2015/09/29 by Peter Rasmussen, Rasmussen, Peter Michael Reichstein
Mathematics · #37B10 #Advanced Banach Space Theory #Dynamical Systems (math.DS) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1510.00326
openalex publication_date 2015/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study two problems related to flow equivalence of shift spaces. The first problem, the classification of S-gap shifts up to flow equivalence, is partially solved with the establishment of a new invariant for the sofic S-gap shifts and a complete classification of the non-sofic S-gap shifts. The second problem is an examination of the entropy of shift spaces under flow equivalence. For a wide array of classes of shift spaces with non-zero entropy, it is shown that the entropies achievable while maintaining flow equivalence are dense in \mathbb R+.