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

页码：419 / 435

页数：17

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