Self‐conformal sets with positive Hausdorff measure

DOI10.1112/blms.12320zbMath1441.28003arXiv1803.09113OpenAlexW3100173723MaRDI QIDQ5110614

Jasmina Angelevska, Antti Käenmäki, Sascha Troscheit

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09113

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (9)

CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS ⋮ SEPARATION PROPERTIES FOR BI-LIPSCHITZ ITERATED FUNCTION SYSTEMS ⋮ On quasisymmetric embeddings of the Brownian map and continuum trees ⋮ On the Minkowski content of self-similar random homogeneous iterated function systems ⋮ Assouad dimension and local structure of self-similar sets with overlaps in \(\mathbb{R}^d\) ⋮ Quantitative recurrence properties for self-conformal sets ⋮ When winning sets have full dimension ⋮ The quasi-Assouad dimension of stochastically self-similar sets ⋮ Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line

Cites Work

• Unnamed Item
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• Unnamed Item
• Projections of self-similar sets with no separation condition
• Weakly controlled Moran constructions and iterated functions systems in metric spaces
• On self-similar sets with overlaps and inverse theorems for entropy
• On the equality of Hausdorff measure and Hausdorff content
• Separation conditions for conformal iterated function systems
• 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
• Conformal iterated function systems with overlaps
• Separation conditions on controlled Moran constructions
• Weak separation properties for self-similar sets
• Uniformly Perfect Sets and Quasiregular Mappings
• Dimensions and Measures of Quasi Self-Similar Sets
• Dimensions and Measures in Infinite Iterated Function Systems
• Dimensions, Whitney covers, and tubular neighborhoods

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