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

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

2010-05-15

arxiv.org/abs/1005.2657v4

Mathematics

Number Theory

Scientific paper

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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