LIPSCHITZ EQUIVALENCE OF A CLASS OF SELF-SIMILAR SETS WITH COMPLETE OVERLAPS

作者：Guo Qiuli; Li Hao; Wang Qin; Xi Lifeng^*

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2012, 37(1): 229-243.

DOI：10.5186/aasfm.2012.3712

• Fractals
• self-similar set
• Lipschitz equivalence
• complete overlaps

Fix r is an element of (0, 1/3]. We discuss a class of self-similar sets {K-n}(n >= 1) with complete overlaps, where K-n = (rK(n)) boolean OR (rK(n) + r(n) (1 - r)) boolean OR (rK(n) + 1 - r). We prove that for any n(1), n(2) >= 1, K-n1 and K-n2 are Lipschitz equivalent.

• 出版日期2012
• 单位浙江万里学院