Stochastic intertwinings and joinings of dynamic systems
Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 130-140
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The study of the joint dynamics of a group action and a stochastic operator that commutes with it is associated with a number of problems in ergodic theory. In the present work assertions concerning the disjunctivity, factors, $\kappa$-mixing, and weak multiple mixing of dynamic systems are proved using the language of stochastic intertwining operators.