Weakly Wandering Sequences in Ergodic Theory

Author:   Stanley Eigen ,  Arshag Hajian ,  Yuji Ito ,  Vidhu Prasad
Publisher:   Springer Verlag, Japan
Edition:   2014 ed.
ISBN:  

9784431551072


Pages:   153
Publication Date:   01 September 2014
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Weakly Wandering Sequences in Ergodic Theory


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Overview

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.

Full Product Details

Author:   Stanley Eigen ,  Arshag Hajian ,  Yuji Ito ,  Vidhu Prasad
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   2014 ed.
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9784431551072


ISBN 10:   4431551077
Pages:   153
Publication Date:   01 September 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Existence of a finite invariant measure 2. Transformations with no Finite Invariant Measure 3. Infinite Ergodic Transformations 4. Three Basic Examples 5. Properties of Various Sequences 6. Isomorphism Invariants 7. Integer Tilings

Reviews

The subject of the book under review is ergodic theory with a stress on WW sequences. ... The book is interesting, well written and contains a lot of examples. It constitutes a valuable addition to the mathematical pedagogical literature. (Athanase Papadopoulos, zbMATH, 1328.37006, 2016)


Author Information

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.

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