Multiple recurrence of Markov shifts and other infinite measure preserving transformations

Jon Aaronson, Hitoshi Nakada

研究成果: Article

10 引用 (Scopus)

抄録

We discuss the concept of multiple recurrence, considering an ergodic version of a conjecture of Erdös. This conjecture applies to infinite measure preserving transformations. We prove a result stronger than the ergodic conjecture for the class of Markov shifts and show by example that our stronger result is not true for all measure preserving transformations.

元の言語English
ページ(範囲)285-310
ページ数26
ジャーナルIsrael Journal of Mathematics
117
出版物ステータスPublished - 2000

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Measure-preserving Transformations
Recurrence

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

Multiple recurrence of Markov shifts and other infinite measure preserving transformations. / Aaronson, Jon; Nakada, Hitoshi.

:: Israel Journal of Mathematics, 巻 117, 2000, p. 285-310.

研究成果: Article

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