Pointwise dimensions of general Moran measures with open set condition

DOI10.1007/s11425-011-4187-8zbMath1219.28010OpenAlexW2108268622MaRDI QIDQ547404

Yong-Cai Geng, Sumit K. Garg

Publication date: 1 July 2011

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

Full work available at URL: https://doi.org/10.1007/s11425-011-4187-8

zbMATH Keywords

open set conditionMoran measurepointwise dimension

Mathematics Subject Classification ID

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

Related Items (16)

LOWER 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 ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ On the asymptotic uniformity of the quantization error for Moran measures on \(\mathbb{R}^1\) ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity ⋮ INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS ⋮ FAT AND THIN MORAN SETS FOR DOUBLING MEASURES ⋮ Some dimensional results for a class of special homogeneous Moran sets ⋮ Some Hausdorff dimensional results for homogeneous Moran sets in \({\mathbb {R}}^d\) ⋮ Certain singular distributions and fractals ⋮ On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures ⋮ QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION ⋮ A note on the distribution of the digits in Cantor expansions

Cites Work

• The multifractal spectrum of some Moran measures
• The pointwise dimensions of Moran measures
• 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
• The singularity spectrum \(f(\alpha)\) of some Moran fractals
• A multifractal formalism
• Dimension of measures: the probabilistic approach
• Billingsley’s packing dimension
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pointwise dimensions of general Moran measures with open set condition