Geodesic
On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions
Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 432-439

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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.
Keywords: mixing $\mathbb Z^2$-action, asymmetry of multiple mixing, partial multiple rigidity, Haar measure, compact commutative group.
Mots-clés : ergodic invertible transformation 
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     author = {V. V. Ryzhikov},
     title = {On the {Asymmetry} of {Multiple} {Asymptotic} {Properties} of {Ergodic} {Actions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {432--439},
     publisher = {mathdoc},
     volume = {96},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a11/}
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V. V. Ryzhikov. On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions. Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 432-439. http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a11/