In 1978, RJ Zimmer introduced the notion of amenability for an action of a separable locally
compact group, or an equivalence relation, on a standard Borel space with a probability …

If X and Y are ergodic G-spaces, where G is a locally compact group, and X is an extension
of Y, we study a notion of amenability for the pair $(X, Y) $. This simultaneously generalizes …

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 …

On Herman's theorem for ergodic, amenable group extensions of endomorphisms Page 1
Ergod. Th. & Dynam. Sys. (2004), 24, 1283–1293 c 2004 Cambridge University Press DOI …

We show that if Γ is a countable non-amenable group, then Γ admits continuum many orbit
inequivalent free, measure preserving, ergodic actions on a standard Borel space with …

We present a general new method for constructing pointwise ergodic sequences on
countable groups which is applicable to amenable as well as to non-amenable groups and …

Suppose that a countable group G acts freely and ergodically on the standard probability
space (X, µ) preserving the probability measure µ. We are interested in several types of …

Classically, ergodic theory began with the study of flows or actions of R. Later, for technical
reasons, much of the theory was first developed for actions of Z. More recently, there has …

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 …

1. Introduction. Throughout this paper the term'probability space'will denote a nonatomic
Lebesgue probability space. Let G be a countable group,(X, 8, It) a probability space, and let …