Can I read Tangents of Invariant Sets on EtoBox?

Tangents of Invariant Sets by Käenmäki, Antti; Rutar, Alex is a scholarly article available to read on EtoBox.

What is Tangents of Invariant Sets about?

We study the fine scaling properties of sets satisfying various weak forms of invariance. For general attractors of possibly overlapping bi-Lipschitz iterated function systems, we establish that the Assouad dimension is given by the Hausdorff dimension of a tangent at some point in the attractor. Under the additional assumption of self-conformality, we moreover prove that this property holds for a subset of full Hausdorff dimension.

Author

Käenmäki, Antti; Rutar, Alex

Published

2023

Language

EN