TANGENT MEASURES OF NON-HOMOGENEOUS CANTOR SETS SATISFYING THE STRONG SEPARATION CONDITION

被引：0
|
作者：
Wang, Yongtao [1 ]
Xue, Yumei [1 ]
机构：
[1] Beihang Univ, Sch Math Sci, Beijing 102206, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年
基金：
中国国家自然科学基金;
关键词：
Non-Homogeneous Cantor Sets; Tangent Measures; Limit Models; MEASURE DISTRIBUTIONS; FRACTALS; GEOMETRY;
D O I：
10.1142/S0218348X24501111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates tangent measures in the sense of Preiss for non-homogeneous Cantor sets on R(d )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 R-d.
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收藏
页数：18
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