Renormalizations and rigidity theory for circle homeomorphisms with singularities of the break type

被引：37
|
作者：
Khanin, K
Khmelev, D
机构：
[1] Univ Cambridge, Isaac Newton Inst Math Sci, Cambridge CB3 0EH, England
[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[3] LD Landau Theoret Phys Inst, Moscow 117940, Russia
[4] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2003年 / 235卷 / 01期
关键词：
D O I：
10.1007/s00220-003-0809-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Circle homomorphisms with singularities of the break type are considered in the case when rotation numbers have periodic continued fraction expansion. We establish hyperbolicity for renormalizations and then use it in order to prove the following rigidity result. Namely, we show that any two homeomorphisms with a single break point are smoothly conjugate to each other provided they have the same quadratic irrational rotation number and the same "size" of a break.
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页码：69 / 124
页数：56
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