{"id":10784,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1996\/01\/01\/funciones-aleatorias-regularidad-en-media-y-regularidad-de-las-trayectorias\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"funciones-aleatorias-regularidad-en-media-y-regularidad-de-las-trayectorias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/funciones-aleatorias-regularidad-en-media-y-regularidad-de-las-trayectorias\/","title":{"rendered":"Funciones aleatorias: regularidad en media y regularidad de las trayectorias."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Fernando Martinez Alvarez <\/strong><\/h2>\n<p>Este trabajo se enmarca dentro del analisis estocastico en el cual las funciones aleatorias constituyen un elemento totalmente basico. En esta memoria se analizan como determinadas condiciones de regularidad en media (continuidad, integrabilidad, derivabilidad, holomorfia) de las funciones aleatorias de primer orden se transfieren a las trayectorias y viceversa. Se ha comprobado que la holomorfia en media se transmite satisfactoriamente a las trayectorias de alguna version.  en cuanto al reciproco, para funciones aleatorias complejas, la holomorfia de las trayectorias junto con adecuadas condiciones de integrabilidad, medibilidad o continuidad garantiza la holomorfia en media. En cuanto a la derivabilidad en sentidoreal la relacion existente entre derivabilidad en media y la derivabilidad de las trayectorias de alguna de sus versiones es un poco mas imperfecta, aunque a pesar de ello se consigue probar que se produce una transferencia de la regularidad perdiendose un grado de regularidad en esta transmision.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Funciones aleatorias: regularidad en media y regularidad de las trayectorias.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Funciones aleatorias: regularidad en media y regularidad de las trayectorias. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Fernando Martinez Alvarez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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> Villena Mu\u00f1oz Armando Reyes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Elias Moreno Bas <\/li>\n<li>David Nualart Rodon (vocal)<\/li>\n<li>Gabriella Salinetti (vocal)<\/li>\n<li>Antonio Cuevas Gonz\u00e1lez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Fernando Martinez Alvarez Este trabajo se enmarca dentro del analisis estocastico en el cual las funciones aleatorias [&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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