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Horocycle flow orbits and lattice surface characterizations
Published online by Cambridge University Press: 28 September 2017
Abstract
The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $\text{SL}_{2}(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the horocycle flow.
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- © Cambridge University Press, 2017