Georgii H.-O.
Mixing properties of induced random transformations
(29K, LaTex)
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 $E$.