Lipschitz equivalence of subsets of self-conformal sets

DOI10.1088/0951-7715/23/4/006zbMath1193.28005arXiv0909.1928OpenAlexW3098138099MaRDI QIDQ3559672

Pertti Mattila, Marta Llorente

Publication date: 6 May 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1928

zbMATH Keywords

singular functionsCantor functionsconformal densities and Hausdorff dimensionfunctions with other special propertiesLipschitz (Hölder) classes

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Related Items (12)

LIPSCHITZ EQUIVALENCE OF CANTOR SETS AND IRREDUCIBILITY OF POLYNOMIALS ⋮ Bilipschitz embedding of self-similar sets ⋮ Iterated function system quasiarcs ⋮ Lipschitz equivalence of fractals generated by nested cubes ⋮ Self‐similar sets, simple augmented trees and their Lipschitz equivalence ⋮ Bilipschitz embedding of homogeneous fractals ⋮ On hyperbolic graphs induced by iterated function systems ⋮ LIPSCHITZ EQUIVALENCE OF MCMULLEN SETS ⋮ C^1-embeddings between graph-directed sets ⋮ Differentiable points of Sierpinski-like sponges ⋮ Higher dimensional Frobenius problem and Lipschitz equivalence of Cantor sets ⋮ Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets

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