Download E-books An Introduction to Infinite Ergodic Theory (Mathematical Surveys and Monographs) PDF

By Jon Aaronson

Limitless ergodic concept is the learn of degree maintaining changes of limitless degree areas. The ebook specializes in houses particular to endless degree conserving variations. The paintings starts with an advent to uncomplicated nonsingular ergodic concept, together with recurrence habit, life of invariant measures, ergodic theorems, and spectral thought. a variety of attainable ``ergodic behavior'' is catalogued within the 3rd bankruptcy mostly based on the yardsticks of intrinsic normalizing constants, legislation of enormous numbers, and go back sequences. the remainder of the booklet contains illustrations of those phenomena, together with Markov maps, internal services, and cocycles and skew items. One bankruptcy provides a begin at the category conception.

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