On the deviation of ergodic averages for horocycle flows (Q371061)

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scientific article; zbMATH DE number 6212665
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On the deviation of ergodic averages for horocycle flows
scientific article; zbMATH DE number 6212665

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    On the deviation of ergodic averages for horocycle flows (English)
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    27 September 2013
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    Two theorems and one corollary are presented about the deviation of ergodic averages for horocycle flows. The effective bounds of the deviation depend on small eigenvalues of a related Laplacian. It is also shown that in a certain sense, these results are sharp.
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    horocycle flow
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    ergodic averages
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    small eigenvalues
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