{"id":99777,"date":"2018-03-11T10:21:00","date_gmt":"2018-03-11T10:21:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/simulacion-y-analisis-estada%c2%adstico-del-efecto-microlente\/"},"modified":"2018-03-11T10:21:00","modified_gmt":"2018-03-11T10:21:00","slug":"simulacion-y-analisis-estada%c2%adstico-del-efecto-microlente","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/astronomia-y-astrofisica\/simulacion-y-analisis-estada%c2%adstico-del-efecto-microlente\/","title":{"rendered":"Simulaci\u00f3n y an\u00e1lisis estad\u00edstico del efecto microlente"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Teresa Mediavilla Gradolph <\/strong><\/h2>\n<p>El objetivo general de esta tesis doctoral es la simulaci\u00f3n y el estudio estad\u00edstico del efecto microlente gravitatoria. Una parte esencial en este estudio es el c\u00e1lculo de mapas de magnificaci\u00f3n. Hemos desarrollado un nuevo m\u00e9todo m\u00e1s eficiente y preciso para calcular mapas de magnificaci\u00f3n e identificar las c\u00e1usticas, el trazado inverso de pol\u00edgonos, ipm.  a partir de los mapas de magnificaci\u00f3n calculados y con el objeto de estudiar la distribuci\u00f3n de masas de las microlentes hemos planteado dos m\u00e9todos de an\u00e1lisis estad\u00edstico. Uno basado en la cuenta de cruces por c\u00e1ustica en una ventana de observaci\u00f3n para los datos simulados, los resultados obtenidos se comparan con la distribuci\u00f3n de probabilidad te\u00f3rica que tendr\u00edan los datos, en este caso la distribuci\u00f3n binomial. Y otro basado en las separaciones entre eventos en los datos simulados, que comparamos con la distribuci\u00f3n geom\u00e9trica. A partir de este an\u00e1lisis hemos observado que la abundancia y concentraci\u00f3n de c\u00e1usticas se ven afectadas por la funci\u00f3n de distribuci\u00f3n de masas de las microlentes, por la densidad de masa y por la distorsi\u00f3n (shear). la aplicaci\u00f3n de este an\u00e1lisis estad\u00edstico a un objeto real, el sistema conocido como la cruz de einstein, ha demostrado que observaciones en rayos x permitir\u00edan estudiar la distribuci\u00f3n de masas de las estrellas en la galaxia lente. con el objetivo de formalizar el ipm, hemos desarrollado un procedimiento exacto (en forma de expansi\u00f3n en serie) para el c\u00e1lculo de mapas de magnificaci\u00f3n asociados al efecto lente gravitatoria. El m\u00e9todo se basa en la transformaci\u00f3n inversa bajo la acci\u00f3n de la ecuaci\u00f3n de la lente de una partici\u00f3n del plano imagen que no incluya puntos cr\u00edticos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Simulaci\u00f3n y an\u00e1lisis estad\u00edstico del efecto microlente<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Simulaci\u00f3n y an\u00e1lisis estad\u00edstico del efecto microlente <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Teresa Mediavilla Gradolph <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 C\u00e1diz<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/03\/2010<\/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>Evencio Mediavilla Gradolph<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: eduardo Battaner l\u00f3pez <\/li>\n<li>c\u00e9sar Luis Mart\u00ednez estalayo (vocal)<\/li>\n<li>ram\u00f3n Carre\u00f1o carre\u00f1o (vocal)<\/li>\n<li>alejandro Oscoz abad (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Teresa Mediavilla Gradolph El objetivo general de esta tesis doctoral es la simulaci\u00f3n y el estudio estad\u00edstico [&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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