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您的检索式：作者名="Hillel FURSTENBERG"
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| 1 | Affinely Prime Dynamical Systems(Dedicated to Professor Haim Brezis on the occasion of his 70th birthday)显示文摘This paper deals with representations of groups by 'affine' automorphisms of compact, convex spaces, with special focus on 'irreducible' representations: equivalently'minimal' actions. When the group in question is P SL(2, R), the authors exhibit a oneone correspondence between bounded harmonic functions on the upper half-plane and a certain class of irreducible representations. This analysis shows that, surprisingly, all these representations are equivalent. In fact, it is found that all irreducible affine representations of this group are equivalent. The key to this is a property called 'linear Stone-Weierstrass'for group actions on compact spaces. If it holds for the 'universal strongly proximal space'of the group(to be defined), then the induced action on the space of probability measures on this space is the unique irreducible affine representation of the group. | Hillel FURSTENBERG Eli GLASNER Benjamin WEISS | 2017 | Chinese Annals of Mathematics,Series B2017，38，2： | 0 |
| 2 | 遍历性结构和非通常遍历性定理显示文摘Szemeredi的一个著名定理断言,任何一个具有正的上密度的整数集都包含任意长的算术序列.该结论等价于如下关于保测变换的多重常返定理: | Hillel Furstenberg 骆顺龙(译) 董昭(校) | 2011 | 数学译林2011，30，1： | 0 |
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