Hölder cocycles and ergodic integrals for translation flows on flat surfaces (Q600823)
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scientific article; zbMATH DE number 5809288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder cocycles and ergodic integrals for translation flows on flat surfaces |
scientific article; zbMATH DE number 5809288 |
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Hölder cocycles and ergodic integrals for translation flows on flat surfaces (English)
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2 November 2010
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The main objects under study are asymptotic properties of translation flows on flat surfaces of higher genus. It is shown that ergodic integrals of Lipschitz functions are approximated by Hölder cocycles over the corresponding ``vertical'' flow. The approximation error goes down slowly than any power of time. A symbolic representation of translation flows as suspension flows over Vershik's automorphisms allows one to construct cocycles explicitly.
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translation flows
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limit theorems
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Vershik's automorphisms
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Abelian differentials
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Hölder cocycles
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Forni's invariant distributions
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Teichmüller flow
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