On Lebesgue measure of integral self-affine sets

DOI10.1007/S00454-010-9306-8zbMath1231.05067arXiv1003.6046OpenAlexW2134050931MaRDI QIDQ635751

Ievgen V. Bondarenko, Rostyslav V. Kravchenko

Publication date: 23 August 2011

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.6046

zbMATH Keywords

self-affine settilegraph-directed systemself-similar action

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (3)

On strong affine representations of the polycyclic monoids ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS

Cites Work

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• Self-affine sets and graph-directed systems
• Self-affine tiles in \(\mathbb{R}^n\)
• Integral self-affine sets with positive Lebesgue measures
• Canonical number systems, counting automata and fractals
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets
• NATURAL TILING, LATTICE TILING AND LEBESGUE MEASURE OF INTEGRAL SELF-AFFINE TILES

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