Shift equivalence implies flow equivalence for shifts of finite type

TL;DR

This paper proves that for shifts of finite type, shift equivalence of their defining matrices guarantees flow equivalence of the shifts, establishing a significant connection between these two concepts.

Contribution

It demonstrates that shift equivalence implies flow equivalence for shifts of finite type, clarifying the relationship between these classifications.

Findings

Shift equivalence implies flow equivalence for shifts of finite type

Establishes a direct link between matrix-based and dynamical classifications

Enhances understanding of the structure of shifts of finite type

Abstract

Shifts of finite type defined from shift equivalent matrices must be flow equivalent.