Weakly Wandering Sequences in Ergodic Theory

Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad

Springer Japan, Sep 1, 2014 - Mathematics - 153 pages

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.

About the author

Arshag Hajian Professor of Mathematics at Northeastern University, Boston, Massachusetts, U.S.A. Stanley Eigen Professor of Mathematics at Northeastern University, Boston, Massachusetts, U. S. A. Raj. Prasad Professor of Mathematics at University of Massachusetts at Lowell, Lowell, Massachusetts, U.S.A. Yuji Ito Professor Emeritus of Keio University, Yokohama, Japan.

Bibliographic information

• Title: Weakly Wandering Sequences in Ergodic Theory; Springer Monographs in Mathematics
• Authors: Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad
• Edition: illustrated
• Publisher: Springer Japan, 2014
• ISBN: 4431551077, 9784431551072
• Length: 153 pages
• Subjects: Mathematics / Calculus; Mathematics / Functional Analysis; Mathematics / Linear & Nonlinear Programming; Mathematics / Mathematical Analysis; Mathematics / Number Theory