A simpler proof of Mirzakhani's simple curve asymptotics

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dc.creatorRivin, Igor
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:54:49Z
dc.date.available2026-07-07T06:54:49Z
dc.descriptionMaryam Mirzakhani (in her doctoral dissertation) has proved the author's conjecture that the number of simple curves of length bounded by L on a hyperbolic surface S is assymptotic to a constant times L to the power d, where d is the dimension of the Teichmuller space of S. In this note we clarify and simplify Mirzakhani's argument.
dc.descriptionpreliminary version of a paper published in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/math/0512066
dc.identifierhttp://arxiv.org/abs/math/0512066
dc.identifierGeometriae dedicata, Vol 114, number 1, August 2005
dc.identifierdoi:10.1007/s10711-005-7153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106075
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57M50; 32G15
dc.titleA simpler proof of Mirzakhani's simple curve asymptotics
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