Characteristic factors for commuting actions of amenable groups (Q327602)
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scientific article; zbMATH DE number 6640879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic factors for commuting actions of amenable groups |
scientific article; zbMATH DE number 6640879 |
Statements
Characteristic factors for commuting actions of amenable groups (English)
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19 October 2016
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The author describes the characteristic factors associated to certain averages arising from commuting actions of locally compact, second-countable, amenable groups and, under some ergodicity assumptions, he uses these factors to prove Bergelson's conjecture, i.e., a form of multiple recurrence for three such actions.
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characteristic factors
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actions
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averages
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amenable groups
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ergodicity
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recurrence
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0.9009707
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0.8966949
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0.8948467
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0.89420223
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0.89328104
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0.88393325
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0.88263667
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