satisficer 发表于 2025-3-21 19:31:12

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发起 发表于 2025-3-21 20:28:56

Ergodicity, Recurrence and Mixing,tionship between various mixing properties is described. The mean and pointwise ergodic theorems are proved. An approach to the maximal ergodic theorem via a covering lemma is given, which will be extended in Chapter 8 to more general group actions.

合群 发表于 2025-3-22 02:49:25

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腐烂 发表于 2025-3-22 07:09:26

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狂热语言 发表于 2025-3-22 09:30:54

,Furstenberg’s Proof of Szemerédi’s Theorem,pters 5 and 6 to give a careful proof of Furstenberg’s multiple recurrence theorem. To help motivate the proof we consider several special cases first, including the case of weak-mixing and discrete spectrum systems, and Roth’s theorem. A simple proof of van der Waerden’s theorem is given, and we sh

Synthesize 发表于 2025-3-22 16:17:06

Actions of Locally Compact Groups,p automorphisms are introduced, and their mixing properties described. Some of the basic machinery of the ergodic theory of groups actions is developed: Haar measures, regular representations, amenability, mean ergodic theorems and the ergodic decomposition. The pointwise ergodic theorem is proved f

Synthesize 发表于 2025-3-22 17:35:18

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根除 发表于 2025-3-22 22:51:31

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Feedback 发表于 2025-3-23 01:21:43

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Outmoded 发表于 2025-3-23 08:51:45

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查看完整版本: Titlebook: Ergodic Theory; with a view towards Manfred Einsiedler,Thomas Ward Textbook 2011 Springer-Verlag London Limited 2011 Ergodic theory.Homoge