TY  - BOOK
AU  - Eigen,Stanley
AU  - Hajian,Arshag
AU  - Ito,Yuji
AU  - Prasad,Vidhu
ED  - SpringerLink (Online service)
TI  - Weakly Wandering Sequences in Ergodic Theory
T2  - Springer Monographs in Mathematics,
SN  - 9784431551089
AV  - QA313 
U1  - 515.39 23
PY  - 2014///
CY  - Tokyo
PB  - Springer Japan, Imprint: Springer
KW  - Mathematics
KW  - Dynamics
KW  - Ergodic theory
KW  - Functional analysis
KW  - Measure theory
KW  - Number theory
KW  - Dynamical Systems and Ergodic Theory
KW  - Number Theory
KW  - Measure and Integration
KW  - Functional Analysis
N2  - 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
UR  - http://dx.doi.org/10.1007/978-4-431-55108-9
ER  -