Weakly Wandering Sequences in Ergodic Theory
Autres auteurs :
Hajian, Arshag.
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author.
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Ito, Yuji.
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author.
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Prasad, Vidhu.
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author.
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SpringerLink (Online service)
Collection :
Springer Monographs in Mathematics,
1439-7382
Détails physiques : XIV, 153 p. 15 illus. online resource.
ISBN :9784431551089.
Sujet(s) :
Mathematics.
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Dynamics.
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Ergodic theory.
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Functional analysis.
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Measure theory.
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Number theory.
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Mathematics.
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Dynamical Systems and Ergodic Theory.
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Number Theory.
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Measure and Integration.
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Functional Analysis.
Ressources en ligne :
Exemplaires : http://dx.doi.org/10.1007/978-4-431-55108-9
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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