Assouad dimensions of Moran sets and Cantor-like sets

2014/04/17 by wen-wen Li, Li, wen-wen, wen-xia Li +5 · 2 citations
Mathematics · #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1404.4409

Abstract

We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set, we also study the Assouad dimensions of Cantor-like sets.

Cited by

• The generalized upper box dimension
• Dimensions and dimension spectra of Non-autonomous iterated function systems

Related

• Assouad type dimensions of homogeneous Moran sets and Cantor-like sets
• Assouad and quasi-Assouad dimensions of Moran sets
• Intermediate Assouad-like dimensions
• Assouad-like dimensions of random Moran measures
• Attainable Assouad-like dimensions of randomly generated Moran sets and measures