{"id":6484,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/geometria-de-medidas-y-conjuntos-autosemejantes\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"geometria-de-medidas-y-conjuntos-autosemejantes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/geometria-de-medidas-y-conjuntos-autosemejantes\/","title":{"rendered":"Geometria de medidas y conjuntos autosemejantes."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Rey Simo Jos\u00e9 Manuel <\/strong><\/h2>\n<p>En este trabajo se investigan propiedades geometricas de conjuntos y medidas autosemejantes, que se obtienen como realizaciones geometricas de procesos abstractos de bernouilli con espacio de estados m (finito o numerable).  respecto a la geometria de las medidas autosemejantes, se resuelve el problema planteado por c. Band (1991), de la singularidad de las medidas autosemejantes. Se demuestra que, bajo la condicion estandar de abierto; todas las medidas autosemejantes asociadas al mismo vector de probabilidades en m son isomorfas y que dos medidas autosemejantes distintas son mutuamente singulares. Se obtiene tambien una clasificacion muy precisa de la clase de las funciones de dimension en terminos de la singularidad de las medidas autosemejantes respecto a las medidas de hausdorff y las medidas packing. Finalmente se encuentra la formula de la dimension de las medidas autosemejantes asociadas a un espacio de estados numerable.  en cuanto a la geometria de conjuntos autosemejantes, se extiende el analisis de numeros normales de borel a este contexto.  se estudian tambien propiedades de otros conjuntos geometricos definidos en terminos frecuenciales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometria de medidas y conjuntos autosemejantes.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometria de medidas y conjuntos autosemejantes. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Rey Simo Jos\u00e9 Manuel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/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>Manuel Moran Cabre<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  De Guzman Ozamiz Miguel <\/li>\n<li>Miguel Reyes Castro (vocal)<\/li>\n<li> Carrillo Quintela M. Teresa (vocal)<\/li>\n<li> Martin Martin Miguel Angel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rey Simo Jos\u00e9 Manuel En este trabajo se investigan propiedades geometricas de conjuntos y medidas autosemejantes, que [&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":[3183,126,3385],"tags":[24222,4255,16171,24223,16168,24221],"class_list":["post-6484","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","category-medida-integracion-y-area","tag-carrillo-quintela-m-teresa","tag-de-guzman-ozamiz-miguel","tag-manuel-moran-cabre","tag-martin-martin-miguel-angel","tag-miguel-reyes-castro","tag-rey-simo-jose-manuel"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/6484","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=6484"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/6484\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=6484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=6484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=6484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}