Hausdorff and packing dimensions and sections of measures

DOI10.1112/S0025579300014042zbMath0905.28002OpenAlexW2084439493MaRDI QIDQ4209030

Maarit Järvenpää, Pertti Mattila

Publication date: 3 November 1998

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300014042

zbMATH Keywords

Hausdorff dimensionpacking dimensionsections of measuressliced measure

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items

Slices of Hewitt-Stromberg measures and co-dimensions formula, Projections and slices of measures, Local dimensions of sliced measures and stability of packing dimensions of sections of sets, A self-similar measure with dense rotations, singular projections and discrete slices, Exact dimension of Furstenberg measures, On self-similar measures with absolutely continuous projections and dimension conservation in each direction, On self-affine measures with equal Hausdorff and Lyapunov dimensions, Multifractal geometry of slices of measures, Sixty Years of Fractal Projections

Cites Work

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• Integralgeometric Properties of Capacities
• Hausdorff dimension, orthogonal projections and intersections with planes
• Sets with Large Intersection Properties
• Fractal properties of products and projections of measures in ℝ^d
• Packing dimensions of projections and dimension profiles
• The packing dimension of projections and sections of measures
• Projection theorems for box and packing dimensions
• Strong and weak duality principles for fractal dimension in Euclidean space
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions