Bilipschitz embedding of homogeneous fractals

Preprint English OPEN
Lü, Fan; Lou, Man-Li; Wen, Zhi-Ying; Xi, Li-Feng;
(2014)
  • Subject: 28A80 | Mathematics - Metric Geometry
    arxiv: Mathematics::Metric Geometry

In this paper, we introduce a class of fractals named homogeneous sets based on some measure versions of homogeneity, uniform perfectness and doubling. This fractal class includes all Ahlfors-David regular sets, but most of them are irregular in the sense that they may ... View more
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