Nested Cantor sets

被引：1
|
作者：
Berger, Pierre [1 ]
Moreira, Carlos Gustavo [2 ]
机构：
[1] Univ Paris 13, LAGA, F-93430 Villetaneuse, France
[2] Inst Matematica Pura & Aplicada, Rio De Janeiro, Brazil
来源：
MATHEMATISCHE ZEITSCHRIFT | 2016年 / 283卷 / 1-2期
关键词：
MAPS;
D O I：
10.1007/s00209-015-1605-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for two Cantor sets of the line to be nested for a positive set of translation parameters. This problem occurs in diophantine approximations. It also occurs as a toy model of the parameter selection for non-uniformly hyperbolic attractors of the plane. For natural Cantors sets, we show that this condition is optimal.
引用
收藏
页码：419 / 435
页数：17
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