{"id":86294,"date":"2000-11-09T00:00:00","date_gmt":"2000-11-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/new-results-on-entropy-sequence-entropy-and-related-topics\/"},"modified":"2000-11-09T00:00:00","modified_gmt":"2000-11-09T00:00:00","slug":"new-results-on-entropy-sequence-entropy-and-related-topics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/new-results-on-entropy-sequence-entropy-and-related-topics\/","title":{"rendered":"New results on entropy, sequence entropy and related topics"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Salvador Canovas Pe\u00f1a <\/strong><\/h2>\n<p>En esta tesis se hace un profundo estudio de las nociones de entropia y entropia secuencial en los contextos de funciones continuas definidas sobre espacios m\u00e9tricos compactos y funciones que conservan una medida probabilistica.  en primer lugar se introducen algunas invariantes no aut\u00f3nomos, a fin de hacer otra que el concepto de entropia secuncial es un invariante no aut\u00f3nomo. conectando con esta idea, se muestran una serie de f\u00f3rmulas v\u00e1lidas para la entropia que no lo son para la entropia secuencial.  a continuaci\u00f3n se estudian f\u00f3rmulas de conmutatividad para la entropia y la entropia secuencial, que son extendibles a otros ivariantes m\u00e9tricos y topologicos, como son la entropia topologica condicional, la presi\u00f3n topol\u00f3gica, etcetera.  posteriormente aplicamos las f\u00f3rmulas de conmutatividad al estudio de un modelo econ\u00f3mico llamado duopolio de cournot. Este es modelizado por una funci\u00f3n bidimensional que depende poderosamente de la composici\u00f3n de funciones unidimensionales. Estudamos adem\u00e1s la noci\u00f3n de caos en el sentido de li-yorke para este modelo.  el \u00faltimo capitulo de la memoria est\u00e1 dedicado al c\u00e1lculo de la entrop\u00eda topologica secuencial para  una clase de funciones continuas del intervalo llamadas debilmente unimodales. Del c\u00e1lculo de la misma se obtienen los siguientes resultados:una caracterizaci\u00f3n del caos en el sentido de li-yorke para este tipo de funciones: un contraejemplo para una conjetura de franzova y smital. Las tecnicas desarrolladas para el calculo son las de mayor complejidad de la memoria.  finalmente, la memoria concluye con tres ap\u00e9ndices en los cuales se encuentran contrajemplos para algunas cuestiones relacionadas con la entrop\u00eda topol\u00f3gica secuencial y el caos en el sentido de li-yorke. Asi, encontramos un contraejemplo para la f\u00f3rmula de conmutatividad de la entrop\u00eda topologica secuencial, un contraejemplo para la entrop\u00eda topologica secuencial y el caos en el sentido de<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>New results on entropy, sequence entropy and related topics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 New results on entropy, sequence entropy and related topics <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Salvador Canovas Pe\u00f1a <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/09\/2000<\/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 Balibrea Gallego<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Vigueraas campuzano <\/li>\n<li>lLuis Alseda soler (vocal)<\/li>\n<li>peter Walters (vocal)<\/li>\n<li> Mumbru i rodriguez pere (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Salvador Canovas Pe\u00f1a En esta tesis se hace un profundo estudio de las nociones de entropia [&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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