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词汇 Maximal ergodic theorem
分类 英语词汇 英语翻译词典
释义

Maximal ergodic theorem

英语百科

Maximal ergodic theorem

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). Define f^* by

Then the maximal ergodic theorem states that

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