{"id":142789,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/valores-frontera-de-funciones-armonicas-geodesicas-en-superficies-de-riemann\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"valores-frontera-de-funciones-armonicas-geodesicas-en-superficies-de-riemann","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/valores-frontera-de-funciones-armonicas-geodesicas-en-superficies-de-riemann\/","title":{"rendered":"Valores frontera de funciones armonicas. geodesicas en superficies de riemann."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jose Gonzalez Llorente <\/strong><\/h2>\n<p>La tesis esta constituida por dos partes, la primera analitica y probabilistica y la segunda geometrica. En la primera parte se dan estimaciones de la dimension de hausdorff de algunos conjuntos especiales de la circunferencia unidad relacionados con el comportamiento frontera de funciones armonicas en el disco unidad.  tambien se dan ejemplos de funciones armonicas cuyos limites radiales presentan un comportamiento prefijado.  la construccion de estos ejemplos esta inspirada en consideraciones de tipo probabilistico.  en la segunda parte se traducen geometricamente los resultados analiticos de la primera en terminos del comportamiento asintotico de geodesicas en superficies de riemann.  concretamente se estima la dimension de hausdorff del conjunto de direcciones de las geodesicas que, partiendo de un punto cualquiera, se marchan a infinito en la superficie.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Valores frontera de funciones armonicas. geodesicas en superficies de riemann.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Valores frontera de funciones armonicas. geodesicas en superficies de riemann. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jose Gonzalez Llorente <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1993<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jos\u00e9 Luis Fernandez  Perez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Baldomero Rubio Segovia <\/li>\n<li>Daniel Pascuas Tijero (vocal)<\/li>\n<li> Carmona Domenech Juan  Jos\u00e9 (vocal)<\/li>\n<li>Daniel Girela Alvarez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jose Gonzalez Llorente La tesis esta constituida por dos partes, la primera analitica y probabilistica y la [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,986,37498,583,127,126],"tags":[6339,113311,81496,240996,96635,15064],"class_list":["post-142789","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-complutense-de-madrid","category-funciones-de-una-variable-compleja","category-geometria","category-geometria-de-riemann","category-matematicas","tag-baldomero-rubio-segovia","tag-carmona-domenech-juan-jose","tag-daniel-girela-alvarez","tag-daniel-pascuas-tijero","tag-jose-gonzalez-llorente","tag-jose-luis-fernandez-perez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/142789","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=142789"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/142789\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=142789"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=142789"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=142789"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}