On the Billingsley dimension of Birkhoff average in the countable symbolic space (Q784364)
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scientific article; zbMATH DE number 7226783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
scientific article; zbMATH DE number 7226783 |
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On the Billingsley dimension of Birkhoff average in the countable symbolic space (English)
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3 August 2020
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The Birkhoff ergodic theorem provides no structural information about the exceptional set of measure zero therein. The authors partially fill in this gap, by providing a size estimate of the levels sets, that involves the Billingsley dimension defined by Gibbs measures and their convergence exponent.
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Billingsley dimension
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Gibbs measures
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level set
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