Hausdorff dimension of wiggly metric spaces

DOI10.1007/s11512-014-0197-4zbMath1319.30050arXiv1303.7305OpenAlexW2085914213MaRDI QIDQ2018119

Jonas Azzam

Publication date: 10 April 2015

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.7305

zbMATH Keywords

compact metric spacegeodesic deviationFrostman measureantenna-like sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Analysis on metric spaces (30L99)

Related Items

Uniformly branching trees ⋮ Box-counting by Hölder's traveling salesman ⋮ The weak lower density condition and uniform rectifiability ⋮ Quasi-self-similar fractals containing ``Y have dimension larger than one ⋮ Quasiconformal and geodesic trees

Cites Work

• Rectifiable sets and the traveling salesman problem
• Morceaux de graphes lipschitziens et intégrales singulières sur une surface
• Subsets of rectifiable curves in Hilbert space-the analyst's TSP
• Spaces and groups with conformal dimension greater than one
• Wiggly sets and limit sets
• Hausdorff dimension of uniformly non-flat sets with topology
• Lectures on analysis on metric spaces
• Conformal dimension of the antenna set
• Systems of dyadic cubes in a doubling metric space
• Menger curvature and Lipschitz parametrizations in metric spaces
• Characterization of Subsets of Rectifiable Curves in R ⁿ
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item