Tangents and pointwise Assouad dimension of invariant sets

• Main Authors: Käenmäki, Antti, Rutar, Alex
• Format: Journal Article
• Language: English
• Published: 21.09.2023
• Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Dynamical Systems; Mathematics - Metric Geometry

We study the fine scaling properties of sets satisfying various weak forms of invariance. Our focus is on the interrelated concepts of (weak) tangents, Assouad dimension, and a new localized variant which we call the pointwise Assouad dimension. For general attractors of possibly overlapping bi-Lips...