Dimension spectra of self-affine sets

DOI10.1007/BF02784523zbMath1011.28004MaRDI QIDQ1611531

Satoshi Takahashi

Publication date: 29 May 2003

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

zbMATH Keywords

Hausdorff dimensionmultifractalsbox-counting dimensionself-affine carpetssofic measures

Mathematics Subject Classification ID

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

Related Items (4)

Dimensions of the coordinate functions of space-filling curves ⋮ Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\) ⋮ A generalized multifractal spectrum of the general Sierpinski carpets ⋮ SYMBOLIC AND GEOMETRIC LOCAL DIMENSIONS OF SELF-AFFINE MULTIFRACTAL SIERPINSKI SPONGES IN ℝ^d

Cites Work

• Cellular automata and multifractals: Dimension spectra of linear cellular automata
• A variational formula for dimension spectra of linear cellular automata
• Hausdorff dimensions of sofic affine-invariant sets
• The Hausdorff dimension of general Sierpiński carpets
• Finitary measures for subshifts of finite type and sofic systems
• Multifractal Decompositions of Digraph Recursive Fractals
• On the multifractal analysis of measures
• Unnamed Item

This page was built for publication: Dimension spectra of self-affine sets