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arXiv · 1003.1808

Cocycles over interval exchange transformations and multivalued Hamiltonian flows

Jean-Pierre Conze·Krzysztof Fraczek
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Abstract

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 Poincaré 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.

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Jean-Pierre Conze, Krzysztof Fraczek. 2010-03-09. Cocycles over interval exchange transformations and multivalued Hamiltonian flows. https://arxiv.org/abs/1003.1808

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