Ergodic properties where order 4 implies infinite order
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Publication:1802775
DOI10.1007/BF02808154zbMath0779.28009MaRDI QIDQ1802775
Publication date: 29 June 1993
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
simplicitymeasure-preserving transformationminimal self-joiningsjoiningsergodic systemsimple systemabsolutely continuous spectral typeRényi mixing
Related Items (13)
Multiple mixing and local rank of dynamical systems ⋮ On some generic classes of ergodic measure preserving transformations ⋮ A violation of multiple mixing close to an extremal ⋮ Even and odd primality of dynamical systems with invariant measure ⋮ Polymorphisms, joinings, and the tensor simplicity of dynamical systems ⋮ Self-joinings and generic extensions of ergodic systems ⋮ Substitutions, tiling dynamical systems and minimal self-joinings ⋮ Stochastic intertwinings and multiple mixing of dynamical systems ⋮ Around simple dynamical systems. Induced joinings and multiple mixing ⋮ Conjugations, joinings, and direct products of locally rank one dynamical systems ⋮ On simplicity concepts for ergodic actions ⋮ Simple systems and their higher order self-joinings ⋮ Measure-preserving rank one transformations
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- Joining-rank and the structure of finite rank mixing transformations
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- Mixing of all orders and pairwise independent joinings of systems with singular spectrum
- Erratum: ``Mixing of all orders of Lie groups actions
- Twofold mixing implies threefold mixing for rank one transformations
- An invariant for rigid rank-1 transformations
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
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