GUEER 发表于 2025-3-25 06:42:54
978-3-0348-9957-4Birkhäuser Verlag 1995丰富 发表于 2025-3-25 08:23:24
Progress in Mathematicshttp://image.papertrans.cn/e/image/283889.jpg护航舰 发表于 2025-3-25 15:26:47
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Positive entropy,We begin this section with a brief discussion of entropy for a single automorphism . of a compact group ., in which we prove that every ergodic automorphism of an infinite, compact group has positive entropy, and that automorphisms with zero entropy have a very degenerate structure.fatty-streak 发表于 2025-3-26 06:58:05
Entropie,al matrix group over the complex numbers. Any metric . on a compact group X is assumed to be invariant, i.e. . for all ., and to induce the topology of .. The identity element of a group . will usually be written as ., ., or . ., depending on whether . is multiplicative or additive, and whether ther杀人 发表于 2025-3-26 11:40:39
Zweck und Ziele der Wirtschaftsinformatik,.10), Propositions 4.9-4.10, Remark 4.15, and Theorem 4.11. Just as compact, abelian groups like . = ℝ./ℤ. have automorphisms with very intricate dynamical properties, there is an abundance of examples of interesting ℤ.-actions by automorphisms of compact abelian groups. In this section we introduce容易生皱纹 发表于 2025-3-26 13:38:13
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,So klingt unsere Stimme für andere,(Definition 5.5), and Example 5.6 (1) shows that the d.c.c. cannot be dropped in general. In this section we investigate the density of the set of periodic points for a ℤ.-action . by automorphisms of compact group . satisfying the d.c.c. We begin with two examples which show that—if . is non-abelia