Quasifactors of ergodic systems with positive entropy

Eli Glasner*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The relation between the two notions, quasifactors and joinings, is investigated and the notion of a joining quasifactor is introduced. We clarify the close connection between quasifactors and symmetric infinite selfjoinings which arises from de Finetti-Hewitt-Savage theorem. Unlike the zero-entropy case where quasifactors seems to preserve some properties of their parent system, it is shown that any ergodic system of positive entropy admits all ergodic systems of positive entropy as quasifactors. A restricted version of this result is obtained for joining quasifactors.

Original languageEnglish
Pages (from-to)363-380
Number of pages18
JournalIsrael Journal of Mathematics
Volume134
DOIs
StatePublished - 2003

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