Billiards in rectangles with barriers

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dc.creatorEskin, Alex
dc.creatorMasur, Howard
dc.creatorSchmoll, Martin
dc.date2001-07-28
dc.date.accessioned2026-07-07T04:42:46Z
dc.date.available2026-07-07T04:42:46Z
dc.descriptionWe use Ratner's theorem to compute the asymptotics of the number of (cylinders of) periodic trajectories in a rectangle with a barrier, assuming that the location p/q of the barrier is rational. We also show that as q tends to infinity, the constant in the asymptotic formula tends to the constant for the generic genus 2 flat surface.
dc.identifierhttps://arxiv.org/abs/math/0107204
dc.identifierhttp://arxiv.org/abs/math/0107204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61922
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37A99 (primary) 37E15, 37D40, 37D50 (secondary)
dc.titleBilliards in rectangles with barriers
dc.typetext

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