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OverviewThe appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure. This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure. Connections of these sequences to additive number theory and tilings of the integers are also discussed. The material presented is self-contained and accessible to graduate students. A basic knowledge of measure theory is adequate for the reader. Full Product DetailsAuthor: Stanley Eigen , Arshag Hajian , Yuji Ito , Vidhu PrasadPublisher: Springer Verlag, Japan Imprint: Springer Verlag, Japan Edition: 2014 ed. Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.454kg ISBN: 9784431551072ISBN 10: 4431551077 Pages: 153 Publication Date: 01 September 2014 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. Existence of a finite invariant measure 2. Transformations with no Finite Invariant Measure 3. Infinite Ergodic Transformations 4. Three Basic Examples 5. Properties of Various Sequences 6. Isomorphism Invariants 7. Integer TilingsReviewsThe subject of the book under review is ergodic theory with a stress on WW sequences. ... The book is interesting, well written and contains a lot of examples. It constitutes a valuable addition to the mathematical pedagogical literature. (Athanase Papadopoulos, zbMATH, 1328.37006, 2016) Author InformationArshag Hajian Professor of Mathematics at Northeastern University, Boston, Massachusetts, U.S.A. Stanley Eigen Professor of Mathematics at Northeastern University, Boston, Massachusetts, U. S. A. Raj. Prasad Professor of Mathematics at University of Massachusetts at Lowell, Lowell, Massachusetts, U.S.A. Yuji Ito Professor Emeritus of Keio University, Yokohama, Japan. Tab Content 6Author Website:Countries AvailableAll regions |