{"id":365,"date":"2024-10-14T17:57:23","date_gmt":"2024-10-14T20:57:23","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/?page_id=365"},"modified":"2024-11-22T01:35:23","modified_gmt":"2024-11-22T04:35:23","slug":"grafos","status":"publish","type":"page","link":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/grafos\/","title":{"rendered":"Introducci\u00f3n a la Teor\u00eda L\u00edmite de Grafos"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-291\" src=\"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-content\/uploads\/sites\/206\/2024\/10\/grafito-1-300x151.png\" alt=\"\" width=\"866\" height=\"436\" srcset=\"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-content\/uploads\/sites\/206\/2024\/10\/grafito-1-300x151.png 300w, https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-content\/uploads\/sites\/206\/2024\/10\/grafito-1-1024x517.png 1024w, https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-content\/uploads\/sites\/206\/2024\/10\/grafito-1-768x388.png 768w, https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-content\/uploads\/sites\/206\/2024\/10\/grafito-1.png 1280w\" sizes=\"auto, (max-width: 866px) 100vw, 866px\" \/><\/p>\n<h3><strong>Profesor:<\/strong> <a href=\"https:\/\/eventos.cmm.uchile.cl\/enim2024\/profesores\/#matias\">Mat\u00edas Pavez<\/a><\/h3>\n<h3><strong>[Bloque A]<\/strong> 3 sesiones, cada d\u00eda de las 12h15 a las 13h30<\/h3>\n<p>Supongamos que \\(G_1, G_2, \u2026, G_n, \u2026\\) es una sucesi\u00f3n de grafos finitos donde el n\u00famero de v\u00e9rtices de \\(G_n\\) tiende a infinito cuando n \u2192 \u221e<\/p>\n<p>\u00bfEs posible definir una noci\u00f3n de convergencia que tenga sentido combinatorial?<br \/>\nEn este cursillo intentaremos responder esta pregunta explorando la teor\u00eda de grafos l\u00edmites desarollada durante la d\u00e9cada del 2000 por el matem\u00e1tico h\u00fangaro L\u00e1szl\u00f3 Lov\u00e1sz y sus colaboradores. Esta \u00e1rea presenta una profunda interacci\u00f3n entre diversas \u00e1reas de la matem\u00e1tica, incluyendo el an\u00e1lisis real y funcional, teor\u00eda de probabilidades, y matem\u00e1ticas discretas, y permite, entre otras cosas, estudiar problemas combinatoriales finitos desde un punto de vista p\u00faramente anal\u00edtico.<\/p>\n<h5><strong>Prerrequisitos sugeridos:<\/strong> An\u00e1lisis Real, Probabilidades, Teor\u00eda de Grafos.<\/h5>\n","protected":false},"excerpt":{"rendered":"<p>Profesor: Mat\u00edas Pavez [Bloque A] 3 sesiones, cada d\u00eda de las 12h15 a las 13h30 Supongamos que es una sucesi\u00f3n de grafos finitos donde el n\u00famero de v\u00e9rtices de tiende a infinito cuando n \u2192 \u221e \u00bfEs posible definir una noci\u00f3n de convergencia que tenga sentido combinatorial? En este cursillo intentaremos responder esta pregunta explorando &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/enim2024\/grafos\/\" class=\"more-link\">Contin\u00fae leyendo <span class=\"screen-reader-text\">Introducci\u00f3n a la Teor\u00eda L\u00edmite de Grafos<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":120,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-365","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/pages\/365","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/users\/120"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/comments?post=365"}],"version-history":[{"count":5,"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/pages\/365\/revisions"}],"predecessor-version":[{"id":645,"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/pages\/365\/revisions\/645"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/enim2024\/wp-json\/wp\/v2\/media?parent=365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}