A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions (Q6193922)
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scientific article; zbMATH DE number 7804694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions |
scientific article; zbMATH DE number 7804694 |
Statements
A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions (English)
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14 February 2024
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In the setting of probability measure-preserving actions of \(\mathbb{R}^d\) or \(\mathbb{Z}^d\) the associated spectral measures are used to find criteria for power-law estimates to hold for ergodic averaging of square-integrable functions over large parallelepipeds.
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convergence rates in ergodic theorems
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symmetric polynomial
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