Ergodicity of \Z² Extension of Irrational Rotation on the Circle

2010/05/15 by Yuqing Zhang, Zhang, Yuqing
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1005.2657

openalex publication_date 2010/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider skew product extension of irrational rotations on the circle by \Z² determined by an integer valued function as well as a fixed point on the circle. We study ergodic components of such extension.

Citations

• Ergodicity of cylinder flows arising from irregularities of distribution

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