95-530 Georgii H.-O.

Mixing properties of induced random transformations (29K, LaTex) 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 measure--preserving 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 K--mixing whenever a natural subgroup of $G$ acts ergodically on $E$.

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