Weakly controlled Moran constructions and iterated functions systems in metric spaces

zbMath1281.28005arXiv1003.0349MaRDI QIDQ351821

Tapio Rajala, Markku Vilppolainen

Publication date: 10 July 2013

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

Full work available at URL: https://arxiv.org/abs/1003.0349

zbMATH Keywords

Hausdorff dimensioniterated function systemHausdorff measureself-similar setMoran construction

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (8)

Constant length substitutions, iterated function systems and amorphic complexity ⋮ A note on correlation and local dimensions ⋮ Self‐conformal sets with positive Hausdorff measure ⋮ Irreducible fractal structures for Moran type theorems ⋮ Conformal Graph Directed Markov Systems on Carnot Groups ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity ⋮ Recurrence to Shrinking Targets on Typical Self-Affine Fractals ⋮ ASSOUAD DIMENSIONS OF MORAN SETS WITH ZERO INFIMUM CONTRACTION

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