Shrinking target for $C^1$ weakly conformal IFS with overlaps

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.

arXiv commentarXiv admin note: text overlap with arXiv:2204.01302