An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs) - Jonathan S. B. Aaronson (1997)
ISBN 0821804944
Subject Ergodic theory
Publisher American Mathematical Society
Publication Date July 1997
Format Hardcover (257 x 178 mm)
Language e
Plot
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations.

The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behavior, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behavior" 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.

Personal Details
Collection Status In Collection
Index 60
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA313 .A23 1997 vol 50
Dewey 515/.42
Cover Price $87.00
No. of Pages 284