Covering number on inhomogeneous graph-directed self-similar sets
Abstract
For a strongly connected inhomogeneous graph-directed self-similar set K^{C} satisfying the strong open set condition, we characterize the asymptotic behaviour of the r -covering number N_{r}(K^{C}) as r \downarrow 0 in terms of the Minkowski dimension s_{0}(G) of the attractor. If \int_{0}^{\infty} e^{-s_0(G)t}N_{e^{-t}}(C_{i}){\text{d}}t
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Limits and Structures in Graph Theory
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Fractal Geometry Mathematics of Fractals and Related Topics
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Volume
- 13
- Issue
- 3
- Pages
- 241–262
- Publication date
- 11 June 2026
- Language
- EN