{"id":292,"date":"2023-06-08T12:27:51","date_gmt":"2023-06-08T19:27:51","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/jason-fulman\/?page_id=292"},"modified":"2023-06-08T12:27:52","modified_gmt":"2023-06-08T19:27:52","slug":"jeffrey-kuan-columbia-university-2","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/","title":{"rendered":"Jeffrey Kuan, Columbia University"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p><center><\/p>\n<p style=\"text-align: left;\" align=\"CENTER\">Title: Algebraic constructions of Markov duality and its applications<\/p>\n<p><\/center>Abstract: Markov duality in spin chains and exclusion processes has found a wide variety of applications throughout probability theory. We review the duality of the asymmetric simple exclusion process (ASEP) and its underlying algebraic symmetry. We then explain how the algebraic structure leads to a wide generalization of models with duality, such as higher spin exclusion processes, zero range processes, stochastic vertex models, and their multi-species analogues.<\/p>\n<p>We further survey the spectral \/ Plancherel theory of these models, as well as its applications involving Markov duality.<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-292","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jeffrey Kuan, Columbia University - Jason Fulman<\/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:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jeffrey Kuan, Columbia University - Jason Fulman\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Jason Fulman\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-08T19:27:52+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/\",\"url\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/\",\"name\":\"Jeffrey Kuan, Columbia University - Jason Fulman\",\"isPartOf\":{\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/#website\"},\"datePublished\":\"2023-06-08T19:27:51+00:00\",\"dateModified\":\"2023-06-08T19:27:52+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/jeffrey-kuan-columbia-university-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jeffrey Kuan, Columbia University\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/#website\",\"url\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/\",\"name\":\"Jason Fulman\",\"description\":\"USC Dornsife Jason Fulman\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Jeffrey Kuan, Columbia University - 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