Weakly Wandering Sequences in Ergodic Theory
Eigen, Stanley.
Weakly Wandering Sequences in Ergodic Theory [electronic resource] / by Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad. - XIV, 153 p. 15 illus. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
9784431551089
10.1007/978-4-431-55108-9 doi
Mathematics.
Dynamics.
Ergodic theory.
Functional analysis.
Measure theory.
Number theory.
Mathematics.
Dynamical Systems and Ergodic Theory.
Number Theory.
Measure and Integration.
Functional Analysis.
QA313
515.39 515.48
Weakly Wandering Sequences in Ergodic Theory [electronic resource] / by Stanley Eigen, Arshag Hajian, Yuji Ito, Vidhu Prasad. - XIV, 153 p. 15 illus. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
9784431551089
10.1007/978-4-431-55108-9 doi
Mathematics.
Dynamics.
Ergodic theory.
Functional analysis.
Measure theory.
Number theory.
Mathematics.
Dynamical Systems and Ergodic Theory.
Number Theory.
Measure and Integration.
Functional Analysis.
QA313
515.39 515.48