Weakly Wandering Sequences in Ergodic Theory

• Κύριοι συγγραφείς: Eigen, Stanley (Συγγραφέας), Hajian, Arshag (Συγγραφέας), Ito, Yuji (Συγγραφέας), Prasad, Vidhu (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Tokyo : Springer Japan : Imprint: Springer, 2014.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Measure theory.; Number theory.; Dynamical Systems and Ergodic Theory.; Number Theory.; Measure and Integration.; Functional Analysis.
• Φυσική περιγραφή: XIV, 153 p. 15 illus. online resource.
• ISBN: 9784431551089
• ISSN: 1439-7382

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.