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Weakly Wandering Sequences in Ergodic Theory

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 mea...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Eigen, Stanley (Autor), Hajian, Arshag (Autor), Ito, Yuji (Autor), Prasad, Vidhu (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Tokyo : Springer Japan : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Monographs in Mathematics,
Temas:
Acceso en línea:Texto Completo

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520 |a 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. 
650 0 |a Dynamical systems. 
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