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arXiv · 1005.2657

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

Yuqing Zhang
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Abstract

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.

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Yuqing Zhang. 2010-07-31. Ergodicity of $\Z^2$ Extension of Irrational Rotation on the Circle. https://arxiv.org/abs/1005.2657

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