Display title | Maximal ergodic theorem |
Default sort key | Maximal ergodic theorem |
Page length (in bytes) | 1,283 |
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Page ID | 203071 |
Page content language | en - English |
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Page creator | imported>John Stpola |
Date of page creation | 07:38, 24 October 2022 |
Latest editor | imported>John Stpola |
Date of latest edit | 07:38, 24 October 2022 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics.
Suppose that $ (X,{\mathcal {B}},\mu ) $ is a probability space, that $ T:X\to X $ is a (possibly noninvertible) measure-preserving transformation, and that $ f\in L^{1}(\mu ,\mathbb {R} ) $. Define $ f^{*} |