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 …

This survey primarily deals with certain aspects of ergodic theory, ie the study of groups of
measure preserving transformations of a probability (Lebesgue) space up to a metric …

In this paper we shall study extensions in the theory of ergodic actions ofa locally compact
group. If G isa locally compact group, by an ergodic G-space we mean a Lebesgue space …

In this paper we discuss the use of dynamical and ergodic-theoretic ideas and methods to
solve some long-standing problems originating from Lie groups and number theory. These …

An important problem in ergodic theory is to determine when the restriction to a subgroup of
an ergodic action of a group is still ergodic. Classical results concerning the ergodicity of …

The paper contains the proof of the fact that every solvable locally compact separable group
is the range of a cocycle of an ergodic automorphism. The proof is based on the theory of …

Let G be a locally compact σ-compact group with right Haar measure λ. A sequence {μn} of
probabilities on G is called ergodic if for every f∈ L1 (G, λ) and t∈ G we have‖ μn*(f− δt …

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 us consider (Ω,, μ, G) a measure-preserving dynamical system,(Ω,, μ) is a probability
space. The group G, which is supposed to be either ℤd or ℝd (d≥ 1), acts on Ω by measure …

Sharp ergodic theorems for group actions and strong ergodicity Page 1 Ergod. Th. & Dynam.
Sys. (1999), 19, 1037–1061 Printed in the United Kingdom c 1999 Cambridge University …