2025/12/12 by Ana Anušić, Anušić, Ana, Christopher Mouron +1
Computer Science · Mathematics · #26A21 #37B40 #37B45 #37E05 #54C60 #Advanced Combinatorial Mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2512.12064
openalex publication_date 2025/12/12 · openalex created_date 2025/12/17 · openalex updated_date 2026/07/28
Maps f,g\colon X→ X are called kin if they are forward iterates of the same map φ\colon X→ X, up to a composition with a commuting homeomorphism. Kin form an important class of commuting maps on X. In this paper, we characterize kin, and give an Euclidean-type algorithm which tests when two maps f,g\colon X→ X are kin. Furthermore, we compute the topological entropy of diagonal maps induced by commuting diagonal kin diagrams.