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This article is cited in 7 scientific papers (total in 9 papers)
Existence of smooth ergodic flows on smooth manifolds
D. V. Anosov
Abstract:
It is proved that on any compact, connected, smooth manifold of dimension greater than two there exist smooth flows preserving a given measure with smooth positive density and ergodic with respect to it. (The smoothness is everywhere of infinite order.)
Received: 09.10.1973
Citation:
D. V. Anosov, “Existence of smooth ergodic flows on smooth manifolds”, Math. USSR-Izv., 8:3 (1974), 525–552
Linking options:
https://www.mathnet.ru/eng/im1939https://doi.org/10.1070/IM1974v008n03ABEH002120 https://www.mathnet.ru/eng/im/v38/i3/p518
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