Continuity of packing measure functions of self-similar iterated function systems

DOI10.1017/S0143385711000071zbMath1255.37011arXiv1207.4843OpenAlexW2964144093MaRDI QIDQ2908173

Hua Qiu

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4843

zbMATH Keywords

self-similarityiterated function systemspacking measure

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hausdorff and packing measures (28A78)

Related Items (3)

Packing measure of super separated iterated function systems ⋮ On the packing measure of the Sierpinski gasket ⋮ Exact Hausdorff and packing measures of Cantor sets with overlaps

Cites Work

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• Some Relations Between Packing Premeasure and Packing Measure
• Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle
• Exact packing measure of linear Cantor sets
• Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results

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