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Science/Engineering An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)

Posted on 2010-03-16




Name:Science/Engineering An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)
ASIN/ISBN:0821804944
Language:English
File size:9.4 Mb
ISBN: 0821804944
Publish Date: 1997
File Type: PDF
Pages: 284 Pages
File Size: 9,4 MB
Other Info: American Mathematical Society
   Science/Engineering An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)

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Jonathan S. B. Aaronson: "An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs)"

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.

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