Weakly Wandering Sequences in Ergodic Theory / Springer Monographs in Mathematics (PDF)
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The 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.
- Autoren: Stanley Eigen , Arshag Hajian , Yuji Ito , Vidhu Prasad
- 2014, 2014, 153 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 4431551085
- ISBN-13: 9784431551089
- Erscheinungsdatum: 19.08.2014
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- Größe: 2.10 MB
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“The 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)
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