TANGENT MEASURES ON HOMOGENEOUS CANTOR SETS ON â„ SATISFYING THE CONVEX OPEN SET 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), 2025, vol. 33, issue 01, 1-18

Abstract: This paper investigates tangent measures in the sense of Preiss for homogeneous Cantor sets on ℠satisfying the convex open set condition, a similar problem has been discussed in our previous work but with 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 homogeneous Cantor sets on ℠.

Keywords: Homogeneous Cantor Sets; Tangent Measures; The Convex Open Set Condition; Limit Models (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500185

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