Interdisciplinary Engineering
1573-8876
1757-7489
Mathematical Notes
en
https://scigraph.springernature.com/explorer/license/
Let S and T be automorphisms of a probability space whose powers S ⊗ S and T ⊗ T isomorphic. Are the automorphisms S and T isomorphičThis question of Thouvenot is well known in ergodic theory. We answer this question and generalize a result of Kulaga concerning isomorphism in the case of flows. We show that if weakly mixing flows St ⊗ St and Tt ⊗ Tt are isomorphic, then so are the flows St and Tt, provided that one of them has a weak integral limit.
900-904
research_article
https://link.springer.com/10.1134%2FS0001434618110330
2018-11
Thouvenot’s Isomorphism Problem for Tensor Powers of Ergodic Flows
2018-11-01
2019-04-11T08:29
articles
false
Ryzhikov
V. V.
10.1134/s0001434618110330
doi
7b5a9104755ca418378052643a66dd8c2a196613a82c0585047e5d8bd39606da
readcube_id
104
5-6
Springer Nature - SN SciGraph project
Engineering
dimensions_id
pub.1110980192
LomonosovMoscow State University, 119991, Moscow, Russia