8 citations · 16 across the 8 of their papers we have counts for
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math.DS2010★ 3 cited
Khinchin type condition for translation surfaces and asymptotic laws for the Teichmuller flow
Luca Marchese
We study a diophantine property for translation surfaces, defined in term of saddle connections and inspired by the classical theorem of Khinchin. We prove that the same dichotomy…
math.DS2010★ 1 cited
Khinchin theorem for interval exchange transformations
Luca Marchese
We define a diophantine condition for interval exchange transformations (i.e.t.s). When the number of intervals is two, that is for rotations on the circle, our condition coincides…