The local dimensions of some Moran measures with open set condition

DOI10.1016/j.nonrwa.2011.07.042zbMath1238.28007OpenAlexW2070623289MaRDI QIDQ420053

Jinjun Li

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.042

zbMATH Keywords

local dimensionopen set conditionMoran measure

Mathematics Subject Classification ID

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

Cites Work

• The multifractal spectrum of some Moran measures
• The Hausdorff dimension of measures for iterated function systems which contract on average
• An equivalent definition of packing dimension and its application
• An exact formula for the measure dimensions associated with a class of piecewise linear maps
• Multifractal decompositions of Moran fractals
• Dimensions of measures on perturbed Cantor sets
• The singularity spectrum \(f(\alpha)\) of some Moran fractals
• A multifractal formalism
• Dimension of measures: the probabilistic approach
• The local dimension of Moran measures satisfying the strong separation condition
• Billingsley’s packing dimension
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