2024/03/22 by Elizabeth Sattler, Sattler, Elizabeth
Mathematics · #28A80 (Primary) #37B10 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2403.15608
openalex publication_date 2024/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider subsets of an attractor of an iterated function system in which each point is associated with an allowable word from an S-gap shift. The main result shows that bounds for the box dimension and Hausdorff dimension of a subfractal induced by an S-gap shift are given by the zeros of the upper and lower topological pressure functions.