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Bilipschitz homogeneous Jordan curves, Möbius maps, and dimension

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Publication:648765
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zbMath1251.30009MaRDI QIDQ648765

David M. Freeman

Publication date: 28 November 2011

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1318598680


zbMATH Keywords

dimensionbi-Lipschitz homogeneity\(B\)-bounded turningfractal chordarc curve


Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Metric geometry (51F99)


Related Items (4)

Möbius bilipschitz homogeneous arcs on the plane ⋮ Inversion invariant bilipschitz homogeneity ⋮ Lipschitz functions on quasiconformal trees ⋮ Bilipschitz homogeneous Jordan curves, Möbius maps, and dimension



Cites Work

  • Unnamed Item
  • Bilipschitz homogeneity and inner diameter distance
  • Bilipschitz homogeneous Jordan curves, Möbius maps, and dimension
  • Quasicircles modulo bilipschitz maps
  • Higher dimensional Ahlfors regular sets and chordarc curves in \(R^n\)
  • Bilipschitz group actions and homogeneous Jordan curves
  • Trajectories of one-parameters groups of quasi-isometries
  • Bi-Lipschitz homogeneous curves in ℝ² are quasicircles
  • Bilipschitz homogeneous Jordan curves


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