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Multiple Mixing with Respect to Noncoinciding Sets

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Abstract

We introduce a class of systems without multiple mixing. The sets with respect to which the mixing is considered are not assumed to coincide. This class contains Ledrappier’s example as a particular case. We prove that there are no multidimensional flows among such systems.

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References

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Authors and Affiliations

  1. Plekhanov Russian University of Economics, Stremyannyi per. 36, Moscow, 117997, 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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Russian Text © The Author(s), 2020, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Vol. 308, pp. 243–252.

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Tikhonov, S.V. Multiple Mixing with Respect to Noncoinciding Sets. Proc. Steklov Inst. Math. 308, 229–237 (2020). https://doi.org/10.1134/S0081543820010186

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  • DOI: https://doi.org/10.1134/S0081543820010186

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