A horospherical ratio ergodic theorem for actions of free groups (Q399409)
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scientific article; zbMATH DE number 6331642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A horospherical ratio ergodic theorem for actions of free groups |
scientific article; zbMATH DE number 6331642 |
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A horospherical ratio ergodic theorem for actions of free groups (English)
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19 August 2014
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Summary: We prove a ratio ergodic theorem for discrete non-singular measurable equivalence relations, provided they satisfy a strong form of the Besicovich covering property. In particular, this includes all hyperfinite measurable equivalence relation. We then use this result to study general non-singular actions of non-abelian free groups and establish a ratio ergodic theorem for averages along horospheres.
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ergodic theorem
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free groups
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