Fundamentals of Measurable Dynamics by Daniel J Rudolph

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Fundamentals of Measurable Dynamics by Daniel J Rudolph

Summary

Designed to provide graduate students and other researchers in dynamical systems theory with an introduction to the ergodic theory of Lebesgue spaces. Many exercises and examples are included to illustrate and to further cement the reader's understanding of the material.

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Fundamentals of Measurable Dynamics by Daniel J Rudolph

This textbook is designed to provide graduate students and other researchers in dynamical systems theory with an introduction to the ergodic theory of Lebesque spaces. The author's aim is to present a technically complete account which offers an in-depth understanding of the techniques of the field, both classical and modern. Thus, the basic structure theorems of Lebesque spaces are given in detail as well as complete accounts of the ergodic theory of a single transformation, ergodic theorems, mixing properties and entropy. Subsequent chapters extend the earlier material to the areas of joinings and representation theorems, in particular the theorems of Ornstein and Krieger. Prerequisites are a working knowledge of Lebesque measure and the topology of the real line as might be gained from the first year of a graduate course. Many exercises and examples are included to illustrate and to further cement the reader's understanding of the material. The result is a text which will furnish the reader with a sound technical background from the foundations of the subject to some of its most recent developments.
SKU Unavailable
ISBN 13 9780198535720
ISBN 10 0198535724
Title Fundamentals of Measurable Dynamics
Author Daniel J Rudolph
Condition Unavailable
Publisher Oxford University Press
Year published 1990-11-01
Number of pages 178
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable