粘土 发表于 2025-3-23 13:01:13

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彻底检查 发表于 2025-3-23 14:43:51

,Furstenberg’s Proof of Szemerédi’s Theorem,, 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 show how this may be used to simplify one step in Furstenberg’s proof.

Middle-Ear 发表于 2025-3-23 21:10:07

Actions of Locally Compact Groups,d: Haar measures, regular representations, amenability, mean ergodic theorems and the ergodic decomposition. The pointwise ergodic theorem is proved for a class of groups with polynomial growth, developing the approach to the maximal theorem via a covering lemma from Chapter 2.

不适当 发表于 2025-3-24 00:53:23

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极为愤怒 发表于 2025-3-24 03:16:27

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观察 发表于 2025-3-24 10:33:27

Effector-Mediated Pathogenicity,f ergodicity of the Gauss map is given. The relationship between continued fractions and Diophantine approximation is introduced, and some of the properties of badly approximable numbers are described. The continued fraction map will be revisited in Chapter 9 via the geodesic flow on a homogeneous space.

抒情短诗 发表于 2025-3-24 13:21:29

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forestry 发表于 2025-3-24 18:29:25

Provash Chandra Sadhukhan,Sanjay Premid: Haar measures, regular representations, amenability, mean ergodic theorems and the ergodic decomposition. The pointwise ergodic theorem is proved for a class of groups with polynomial growth, developing the approach to the maximal theorem via a covering lemma from Chapter 2.

锯齿状 发表于 2025-3-24 19:19:42

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弄脏 发表于 2025-3-25 01:10:26

A. Singh,R. C. Kuhad,V. Sahai,P. Ghoshtionship 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.
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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