TANGENT MEASURES OF NON-HOMOGENEOUS CANTOR SETS SATISFYING THE STRONG SEPARATION CONDITION
Author:
WANG YONGTAO1ORCID,
XUE YUMEI1ORCID
Affiliation:
1. School of Mathematical Sciences, Beihang University, Beijing 102206, P. R. China
Abstract
This paper investigates tangent measures in the sense of Preiss for non-homogeneous Cantor sets on [Formula: see text] generated by specific iterated function systems that satisfy the strong separation condition. Through the dynamics of “zooming in” on any typical point, we derive an explicit and uniform formula for the tangent measures associated with this category of non-homogeneous Cantor sets on [Formula: see text].
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd