Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line

DOI10.1017/prm.2020.89zbMath1489.28002arXiv2006.02412OpenAlexW3034074849MaRDI QIDQ3383679

No author found.

Publication date: 16 December 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02412

zbMATH Keywords

transversality conditionAssouad dimensionself-similar setself-conformal settranslation familyweak separation property

Mathematics Subject Classification ID

Fractals (28A80) Dynamical systems involving maps of the interval (37E05) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Assouad dimension influences the box and packing dimensions of orthogonal projections
• On the equality of Hausdorff measure and Hausdorff content
• Multifractal measures and a weak separation condition
• Self-similar sets of zero Hausdorff measure and positive packing measure
• Lectures on analysis on metric spaces
• Assouad dimension and local structure of self-similar sets with overlaps in \(\mathbb{R}^d\)
• On the Assouad dimension of self-similar sets with overlaps
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
• Weak separation condition, Assouad dimension, and Furstenberg homogeneity
• Weak separation properties for self-similar sets
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
• Separation Properties for Self-Similar Sets
• On the Assouad dimension of projections
• Self‐conformal sets with positive Hausdorff measure
• Assouad Dimension and Fractal Geometry
• ON THE DIMENSION OF SELF-SIMILAR SETS

This page was built for publication: Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line