An Introduction to Infinite Ergodic Theory

Released on by Jon Aaronson
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  • An Introduction to Infinite Ergodic Theory Book Detail

  • Author : Jon Aaronson
  • Release Date : 1997
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 298
  • ISBN 13 : 0821804944
  • File Size : 16,16 MB
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An Introduction to Infinite Ergodic Theory by Jon Aaronson PDF Summary

Book Description: 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 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.

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