Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (3): 902-912.

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Problem of {1, 3, 5}-{1, 4, 5} and Neighbor Automaton

Yunjie Zhu()   

  1. School of Mathematics and Physics, Hubei Polytechnic University, Hubei Huangshi 435003
  • Received:2020-05-21 Online:2021-06-26 Published:2021-06-09

Abstract:

Lipschitz equivalence of self-similar sets is a kernel problem on geometric measure theory and fractal geometric. Rao-Ruan-Xi[10] proved the problem of {1, 3, 5}-{1, 4, 5} by graph-directed sets. This paper gives another proof via the method of neighbor automaton.

Key words: Self-similar sets, Lipschitz equivalence, Neighbor automaton

CLC Number: 

  • O174.12
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