<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-29T08:09:22Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/42214" metadataPrefix="oai_dc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/42214</identifier><datestamp>2023-08-26T01:48:22Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Asymptotic behabior of grafting rays</dc:title>
   <dc:creator>Díaz Sánchez, Raquel</dc:creator>
   <dc:creator>Inkang, Kim</dc:creator>
   <dc:subject>514</dc:subject>
   <dc:subject>Projective structure</dc:subject>
   <dc:subject>Hyperbolic structure</dc:subject>
   <dc:subject>Grafting</dc:subject>
   <dc:subject>Teichmüller space</dc:subject>
   <dc:subject>Geometría</dc:subject>
   <dc:subject>1204 Geometría</dc:subject>
   <dc:description>In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the same as for Teichmuller geodesics and lines of minima. We also show that the ray grafted along a weighted system of simple closed curves is at bounded distance from Teichmuller geodesic.</dc:description>
   <dc:description>MCyT, DGI</dc:description>
   <dc:description>NRF</dc:description>
   <dc:description>Depto. de Álgebra, Geometría y Topología</dc:description>
   <dc:description>Fac. de Ciencias Matemáticas</dc:description>
   <dc:description>TRUE</dc:description>
   <dc:description>pub</dc:description>
   <dc:date>2023-06-20T00:13:01Z</dc:date>
   <dc:date>2023-06-20T00:13:01Z</dc:date>
   <dc:date>2012</dc:date>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/42214</dc:identifier>
   <dc:identifier>1572-9168</dc:identifier>
   <dc:identifier>10.1007/s10711-011-9632-x</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>BFM2003-03971</dc:relation>
   <dc:relation>MTM2006-14688</dc:relation>
   <dc:relation>R01-2008-000-10052-0</dc:relation>
   <dc:rights>restricted access</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher>Springer</dc:publisher>
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