{"id":74888,"date":"2018-03-09T23:20:00","date_gmt":"2018-03-09T23:20:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/modelos-electrostaticos-de-ceros-de-polinomios-semiclasicos\/"},"modified":"2018-03-09T23:20:00","modified_gmt":"2018-03-09T23:20:00","slug":"modelos-electrostaticos-de-ceros-de-polinomios-semiclasicos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/modelos-electrostaticos-de-ceros-de-polinomios-semiclasicos\/","title":{"rendered":"Modelos electrostaticos de ceros de polinomios semiclasicos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Angeles Garrido Berenguel <\/strong><\/h2>\n<p>En la presente memoria se estudia y desarrolla un modelo matem\u00e1tico para  el tratamiento electrost\u00e1tico de la distribuci\u00f3n de ceros de polinomios ortogonales respecto a funcionales semicl\u00e1sicos. Estos funcionales satisfacen una ecuaci\u00f3n diferencial distribucional de pearson. Dichos funcionales abarcan un amplio muestrario de ejemplos que aparecen en numerosos modelos de la f\u00edsica matem\u00e1tica, estad\u00edstica, etc. Los resultados obtenidos en esta memoria en un contexto gen\u00e9rico han sido analizados detalladamente en una serie de modelos no tratados hasta la fecha y que iluminan la potencia de las t\u00e9cnicas utilizadas. Asimismo, hemos comparado diferentes metodolog\u00edas que abordan el problema electrost\u00e1tico de la distribuci\u00f3n de ceros, esto es, tanto desde una perspectiva de la teor\u00eda del potencial a otra orientada a las propiedades estructurales de polinomios ortogonales.  se introduce el concepto de clase de un funcional semicl\u00e1sico y se analiza la clase de una familia de perturbaciones de funcionales cl\u00e1sicos mediante la adici\u00f3n de una suma finita de derivadas de masas de dirac localizadas en la frontera del soporte de la medida de ortogonalidad. Tambi\u00e9n se introduce el proceso de simetrizaci\u00f3n para estudiar la clase de funcionales simetrizados de funcionales semicl\u00e1sicos. Se aborda la interpretaci\u00f3n electrost\u00e1tica de ceros de polinomios ortogonales analizando posteriormente el caso de los pesos de freud as\u00ed como un modelo semicl\u00e1sico tipo hermite. Finalmente se analizan las propiedades estructurales de los polinomios ortogonales respecto a un funcional lineal tipo freud y se presenta la interpretaci\u00f3n electrost\u00e1tica de la distribuci\u00f3n de sus ceros.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Modelos electrostaticos de ceros de polinomios semiclasicos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Modelos electrostaticos de ceros de polinomios semiclasicos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Angeles Garrido Berenguel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/06\/2005<\/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>Francisco Marcellan Espa\u00f1ol<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: guillermo Lopez lagomasino <\/li>\n<li>walter Van assche (vocal)<\/li>\n<li>Jes\u00fas S\u00e1nchez dehesa moreno cid (vocal)<\/li>\n<li>eduardo Godoy malvar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Angeles Garrido Berenguel En la presente memoria se estudia y desarrolla un modelo matem\u00e1tico para el tratamiento [&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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