Self-similar sets in doubling spaces

zbMath1163.28001MaRDI QIDQ938812

Zoltán M. Balogh, Heiner Rohner

Publication date: 27 August 2008

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionfractalsiterated function systemsdoubling metric spacesself similar sets

Mathematics Subject Classification ID

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

Related Items (7)

Removable sets for homogeneous linear partial differential equations in Carnot groups ⋮ Weakly controlled Moran constructions and iterated functions systems in metric spaces ⋮ Singular integrals on Ahlfors-David regular subsets of the Heisenberg group ⋮ Conformal Graph Directed Markov Systems on Carnot Groups ⋮ Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups ⋮ Separation properties of \((n,m)\)-IFS attractors ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity

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