The Horocycle Flow at Prime Times
نویسنده
چکیده
We prove that the orbit of a generic point at prime values of the horocycle flow in the modular surface is dense in a set of positive measure; for some special orbits we also prove that they are dense in the whole space (assuming the Ramanujan/Selberg conjectures for GL2/Q). In the process, we derive an effective version of Dani’s Theorem for the (discrete) horocycle flow.
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تاریخ انتشار 2011