{"id":14460,"date":"2024-09-03T08:22:55","date_gmt":"2024-09-03T13:22:55","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&#038;p=14460"},"modified":"2024-09-03T08:23:40","modified_gmt":"2024-09-03T13:23:40","slug":"graduate-student-colloquium-melissa-beerbower","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-melissa-beerbower\/","title":{"rendered":"Graduate Student Colloquium: Melissa Beerbower"},"content":{"rendered":"<h1>On the Lucky Sets of Fubini Rankings<\/h1>\n<p>Melissa Beerbower<br \/>\nLoyola University Chicago<\/p>\n<p>Recall that Fubini rankings of length n are rankings of n competitors allowing for ties. We can say that the number of rankings, k, with k less than or equal to n, is equal to the number of lucky competitors. A lucky competitor is the first to attain its rank. We enumerate Fubini rankings recursively through fixed sets of lucky competitors. Also recall that unit Fubini rankings are Fubini rankings with at most two competitors for each rank. We enumerate unit Fubini rankings through fixed lucky sets. Our enumerations explain twin coefficients for minimum powers in the lucky polynomial of ell-interval Fubini rankings.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On the Lucky Sets of Fubini Rankings Melissa Beerbower Loyola University Chicago Recall that Fubini rankings of length n are rankings of n competitors allowing for ties. We can say that the number of rankings, k, with k less than &hellip;<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[70],"class_list":["post-14460","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-melissa-beerbower\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Melissa Beerbower\" \/>\n<meta property=\"og:description\" content=\"On the Lucky Sets of Fubini Rankings Melissa Beerbower Loyola University Chicago Recall that Fubini rankings of length n are rankings of n competitors allowing for ties. 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