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Titlebook: Weakly Wandering Sequences in Ergodic Theory; Stanley Eigen,Arshag Hajian,Vidhu Prasad Book 2014 Springer Japan 2014 Direct sum decomposit

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发表于 2025-3-21 19:49:15 | 显示全部楼层 |阅读模式
书目名称Weakly Wandering Sequences in Ergodic Theory
编辑Stanley Eigen,Arshag Hajian,Vidhu Prasad
视频video
概述Provides a full account of the problem of finite invariant measures for measurable transformations with a detailed explanation of its history.Explains in detail the properties and significance of weak
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Weakly Wandering Sequences in Ergodic Theory;  Stanley Eigen,Arshag Hajian,Vidhu Prasad Book 2014 Springer Japan 2014 Direct sum decomposit
描述.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..
出版日期Book 2014
关键词Direct sum decompositions of N and Z; Infinite ergodic transformations; Invariant measures for ergodic
版次1
doihttps://doi.org/10.1007/978-4-431-55108-9
isbn_softcover978-4-431-56400-3
isbn_ebook978-4-431-55108-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Japan 2014
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Existence of Finite Invariant Measure,In this chapter we discuss properties of a transformation . that are equivalent to the transformation being recurrent. We show that strengthened versions of these properties, together with a few more properties of ., are necessary and sufficient conditions for the existence of a finite invariant measure . for ..
发表于 2025-3-22 04:44:51 | 显示全部楼层
Transformations with No Finite Invariant Measure,In this chapter we consider properties of transformations defined on a sigma-finite measure space . that do not preserve a finite measure . ∼ ..
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Properties of Various Sequences,In this chapter we discuss properties of infinite sequences of integers associated with an infinite ergodic transformation. We note that all the sequences we consider are isomorphism invariants for such transformations.
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Existence of Finite Invariant Measure,In this chapter we discuss properties of a transformation . that are equivalent to the transformation being recurrent. We show that strengthened versions of these properties, together with a few more properties of ., are necessary and sufficient conditions for the existence of a finite invariant measure . for ..
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