Measures and self similarity

DOI10.1016/0001-8708(92)90014-CzbMath0758.28010MaRDI QIDQ1188442

Donald W. Spear

Publication date: 13 August 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionHausdorff measurebox dimensionpacking dimensionself-similar setspacking measuregraph directed constructions

Mathematics Subject Classification ID

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

Related Items (8)

Average distances between points in graph‐directed self‐similar fractals ⋮ Multifractal decompositions of Moran fractals ⋮ Sub-Self-Similar Sets ⋮ Abstract similarity, fractals and chaos ⋮ Hausdorff and packing measure functions of self-similar sets: continuity and measurability ⋮ An equivalent definition of packing dimension and its application ⋮ Dimensions of subsets of Moran fractals related to frequencies of their codings ⋮ BOUNDS FOR DIMENSION OF THE ATTRACTOR OF A SCALED IFS

Cites Work

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• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Non-negative matrices and Markov chains. 2nd ed
• Packing Measure, and its Evaluation for a Brownian Path
• The Hausdorff dimension of general Sierpiński carpets
• Scaling Hausdorff measures
• Hausdorff Dimension in Graph Directed Constructions
• Packing regularity of sets in n-space
• Two definitions of fractional dimension

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