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Multiple Mixing with Respect to Noncoinciding Sets
S. V. Tikhonov Plekhanov Russian University of Economics, Stremyannyi per. 36, Moscow, 117997 Russia
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.
Keywords:
measure-preserving transformations, dynamical systems, multiple mixing, Ledrappier's example.
Received: April 1, 2019 Revised: August 10, 2019 Accepted: December 30, 2019
Citation:
S. V. Tikhonov, “Multiple Mixing with Respect to Noncoinciding Sets”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 243–252; Proc. Steklov Inst. Math., 308 (2020), 229–237
Linking options:
https://www.mathnet.ru/eng/tm4077https://doi.org/10.4213/tm4077 https://www.mathnet.ru/eng/tm/v308/p243
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