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

Yongtao Wang () and Yumei Xue
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Yongtao Wang: School of Mathematical Sciences, Beihang University, Beijing 102206, P. R. China
Yumei Xue: School of Mathematical Sciences, Beihang University, Beijing 102206, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 06, 1-18

Abstract: This paper investigates tangent measures in the sense of Preiss for non-homogeneous Cantor sets on ℠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 ℠d.

Keywords: Non-Homogeneous Cantor Sets; Tangent Measures; Limit Models (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24501111

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