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Foliations and minimality for twist maps
In this paper we consider area-preserving twist maps $f:\mathbf{T}^2\to\mathbf{T}^2$ with vertical rotation sets reduced to a single irrational number $α$. Our first result states that under these hypotheses, there exists a $f$-invariant foliation $\mathcal{F}_G=\{\operatorname{Graph}(ϕ_t)\}_{t\in\m
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