Markov averaging and ergodic theorems for several operators (Q2735110)
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scientific article; zbMATH DE number 1640113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov averaging and ergodic theorems for several operators |
scientific article; zbMATH DE number 1640113 |
Statements
30 August 2001
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group action
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a.s. ergodic theorems
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products of finitely many Markov operators
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locally free groups
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Markov averaging and ergodic theorems for several operators (English)
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The author derives a.s. ergodic theorems for sums of the form \({1\over N} \sum^n_{n+ 1}s_n\) where \(s_n\) is a certain convex combination involving products of finitely many Markov operators, generalizing earlier results by the author [Usp. Mat. Nauk 54, No. 4, 159-160 (1999); transl. Russ. Math. Surv. 54, No. 4, 835-836 (1999; Zbl 0981.28015)]. This result is then applied to Markov and locally free groups.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00011].
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