Multiple recurrence of Markov shifts and other infinite measure preserving transformations

Jon Aaronson, Hitoshi Nakada

研究成果: Article査読

10 被引用数 (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.

本文言語English
ページ(範囲)285-310
ページ数26
ジャーナルIsrael Journal of Mathematics
117
DOI
出版ステータスPublished - 2000 1 1

ASJC Scopus subject areas

  • Mathematics(all)

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