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Rigidity of Actions with Extreme Deviation from Multiple Mixing

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Abstract

We introduce a class of systems, including Ledrappier’s example, which do not have multiple mixing. A classification of such systems for 2D lattice actions is constructed.

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Authors and Affiliations

  1. Plekhanov Russian University of Economics, Moscow, Russia

    S. V. Tikhonov

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  1. S. V. Tikhonov
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Correspondence to S. V. Tikhonov.

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Original Russian Text © S. V. Tikhonov, 2018, published in Matematicheskie Zametki, 2018, Vol. 103, No. 6, pp. 912–926.

From now on, we write g i → ∞ if each bounded subset of G contains at most finitely many elements of the sequence {g i } ⊂ G.

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Tikhonov, S.V. Rigidity of Actions with Extreme Deviation from Multiple Mixing. Math Notes 103, 977–989 (2018). https://doi.org/10.1134/S0001434618050346

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  • DOI: https://doi.org/10.1134/S0001434618050346

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