Diophantine and ergodic foliations on surfaces

This paper gives a topological characterization of Diophantine and recurrent laminations on surfaces. It also establishes an upper bound for the number of ergodic components of a measured foliation, in terms of limits of the corresponding geodesic ray in Mg,n. Taken together, these results give a new approach to Masur’s theorem on unique ergodicity. Teichm… CONTINUE READING

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