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On the asymmetry of multiple asymptotic properties of ergodic actions. (English. Russian original) Zbl 1370.37008
Math. Notes 96, No. 3, 416-422 (2014); translation from Mat. Zametki 96, No. 3, 432-439 (2014).
Summary: In this paper, a mixing \(\mathbb Z^2\)-action, not isomorphic to its inverse, is presented; \(\mathbb Z\)-actions with asymmetry of partial multiple mixing properties on sequences and partial multiple rigidity are considered; new examples of transformations of a space with infinite measure, not isomorphic to its inverse, are given.

MSC:
37A25 Ergodicity, mixing, rates of mixing
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\)
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