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arxiv: 1611.09166 · v2 · pith:75SH7DEWnew · submitted 2016-11-09 · 🧮 math.DS

Homoclinic invariants of ergodic actions

classification 🧮 math.DS
keywords invariantsactionsgroupshomoclinicclassconnectionsconsiderergodic
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We consider a family of homoclinic groups and Gordin's type invariants of measure-preserving actions, state their connections with factors, full groups, ranks, rigidity, multiple mixing and realize such invariants in the class of Gaussian and Poisson suspensions.

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