caa a22 4500 477118283 CHVBK 20180405111628.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF02259620 doi (NATIONALLICENCE)springer-10.1007/BF02259620 Ryzhikov V. Chair TFFA, Dept. of Mathematics, Moscow State University, 119899, Moscow, Russia aut Stochastic intertwinings and multiple mixing of dynamical systems [Elektronische Daten] [V. Ryzhikov] We discuss a stochastic operator method in ergodic theory and its application to the well-known Rokhlin higher-order mixing problem. In this paper invariants of dynamical systems which guarantee multiple mixing property are considered. These invariants, which are expressed in terms of operators intertwining Cartesian products of systems, are some analogs of known properties of joinings. A typical result: any mixing flow (an action of the group ℝ n ) with a simple stochastic centralizer is mixing of all orders. Plenum Publishing Corporation, 1996 Simple dynamical system nationallicence joinings nationallicence higher-order mixing nationallicence intertwining operators nationallicence Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/1(1996-01-01), 1-19 1079-2724 2:1<1 1996 2 10883 https://doi.org/10.1007/BF02259620 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02259620 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ryzhikov V. Chair TFFA, Dept. of Mathematics, Moscow State University, 119899, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/1(1996-01-01), 1-19 1079-2724 2:1<1 1996 2 10883 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer