A weakly mixing upside-down tower of isometric extensions

S. Glasner, B. Weiss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

On the infinite torus X =using a category argument, we produce a large family of homeomorphisms such that for every element S in this family the flow (S, X) is weakly mixing and strictly ergodic. Moreover, writing Xn={n, n + 1…} and letting Πn, m, for n<m, be the projection of Xnon Xm, S induces for every n, a homeomorphism of Xnand the extensions are isometric. We also show that, for every S in this family, (S, X) is disjoint from every purely weakly mixing flow.

Original languageEnglish
Pages (from-to)151-157
Number of pages7
JournalErgodic Theory and Dynamical Systems
Volume1
Issue number2
DOIs
StatePublished - Jun 1981
Externally publishedYes

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