Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900315 | Journal of Mathematical Analysis and Applications | 2018 | 14 Pages |
Abstract
The study of Lipschitz equivalence of fractals is a very active topic in recent years, but there are very few results on fractals which is not totally disconnected. In this paper, using finite state automata and the angle separation property, we prove that for a class of self-similar sets with two-state neighbor automaton, two elements are Lipschitz equivalent if and only if they have the same Hausdorff dimension.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yunjie Zhu, Yamin Yang,