Hausdorff dimension of Cantor attractors in one-dimensional dynamics

被引：0
|
作者：
Simin Li
Weixiao Shen
机构：
[1] University of Science and Technology of China,Mathematics Department
来源：
Inventiones mathematicae | 2008年 / 171卷
关键词：
Periodic Point; Hausdorff Dimension; Return Time; Universal Constant; Admissible Pair;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the Hausdorff dimension of Cantor attractors of smooth interval maps with non-flat critical points. We prove that the Hausdorff dimension is bounded from above by a constant less than 1 which depends only on the number and order of the critical points.
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页码：345 / 387
页数：42
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