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math.DSNov 1, 2015
authors
  • Xiu Chen
  • Kan Jiang
  • Wenxia Li
institutions
  • Centrum Wiskunde & Informatica
  • East China Normal University
  • Utrecht University
arXiv abstractPDF
paper

Lipschitz equivalence of a class of self-similar sets

arXiv:1511.01240

Abstract

We consider a class of homogeneous self-similar sets with complete overlaps and give a sufficient condition for the Lipschitz equivalence between members in this class.

A remark was added. To appear in Ann. Acad. Sci. Fenn. Math

References in corpus (3)

  • Ahlfors-David regular sets and bilipschitz maps
  • Lipschitz Equivalence Class, Ideal Class and the Gauss Class Number Problem
  • Subshift of finite type and self-similar sets
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