Hausdorff Dimension of Invariant Measures of Multicritical Circle Maps

被引：4

作者：

Trujillo, Frank ^{[1
]}

机构：

[1] IMJ PRG, UP7D, 58-56 Ave France, F-75205 Paris 13, France

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 09期

关键词：

RIGIDITY; BOUNDS;

D O I：

10.1007/s00023-020-00940-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give explicit bounds for the Hausdorff dimension of the unique invariant measure of C-3 multicritical circle maps without periodic points. These bounds depend only on the arithmetic properties of the rotation number, the number of critical points and their criticalities.

引用

页码：2861 / 2875

页数：15

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