AHLFORS-DAVID REGULAR SUBSETS OF FRACTALS

作者：Pan, Yue; Xiong, Ying^*

来源：Fractals, 2020, 28(5): 2050084.

DOI：10.1142/S0218348X2050084X

• Ahlfors-David Regular Subsets
• Ahlfors-David Regular Dimension
• McMullen Sets
• Moran Sets

This paper focus on the compact Ahlfors-David regular subsets of fractals. For this, we introduce the Ahlfors-David regular dimension and study its basic properties. Based on these properties and some known results in dimension theory of fractals, we compute Ahlfors-David Regular dimension for Moran sets and McMullen sets.

• 单位
  y