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arXiv:1003.1808 [math.DS]AbstractReferencesReviewsResources

Cocycles over interval exchange transformations and multivalued Hamiltonian flows

Jean-Pierre Conze, Krzysztof Fraczek

Published 2010-03-09Version 1

We consider interval exchange transformations of periodic type and construct different classes of recurrent ergodic cocycles of dimension $\geq 1$ over this special class of IETs. Then using Poincar\'e sections we apply this construction to obtain recurrence and ergodicity for some smooth flows on non-compact manifolds which are extensions of multivalued Hamiltonian flows on compact surfaces.

Comments: 45 pages, 2 figures
Categories: math.DS
Subjects: 37A40, 37C40
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