Fundamentals of Measurable Dynamics: Ergodic Theory on Lebesgue Spaces - Ergodic Theory on Lebesgue Spaces - Daniel J. Rudolph (1990)
ISBN 0198535724
Subject Ergodic theory; Measure-preserving transformations
Publisher Oxford University Press, USA
Publication Date 12/27/1990
Format Hardcover (241 x 159 mm)
Language e
This book is designed to provide graduate students and other researchers in dynamical systems theory with an introduction to the ergodic theory of Lebesgue 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 Lebesgue 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 Lebesgue 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.
Personal Details
Collection Status In Collection
Index 844
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA614 .R83 1990
Dewey 515/.43
Cover Price $65.00
No. of Pages 184