Dyck shift

TL;DR

This paper establishes a precise criterion for embedding irreducible subshifts of finite type into the Fibonacci-Dyck shift, advancing understanding of symbolic dynamics and shift space embeddings.

Contribution

It provides a necessary and sufficient condition for such embeddings, filling a gap in the theory of subshift embeddings into complex shift spaces.

Findings

Established a criterion for embedding subshifts into Fibonacci-Dyck shift

Characterized irreducible subshifts of finite type in this context

Enhanced understanding of symbolic dynamics and shift space embeddings

Abstract

A necessary and sufficient condition is given for the existence of an embedding of an irreducible subshift of finite type into the Fibonacci-Dyck shift