A renormalization approach to irrational rotations (Q731393)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A renormalization approach to irrational rotations |
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A renormalization approach to irrational rotations (English)
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2 October 2009
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The authors introduce a renormalization procedure for irrational rotation. This procedure allows a unified and concise study of different properties of the irrational rotation. In particular, they obtain sharp results for the diffusion of the walk on \(\mathbb{Z}\) generated by the location of points of the sequence \(n\alpha +\beta\) on a binary partition of the unit interval. At the end of the paper, they give some applications of their method.
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irrational rotations
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continued fractions
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renormalization
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diffusion
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