Piecewise-smooth circle homeomorphisms with several break points

被引：0
|
作者：
Dzhalilov, A. A. [1 ]
Mayer, D. [2 ]
Safarov, U. A. [1 ]
机构：
[1] Samarkand State Univ, Dept Mech & Math, Samarkand, Uzbekistan
[2] Tech Univ Clausthal, Inst Theoret Phys, Clausthal Zellerfeld, Germany
来源：
IZVESTIYA MATHEMATICS | 2012年 / 76卷 / 01期
关键词：
circle homeomorphism; rotation number; invariant measure; DIFFEOMORPHISMS;
D O I：
10.1070/IM2012v076n01ABEH002576
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the invariant probability measure of an ergodic piecewise-smooth circle homeomorphism with several break points and the product of the jumps at break points non-trivial is singular with respect to Lebesgue measure.
引用
收藏
页码：94 / 112
页数：19
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