The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space

DOI10.4153/CJM-1986-071-9zbMath0598.28013OpenAlexW2322916940MaRDI QIDQ3731960

Colleen D. Cutler

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1986-071-9

zbMATH Keywords

Hausdorff dimensionfinite measuredimension derivative familydimension distribution

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (13)

Convolutions and the Geometry of Multifractal Measures ⋮ A general decomposition theory for random cascades ⋮ Fractal properties of products and projections of measures in ℝ^d ⋮ Projections of planar Mandelbrot random measures ⋮ On the carrying dimension of occupation measures for self-affine random fields ⋮ A cascade decomposition theory with applications to Markov and exchangeable cascades ⋮ Strong and weak duality principles for fractal dimension in Euclidean space ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors ⋮ Connecting ergodicity and dimension in dynamical systems ⋮ Multifractal Tubes ⋮ Multifractal analysis of a measure of multifractal exact dimension ⋮ Estimation of dimension for spatially distributed data and related limit theorems ⋮ Transfinite multifractal dimension spectrums

This page was built for publication: The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space