The pointwise dimensions of Moran measures

DOI10.1007/s11425-010-0127-2zbMath1200.28011OpenAlexW2053191199MaRDI QIDQ989765

J. Martínez

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0127-2

zbMATH Keywords

Hausdorff dimensionMoran setpacking dimensionself-similar setsMoran measurepointwise dimension

Mathematics Subject Classification ID

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

Related Items (10)

LOWER DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS ⋮ ASSOUAD DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS ⋮ LOWER TYPE DIMENSIONS OF SOME MORAN SETS ⋮ QUASISYMMETRIC PACKING-MINIMALITY OF MORAN SETS ⋮ A note on correlation and local dimensions ⋮ Quasi-Lipschitz mapping, correlation and local dimensions ⋮ Some dimensional results of a class of homogeneous Moran sets ⋮ Pointwise dimensions of general Moran measures with open set condition ⋮ ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS ⋮ QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION

Cites Work

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• The multifractal spectrum of some Moran measures
• Packing dimensions of homogeneous perfect sets
• An exact formula for the measure dimensions associated with a class of piecewise linear maps
• Multifractal decompositions of Moran fractals
• Some dimensional results for homogeneous Moran sets
• On the structures and dimensions of Moran sets

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