{1,3,5}-{1,4,5}问题与邻居自动机

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

自相似集的Lipschitz等价问题是几何测度论和分形几何的中心问题之一.Rao-Ruan-Xi^([10])通过构造图递归集证明了{1,3,5}-{1,4,5}问题.该文利用邻居自动机给出了另一个证明.

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.