Mathematics – Dynamical Systems
Scientific paper
2010-03-09
Mathematics
Dynamical Systems
45 pages, 2 figures
Scientific paper
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.
Conze Jean-Pierre
Fraczek Krzysztof
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