Multiple Mixing with Respect to Noncoinciding Sets
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 243-252

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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.
Keywords: measure-preserving transformations, dynamical systems, multiple mixing, Ledrappier's example.
@article{TM_2020_308_a17,
     author = {S. V. Tikhonov},
     title = {Multiple {Mixing} with {Respect} to {Noncoinciding} {Sets}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {243--252},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a17/}
}
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S. V. Tikhonov. Multiple Mixing with Respect to Noncoinciding Sets. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 243-252. http://geodesic.mathdoc.fr/item/TM_2020_308_a17/