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Denseness of ergodicity for a class of volume-preserving flows

Title
Denseness of ergodicity for a class of volume-preserving flows
Type
Article in International Scientific Journal
Year
2011
Authors
Mario Bessa
(Author)
Other
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Jorge Rocha
(Author)
FCUP
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Journal
Vol. 68
Pages: 1-17
ISSN: 0032-5155
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-WZS
Abstract (EN): We consider the class of C(1) partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C(1)-Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C(2) volume-preserving flow and so, as a consequence, ergodicity is dense.
Language: English
Type (Professor's evaluation): Scientific
Contact: bessa@fc.up.pt; jrocha@fc.up.pt
No. of pages: 17
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