An Introduction to Infinite Ergodic Theory

ISBN-13: 9780821804940 / Angielski / Twarda / 1997 / 284 str.

Jon Aaronson

Opis

This work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible ergodic behaviour is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.