Infinite measure preserving flows with infinite ergodic index
Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 13-19
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We construct a rank-one infinite measure preserving flow $(T_r)_{r\in\Bbb R}$ such that
for each $p>0$, the “diagonal” flow
$({T_r\times\cdots\times T_r})_{r\in\Bbb R}\,(p\,{\rm times})$
on the product space is ergodic.
Keywords:
construct rank one infinite measure preserving flow bbb each diagonal flow times cdots times bbb times product space ergodic
Affiliations des auteurs :
Alexandre I. Danilenko 1 ; Anton V. Solomko 2
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author = {Alexandre I. Danilenko and Anton V. Solomko},
title = {Infinite measure preserving flows with infinite ergodic index},
journal = {Colloquium Mathematicum},
pages = {13--19},
publisher = {mathdoc},
volume = {115},
number = {1},
year = {2009},
doi = {10.4064/cm115-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm115-1-2/}
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Alexandre I. Danilenko; Anton V. Solomko. Infinite measure preserving flows with infinite ergodic index. Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 13-19. doi: 10.4064/cm115-1-2
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