Renormalization Horseshoe and Rigidity for Circle Diffeomorphisms with Breaks

被引：25

作者：

Khanin, Konstantin ^{[1
]}

Teplinsky, Alexey ^{[2
]}

机构：

[1] Univ Toronto, Toronto, ON M5S 2E4, Canada

[2] Inst Math NASU, UA-01601 Kiev, Ukraine

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 320卷 / 02期

关键词：

SINGULARITIES; MAPS;

D O I：

10.1007/s00220-013-1706-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we build the renormalization horseshoe for the circle homeomorphisms, which are C (2+alpha) -smooth everywhere except for one point, and at that point have a jump in first derivative. We also show that two such homeomorphisms are C (1)-smoothly conjugate for a certain class of rotation numbers, which include non-Diophantine numbers with arbitrarily high rate of growth.

引用

页码：347 / 377

页数：31

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