On the $L^q$-dimensions of measures on Hueter-Lalley type self-affine sets

DOI10.1090/PROC/13672zbMath1379.28008arXiv1607.00894OpenAlexW2963555589MaRDI QIDQ4590974

Tom Kempton, Jonathan M. Fraser

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00894

zbMATH Keywords

dynamical systemHausdorff dimensionself-affine measureself-affine set\(L^q\)-dimension

Mathematics Subject Classification ID

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

Related Items (1)

The dimensions of inhomogeneous self-affine sets

Cites Work

• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• A class of self-affine sets and self-affine measures
• The singularity spectrum for general Sierpiński carpets
• Multifractal formalism for almost all self-affine measures
• On the 𝐿^{𝑞}-spectrum of planar self-affine measures
• The dimension of projections of self-affine sets and measures
• Generalized dimensions of measures on almost self-affine sets
• The Hausdorff dimension of self-affine fractals
• How projections affect the dimension spectrum of fractal measures
• Generalized dimensions of measures on self-affine sets
• Falconer's formula for the Hausdorff dimension of a self-affine set in R²
• A dimension result arising from the $L^q$-spectrum of a measure
• On self-affine measures with equal Hausdorff and Lyapunov dimensions
• Planar self-affine sets with equal Hausdorff, box and affinity dimensions
• On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems
• On natural invariant measures on generalised iterated function systems
• On the Ledrappier–Young formula for self-affine measures
• Multifractal analysis on the flexed Sierpiński gasket

This page was built for publication: On the $L^q$-dimensions of measures on Hueter-Lalley type self-affine sets