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An introduction to infinite ergodic theory /

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Intended for readers initiated to metric space topology and measure theoretic probability, this volume focuses on the properties specific to infinite measure preserving transformations.First covered is 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. Annotation c. by Book News, Inc., Portland, Or.

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