{"id":6902,"date":"2022-10-14T18:50:31","date_gmt":"2022-10-14T16:50:31","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=6902"},"modified":"2023-10-16T20:29:34","modified_gmt":"2023-10-16T18:29:34","slug":"combinatorics-of-hopping-particles-and-positivity-in-markov-chains","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/combinatorics-of-hopping-particles-and-positivity-in-markov-chains\/","title":{"rendered":"Combinatorics of hopping particles and positivity in Markov chains &ndash; Lauren K. Williams (Harvard University, USA)"},"content":{"rendered":"\n<p>The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be defined as a Markov chain describing particles hopping on a one-dimensional lattice. I will give an overview of some of the connections of the stationary distribution of the ASEP to combinatorics and special functions. I will also mention some open problems and observations about positivity in Markov chains.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Poster<\/h4>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/www.dm.unipi.it\/wp-content\/uploads\/2022\/11\/Colloquium_Williams.pdf\" type=\"application\/pdf\" style=\"width:100%;height:1041px\" aria-label=\"Embed of Colloquium_Williams.\"><\/object><a id=\"wp-block-file--media-5f9030cd-04da-49e9-be61-43d7d9a5d062\" href=\"https:\/\/www.dm.unipi.it\/wp-content\/uploads\/2022\/11\/Colloquium_Williams.pdf\">Colloquium_Williams<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/combinatorics-of-hopping-particles-and-positivity-in-markov-chains\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-6902","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1670256000,"unipievents_enddate":1670259600,"unipievents_place":"Department of Mathematics, Aula Magna","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6902","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":15,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6902\/revisions"}],"predecessor-version":[{"id":10195,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/6902\/revisions\/10195"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=6902"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=6902"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=6902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}