{"id":20214,"date":"2018-03-09T09:09:28","date_gmt":"2018-03-09T09:09:28","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/procesos-de-ramificacion-bisexuales-de-galton-watson-en-ambiente-variable\/"},"modified":"2018-03-09T09:09:28","modified_gmt":"2018-03-09T09:09:28","slug":"procesos-de-ramificacion-bisexuales-de-galton-watson-en-ambiente-variable","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/procesos-de-ramificacion-bisexuales-de-galton-watson-en-ambiente-variable\/","title":{"rendered":"Procesos de ramificaci\u00f3n bisexuales de galton-watson en ambiente variable"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alfonso Ramos Cantari\u00f1o <\/strong><\/h2>\n<p>Esta tesis doctoral est\u00e1 encuadrada dentro de la teor\u00eda general sobre procesos de ramificiaci\u00f3n de galton-watson, centr\u00e1ndose en la familia de procesos de galton-watson bisexuales. En concreto, se han realizado aportaciones a la teor\u00eda probabil\u00edstica de dos nuevos modelos de galton-watson bisexuales, a saber, proceso de galton-watson bisexual con apareamiento dependiente del tama\u00f1o de la poblaci\u00f3n y el proceso galton-watson bisexual en ambiente variable. Est\u00e1 estructurada en tres cap\u00edtulos, unas conclusiones y algunas cuestiones para futura investigaci\u00f3n.  en el cap\u00edtulo 1, de car\u00e1cter introductorio, se proporciona una visi\u00f3n general sobre los modelos de ramificaci\u00f3n que constituyen la clase de los procesos de galton-watson bisexuales y los principales problemas que sobre ellos se han investigado hasta el presente momento.  los cap\u00edtulos 2 y 3, introducimos el modelo bisexual con apareamiento dependiente del tama\u00f1o de la poblaci\u00f3n. Tras proceder a su descripci\u00f3n probabil\u00edstica, comprobamos que es una cadena de markov con probabilidades de transici\u00f3n estacionarias, determinamos una serie de relaciones entre las funciones generatrices de probabilidad asociadas a las variables aleatorias que intervienen en el modelo y, apoy\u00e1ndonos en tales relaciones, obtenemos los principales momentos del proceso. En un siguiente paso, proporcionamos condiciones bajo las cuales se produce la extinci\u00f3n del proceso con probabilidad 1 y condicones que nos garantizan su no extinci\u00f3n con probabilidad positiva y, bajo situaci\u00f3n de no extinci\u00f3n, estudiamos resultados relativos a la convergencia casi segura, en $l^1$ y en $l^2$, del proceso, convenientemente normalizado, hacia cierta variable aleatoria l\u00edmite finita y no degenerada en cero. Finalmente, obtenemos algunos resultados relativos a su progenie acumulada hasta cierta generaci\u00f3n.  en el cap\u00edtulo 3, introducimos nuestro segundo modelo, el denominado modelo bisexual en ambiente<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Procesos de ramificaci\u00f3n bisexuales de galton-watson en ambiente variable<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Procesos de ramificaci\u00f3n bisexuales de galton-watson en ambiente variable <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alfonso Ramos Cantari\u00f1o <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Extremadura<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/11\/2002<\/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 Molina Fern\u00e1ndez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco jose Cano sevilla <\/li>\n<li>m. asuncion Rubio rubio (vocal)<\/li>\n<li>mihaylow Ianev nikolay (vocal)<\/li>\n<li>Jorge Ollero hinojosa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alfonso Ramos Cantari\u00f1o Esta tesis doctoral est\u00e1 encuadrada dentro de la teor\u00eda general sobre procesos de ramificiaci\u00f3n [&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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