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arXiv 1005.2657math.NTmath.DS
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圆上无理旋转的$\Z^2$扩张的遍历性

Ergodicity of $\Z^2$ Extension of Irrational Rotation on the Circle

Yuqing Zhang

摘要:

考虑了由整值函数和圆上的不动点确定的$\Z^2$对圆上无理旋转的斜积扩张.我们研究遍历组件这样的扩展。

英文摘要:

We consider skew product extension of irrational rotations on the circle by $\Z^2$ determined by an integer valued function as well as a fixed point on the circle. We study ergodic components of such extension.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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