Infinite measure preserving flows with infinite ergodic index

Alexandre I. Danilenko; Anton V. Solomko

Alexandre I. Danilenko ; Anton V. Solomko

Colloquium Mathematicae, Tome 116 (2009), p. 13-19 / Harvested from The Polish Digital Mathematics Library

Résumé

We construct a rank-one infinite measure preserving flow ${(T_{r})}_{r \in ℝ}$ such that for each p > 0, the “diagonal” flow ${(T_{r} \times \dots \times T_{r})}_{r \in ℝ} (p t i m e s)$ on the product space is ergodic.

Publié le : 2009-01-01

Zbl 1167.37010

EUDML-ID : urn:eudml:doc:283834

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     author = {Alexandre I. Danilenko and Anton V. Solomko},
     title = {Infinite measure preserving flows with infinite ergodic index},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {13-19},
     zbl = {1167.37010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-2}
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Alexandre I. Danilenko; Anton V. Solomko. Infinite measure preserving flows with infinite ergodic index. Colloquium Mathematicae, Tome 116 (2009) pp. 13-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-2/