Limit theorems for skew translations

Jory Griffin; Jens Marklof

doi:10.3934/jmd.2014.8.177

Article Contents

2014, Volume 8, Issue 2: 177-189. Doi: 10.3934/jmd.2014.8.177

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Limit theorems for skew translations

Jory Griffin^1, and
Jens Marklof^1,

1.
School of Mathematics, University of Bristol, Bristol BS8 1TW

Received: August 31, 2013

Published: October 2014

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Abstract

Bufetov, Bufetov-Forni and Bufetov-Solomyak have recently proved limit theorems for translation flows, horocycle flows and tiling flows, respectively. We present here analogous results for skew translations of a torus.

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Mathematics Subject Classification: Primary: 37A50; Secondary: 11F27, 60F05, 37D40, 28D05.

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References

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