書誌事項

Weakly wandering sequences in ergodic theory

Stanley Eigen ... [et al.]

(Springer monographs in mathematics)

Springer, c2014

この図書・雑誌をさがす

注記

Other authors: Arshag Hajian, Yuji Ito, Vidhu Prasad

Includes bibliographical references (p. 147-149) and index

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BB16580104
  • ISBN
    • 9784431551072
  • 出版国コード
    ja
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Tokyo
  • ページ数/冊数
    xiv, 153 p.
  • 大きさ
    25 cm
  • 親書誌ID
ページトップへ

AltStyle によって変換されたページ (->オリジナル) /