{"id":14096,"date":"2024-03-11T12:15:30","date_gmt":"2024-03-11T17:15:30","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=14096"},"modified":"2024-03-11T12:21:57","modified_gmt":"2024-03-11T17:21:57","slug":"graduate-student-colloquium-dorian-smith-2","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-dorian-smith-2\/","title":{"rendered":"Graduate Student Colloquium: Dorian Smith"},"content":{"rendered":"

\"\"<\/h1>\n

On the Lucky and Displacement Statistics of Stirling Permutations<\/h1>\n

Dorian Smith<\/a>
\nPhD Student<\/em>
\nUniversity of Minnesota Twin Cities<\/p>\n

Stirling permutations are parking functions. We investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we consider two extreme cases: extremely lucky Stirling permutations (those with maximally many lucky cars) and extremely unlucky Stirling permutations (those with exactly one lucky car). We show that the number of extremely lucky Stirling permutations of order n is the Catalan number, and the number of extremely unlucky Stirling permutations is (n\u22121)!.<\/p>\n

This is a joint work with Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder, Pamela E. Harris, Kimberly J.Harry, Selvi Kara, and Bridget Eileen Tenner.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

On the Lucky and Displacement Statistics of Stirling Permutations Dorian Smith PhD Student University of Minnesota Twin Cities Stirling permutations are parking functions. We investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among …<\/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-14096","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"yoast_head":"\nMathematical 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-dorian-smith-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Dorian Smith\" \/>\n<meta property=\"og:description\" content=\"On the Lucky and Displacement Statistics of Stirling Permutations Dorian Smith PhD Student University of Minnesota Twin Cities Stirling permutations are parking functions. We investigate two parking function statistics in the context of these objects: lucky cars and displacement. 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