Uniform distribution of horocycle orbits for Fuchsian groups (Q798775)
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scientific article; zbMATH DE number 3871653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform distribution of horocycle orbits for Fuchsian groups |
scientific article; zbMATH DE number 3871653 |
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Uniform distribution of horocycle orbits for Fuchsian groups (English)
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1984
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Let \(G=SL_ 2({\mathbb{R}})\) and \(\Gamma \subset G\) be a lattice such that G/\(\Gamma\) is not compact. Let \(U\subset G\) be a unipotent one-parameter subgroup. In the paper it is proved that any nonperiodic orbit of U on G/\(\Gamma\) is uniformly distributed. The discrete version of this theorem is also proved.
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lattice
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unipotent one-parameter subgroup
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nonperiodic orbit
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