Let G be a locally compact second countable group, and let (g, x)→ gx be a properly ergodic
nonsingular action of G on a probability space (X, I, μ). This action is called mildly mixing if …

Let $ G $ be an amenable discrete countable infinite group, let $ A $ be a finite set, and let
$(\mu _g) _ {g\in G} $ be a family of probability measures on $ A $ such that $\inf _ {g\in …

An ergodic measure-preserving transformation T of a probability space is said to be simple
(of order 2) if every ergodic joining λ of T with itself is either μ× μ or an off-diagonal measure …

Let G be a a-compact locally compact Hausdorff group. There has been a great deal of study
of random walks on G, these studies all involving to some degree the properties of the …

Weak mixing and unique ergodicity on homogeneous spaces Page 1 ISRAEL JOURNAL OF
MATHEMATICS, Vol. 23. Nos. 3-4. 1976 WEAK MIXING AND UNIQUE ERGODICITY ON …

In this paper we consider weakly, mildly, and strongly mixing, finite measure‐preserving,
ergodic actions of locally compact groups. For a given group G, the mixing properties of its …

Let T1,…, Tn be continuous representations of a σ-compact separable locally compact
amenable group G as measure-preserving transformations of a non-atomic separable …

Let G be a countably infinite group. Let (X, fl, m) be a probability space on which G acts as a
group of measure-preserving transformations. The action of G is ergodic if whenever A~ fl …

This paper discusses the relations between the following properties o finite measure
preserving ergodic actions of a countable group G: strong ergodicity (ie the non-existence of …

Let X be a compact metrizable space,~(X) its G-algebra of Borel sets, and let T be a
homeomorphism of X. We denote for a Borel measure# on X by T/2 the measure that is …