{"id":25200,"date":"2003-05-09T00:00:00","date_gmt":"2003-05-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/representacion-y-simulacion-de-procesos-fractales-multiparametricos\/"},"modified":"2003-05-09T00:00:00","modified_gmt":"2003-05-09T00:00:00","slug":"representacion-y-simulacion-de-procesos-fractales-multiparametricos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/representacion-y-simulacion-de-procesos-fractales-multiparametricos\/","title":{"rendered":"Representaci\u00f3n y simulaci\u00f3n de procesos fractales multiparam\u00e9tricos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rosaura Fern\u00e1ndez Pascual <\/strong><\/h2>\n<p>En diversas \u00e1reas de aplicaci\u00f3n interesa investigar el comportamiento conjunto de dos fen\u00f3menos f\u00edsicos aleatorios relacionados por una ecuaci\u00f3n dada en t\u00e9rminos de operadores. El objetivo de esta investigaci\u00f3n se centra en el estudio de los problemas de reconstrucci\u00f3n, extrapolaci\u00f3n y filtrado inversos asociados a una clase de campos aleatorios definidos mediante filtros lineales fraccionarios en t\u00e9rminos de ruido blanco.  se propone una aproximaci\u00f3n funcional basada en la formulaci\u00f3n de dichos problemas mediante campos aleatorios generalizados y sus desarrollos d\u00e9biles en t\u00e9rminos de wavelets transformadas definidas mediante los filtros lineales fraccionarios que relacionan la clase de campos aleatorios considerada con ruido blanco.  dichos desarrollos inducen respectivas expansiones en serie para los operadores de covarianza de los campos aleatorios de entrada y salida. Las soluciones a los problemas de reconstrucci\u00f3n y extrapolaci\u00f3n se formulan entonces en t\u00e9rminos de estos desarrollos en serie definidos mediante las correspondientes bases de riesz duales.  bajo ciertas condiciones, las soluciones definidas en sentido d\u00e9bil se interpretan en sentido fuerte.  el truncamiento de las series anteriores conduce a una aproximaci\u00f3n finito-dimensional del problema. El estudio del problema de filtrado se desarrolla en el mismo contexto de campos aleatorios generalizados pseudowavelets y se estudian condiciones sobre el orden de singularidad del ruido de observaci\u00f3n para que sea posible regularizar el problema.  se realizan estudios de simulaci\u00f3n para modelos pertenecientes a la familia de movimiento browniano fraccionario y ruido blanco integrado fraccionariamente.  en particular se analiza el roden de truncamiento en funci\u00f3n de la regularidad de los campos aleatorios de entrada y de salida y de la base de wavelets considerada. Para el problema de filtrado tambi\u00e9n se analiza la influencia de la regularidad del ruid<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Representaci\u00f3n y simulaci\u00f3n de procesos fractales multiparam\u00e9tricos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Representaci\u00f3n y simulaci\u00f3n de procesos fractales multiparam\u00e9tricos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rosaura Fern\u00e1ndez Pascual <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/09\/2003<\/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> Angulo Ib\u00e1\u00f1ez Jos\u00e9 Miguel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ram\u00f3n Guti\u00e9rrez Jaimez <\/li>\n<li>Juan  Carlos Ru\u00edz molina (vocal)<\/li>\n<li>wenceslao Gonz\u00e1lez manteiga (vocal)<\/li>\n<li>matieu Kessler (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rosaura Fern\u00e1ndez Pascual En diversas \u00e1reas de aplicaci\u00f3n interesa investigar el comportamiento conjunto de dos fen\u00f3menos f\u00edsicos [&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 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