The theory of measure preserving transformations and flows (a flow is a 1-parameter group
of measure preserving transformations) originated in the study of classical dynamical …

Ergodic theory originally arose from study of the time evolution of a mechanical system. If T,
denotes the transformation of the phase space of a system which takes a state of the system …

Introduction. Ergodic sets were introduced by Kryloff and Bogoliouboff in 1937 in connection
with their study of compact dynamical systems [16]. The purpose of this paper is to review …

Section 1. Let M be a Borel space, and let H be a locally compact group which is separable
in the sense of the second axiom of countability. We shall assume that M is analytic (see …

On Rudolph's representation of aperiodic flows Page 1 ANNALES DE L’IHP, SECTION B
ULRICH KRENGEL On Rudolph’s representation of aperiodic flows Annales de l’IHP, section …

The main result of Part I is Theorem 1. This is a maximal theorem for certain operators on
abstract L spaces, where 1? p< oo and E is a Banach space. This theorem contains as …

In the study of dynamical systems one is led naturally to the consideration of measure-
preserving transformations. A Hamiltonian system of 2n differential equations induces in the …

Ergodic theory is a relatively new branch of mathematics which from a mathematical point of
view may be regarded as generated by the interaction of measure theory and the theory of …

WEAKLY ALMOST PERIODIC FLOWS Page 1 transactions of the american mathematical
society Volume 313, Number I, May 1989 WEAKLY ALMOST PERIODIC FLOWS R. ELLIS AND …

1. Introduction. The purpose of this paper is to show that Bernoulli shifts can be imbedded in
a flow. The flow is the following: the flow, St'will be a flow built under a function (see [11, 12]) …