Shrinking target for C¹ weakly conformal IFS with overlaps

2022/07/18 by Edouard Daviaud, Daviaud, Edouard
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2207.08458

openalex publication_date 2022/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the Hausdor dimension of weakly conformal IFS's shrinking targets with possible overlaps, provided the conformality dimension of the systems and the dimension of the attractor are equal. Those results extends the works of Hill-Velani as well as the results obtained in [6] for self-similar IFS's.

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