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Weakly Wandering Sequences in Ergodic Theory (Paperback, Softcover reprint of the original 1st ed. 2014)
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Weakly Wandering Sequences in Ergodic Theory (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer Monographs in Mathematics
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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.
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