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 …

Publisher Summary This chapter presents an exposition of homogeneous dynamics—that is,
the dynamical and ergodic properties of actions on the homogeneous spaces of Lie groups …

Ergodic theory in its broadest sense is the study of group actions on measure spaces.
Historically the discipline has tended to concentrate on the framework of integer actions, in …

In this paper we shall discuss how dynamical and ergodic-theoretic ideas can be used to
solve some long-standing problems arising from Lie groups and number theory. These …

The study of geodesic flows on homogeneous spaces is an area of research that has
recently yielded some fascinating developments. This book focuses on many of these, with …

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 …

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 …

A conference on the interaction of ergodic theory, differential geometry and the theory of Lie
Groups was held at the Mathematical Sciences Research Institute from May 24 to June 1 …

The basic idea in using group representations for questions of ergodicity is the following. If G
acts ergodically on (S, p), where p is a finite G-invariant measure, then there is a naturally …

Introduction. Professor Hedlund's name is associated with two of the classical dynamical
systems of topological dynamics, the geodesic flow and the horocycle flow on surfaces of …