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Título:
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Limit points of lines of minima in Thurston's boundary of Teichmüller space
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Autores:
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Díaz Sánchez, Raquel ;
Series, Caroline
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Tipo de documento:
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texto impreso
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Editorial:
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Mathematical Sciences Publishers, 2003
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Tipo = Artículo
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Resumen:
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Given two measured laminations µ and ? in a hyperbolic sur-face which fill up the surface, Kerckhoff defines an associated line of minima along which convex combinations of the length functions of µ and? are minimised. This is a line in Teichmüller space which can be thought as analogous to the geodesic in hyperbolic space determined by two points at infinity. We show that when µ is uniquely ergodic, this line converges to the projective lamination [µ], but that when µ is rational, the line converges not to [µ], but rather to the barycentre of the support of µ. Similar results on the behaviour of Teichmüller geodesics have been proved by Masur
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En línea:
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https://eprints.ucm.es/id/eprint/15710/1/DiazRaquel03.pdf
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