Bilipschitz embedding of self-similar sets

DOI10.1007/s11854-011-0012-0zbMath1241.28004OpenAlexW2022847408MaRDI QIDQ415761

Li-Feng Xi, Zhi-Ying Wen, Juan Deng, Ying Xiong

Publication date: 9 May 2012

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-011-0012-0

zbMATH Keywords

bilipschitz embeddingbilipschitz equivalent

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (17)

Affine embeddings of Cantor sets on the line ⋮ Affine embeddings of Cantor sets and dimension of \(\alpha\beta\)-sets ⋮ LIPSCHITZ EQUIVALENCE OF SELF-SIMILAR SETS AND FINITE-STATE AUTOMATON ⋮ Lipschitz equivalence of self-similar sets with two-state neighbor automaton ⋮ Affine embeddings of Cantor sets in the plane ⋮ SELF-SIMILAR SUBSETS OF SYMMETRIC CANTOR SETS ⋮ Lipschitz equivalence of fractals generated by nested cubes ⋮ AHLFORS–DAVID REGULAR SUBSETS OF FRACTALS ⋮ Affine embeddings and intersections of Cantor sets ⋮ Bilipschitz embedding of homogeneous fractals ⋮ Lipschitz equivalence of fractal triangles ⋮ C^1-embeddings between graph-directed sets ⋮ Differentiable points of Sierpinski-like sponges ⋮ ASYMPTOTIC FORMULA ON AVERAGE PATH LENGTH OF A SPECIAL NETWORK BASED ON SIERPINSKI CARPET ⋮ SCALE-FREE AND SMALL-WORLD PROPERTIES OF A SPECIAL HIERARCHICAL NETWORK ⋮ Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets ⋮ Embeddings of trees, Cantor sets and solvable Baumslag-Solitar groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitz equivalence of dust-like self-similar sets
• Lipschitz equivalence of self-similar sets
• Self-similar sets with initial cubic patterns
• On the shape of Cantor sets
• Projecting the one-dimensional Sierpiński gasket
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Relations among Whitney sets, self-similar arcs and quasi-arcs
• Lipschitz equivalence of generalized \(\{1,3,5\}-\{1,4,5\}\) self-similar sets
• Quasi-Lipschitz equivalence of fractals
• Lipschitz equivalence of graph-directed fractals
• Ahlfors-David regular sets and bilipschitz maps
• Hausdorff Dimension in Graph Directed Constructions
• Lipschitz equivalence of subsets of self-conformal sets
• On the Lipschitz equivalence of Cantor sets
• Separation Properties for Self-Similar Sets
• LIPSCHITZ EQUIVALENCE OF SELF-CONFORMAL SETS
• Dimensions and Measures of Quasi Self-Similar Sets
• Classification of a quasi-circles by Hausdorff dimension
• Lipschitz equivalence of self-similar sets with touching structures

This page was built for publication: Bilipschitz embedding of self-similar sets