Titlebook: Dynamical Systems of Algebraic Origin; Klaus Schmidt Book 1995 Birkhäuser Verlag 1995 Group Theory.Lie groups

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Nature Writing und die Verwilderungions of sets {.: . ∈ .} ⊂ ., ., and . otherwise. If . is .-mixing in the sense of (20.9), then every set . ⊂ Z. of cardinality . is mixing, but the reverse implication is far from clear. If . ⊂ ℤ. is a non-empty set then we can translate . and assume that . ∈ . without affecting its mixing behaviour

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Zero entropy,of non-trivial (e.g. mixing) actions with zero entropy. Theorem 19.5 characterizes the principal prime ideals . ⊂ ℜ. which are null, and from Corollary 18.5 we know that every non-principal prime ideal . ⊂ ℜ.is null. Theorem 6.5 (2) and Proposition 19.4 yield an abundance of mixing ℤ.-actions with z

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