供过于求 发表于 2025-3-25 03:44:32
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Baire Category Theorems of Ergodic Theory,In this chapter we will describe a topology on the class of non-singular automorphisms on a measure space and discuss the Baire category of some naturally occurring subclasses of it. We shall make a similar study of the class of measure preserving automorphisms.Gullible 发表于 2025-3-25 12:44:25
,B. Host’s Theorem,A question of V. A. Rokhlin, whether a mixing automorphism is mixing of all orders, has an affirmative answer if the the spectrum of the automorphism is singular to Lebesgue measure. We prove this result of B. Host in this chapter. The general case remains open.不知疲倦 发表于 2025-3-25 19:35:31
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Generalities on Systems of Imprimitivity,In this chapter we define systems of imprimitivity and give their concrete characterization.FOIL 发表于 2025-3-26 00:18:27
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Saturated Subgroups of the Circle Group,In this chapter we will discuss a technical property of being saturated in connection with subgroups of the circle group. In Chap. 11 we have seen that the group of eigenvalues of a non-singular automorphism is saturated.troponins 发表于 2025-3-26 10:02:04
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Mahendra NadkarniDiscusses major topics in the spectral theory of dynamical systems.Includes two advanced theorems: a theorem by Helson and Parry, and B. Host’s theorem.Features a new chapter on “Calculus of GeneralizNerve-Block 发表于 2025-3-26 19:19:34
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