Weakly Wandering Sequences in Ergodic Theory

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book Weakly Wandering Sequences in Ergodic Theory by Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad, Springer Japan
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Author: Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad ISBN: 9784431551089
Publisher: Springer Japan Publication: August 19, 2014
Imprint: Springer Language: English
Author: Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad
ISBN: 9784431551089
Publisher: Springer Japan
Publication: August 19, 2014
Imprint: Springer
Language: English

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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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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