 95530 Georgii H.O.
 Mixing properties of induced random transformations
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Dec 13, 95

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Abstract. Let $S(N)$ be a random walk on a countable abelian group
$G$ which acts on a probability space $E$ by measurepreserving transformations
$(T_v)_{v\in G}$. For any $\L \subset E$ we consider the random return time $\t$ at which $T_{S(\t)}\in\L$. We show that the corresponding induced
skew product transformation is Kmixing whenever a natural subgroup of
$G$ acts ergodically on $E$.
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