These are notes of a one-semester introductory course on Ergodic Theory that I gave at the
University of Maryland in College Park during the fall of 1970. I assumed the audience had …

This book has been sixteen years aborning. In 1959–1960 the author sat in the lectures of S.
Kakutani at Yale University and learned his first lessons in ergodic theory. Notes taken in …

" Several examples of a dynamical system are developed in detail to illustrate various
dynamical concepts. These include in particular the baker's transformation, irrational …

This is an introductory book on Ergodic Theory. The presentation has a slow pace and the
book can be read by any person with a background in basic measure theory and metric …

This book is an essentially self contained introduction to topological dynamics and ergodic
theory. It is divided into a number of relatively short chapters with the intention that each may …

The study of dynamical systems forms a vast and rapidly developing field even when one
considers only activity whose methods derive mainly from measure theory and functional …

This concise classic by Paul R. Halmos, a well-known master of mathematical exposition,
has served as a basic introduction to aspects of ergodic theory since its first publication in …

This text provides an introduction to ergodic theory suitable for readers knowing basic
measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped …

0. Introduction. Ergodic theory involves itself with the study of transformations of a measure
space. Topological dynamics is involved with homeomorphisms of a topological space. The …

Ergodic theory studies measure-preserving transformations of measure spaces. These
objects are intrinsically infinite, and the notion of an individual point or of an orbit makes no …