On the structure of self-affine convex bodies

DOI10.1070/SM2013v204n08ABEH004332zbMath1280.52004OpenAlexW2313939215MaRDI QIDQ2863126

A. S. Voynov

Publication date: 21 November 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n08abeh004332

zbMATH Keywords

partitionconvex polyhedronself-affine setstructure of self-affine bodies

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Matrix semigroups with constant spectral radius ⋮ Simple tiles and attractors

Cites Work

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• Self-affine convex polygons
• Self-affine convex discs are polygons
• A counterexample to Valette's conjecture
• Unsolved problems in geometry
• Subdivision schemes in \(L_ p\) spaces
• Extremal \(L_p\)-norms of linear operators and self-similar functions
• Self-affine polytopes. Applications to functional equations and matrix theory
• Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations

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