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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 243–252
DOI: https://doi.org/10.4213/tm4077 (Mi tm4077) 		 
Multiple Mixing with Respect to Noncoinciding Sets

S. V. Tikhonov

Plekhanov Russian University of Economics, Stremyannyi per. 36, Moscow, 117997 Russia
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DOI: https://doi.org/10.4213/tm4077
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
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 229–237
DOI: https://doi.org/10.1134/S0081543820010186
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
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
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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