Un théorème ergodique presque sous-additif. (An almost subadditive ergodic theorem) (Q1071888)
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scientific article; zbMATH DE number 3939638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Un théorème ergodique presque sous-additif. (An almost subadditive ergodic theorem) |
scientific article; zbMATH DE number 3939638 |
Statements
Un théorème ergodique presque sous-additif. (An almost subadditive ergodic theorem) (English)
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1983
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The author establishes \((L^ 1\) and ''almost everywhere'') convergence results for ''almost subadditive processes''. These are suitable perturbations of the subadditive processes introduced by Kingman. These theorems extend Kingman's results and give as a corollary the Shannon- McMillan-Breiman information theorem.
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extension of Kingman's subadditive ergodic theorem
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almost subadditive sequence
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entropy
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measure-preserving transformations
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subadditive processes
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Shannon-McMillan-Breiman information theorem
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