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Weakly Wandering Sequences in Ergodic Theory : Mathematics and Statistics (R0) - Stanley Eigen

Weakly Wandering Sequences in Ergodic Theory

By: Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad

eText | 19 August 2014

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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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Non-FictionMathematicsApplied MathematicsNonlinear ScienceNumber TheoryCalculus & Mathematical AnalysisFunctional Analysis & TransformsIntegral Calculus & EquationsOptimisationLinear ProgrammingReference, Information & Interdisciplinary SubjectsResearch & Information
Information theoryCybernetics & Systems Theory

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