Weakly Wandering Sequences in Ergodic Theory [electronic resource] / by Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad.

By:

Eigen, Stanley [author.]

Contributor(s):

Material type: Text

TextSeries: Springer Monographs in MathematicsPublisher: Tokyo : Springer Japan : Imprint: Springer, 2014Description: XIV, 153 p. 15 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9784431551089

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

515.39 23
515.48 23

LOC classification:

QA313

Online resources:

Click here to access online

In: Springer eBooksSummary: 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.

Holdings ( 1 )
Title notes ( 1 )

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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.