书目名称 | Weakly Wandering Sequences in Ergodic Theory |
编辑 | Stanley Eigen,Arshag Hajian,Vidhu Prasad |
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概述 | Provides a full account of the problem of finite invariant measures for measurable transformations with a detailed explanation of its history.Explains in detail the properties and significance of weak |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2014 |
关键词 | Direct sum decompositions of N and Z; Infinite ergodic transformations; Invariant measures for ergodic |
版次 | 1 |
doi | https://doi.org/10.1007/978-4-431-55108-9 |
isbn_softcover | 978-4-431-56400-3 |
isbn_ebook | 978-4-431-55108-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Japan 2014 |