{"id":674,"date":"2025-04-02T15:50:23","date_gmt":"2025-04-02T15:50:23","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/newmath2025\/?p=674"},"modified":"2025-09-04T15:44:51","modified_gmt":"2025-09-04T15:44:51","slug":"colloquium-talk-by-ronnie-pavlov-april-2-2025","status":"publish","type":"post","link":"https:\/\/as.vanderbilt.edu\/math\/2025\/04\/02\/colloquium-talk-by-ronnie-pavlov-april-2-2025\/","title":{"rendered":"Colloquium &#8211; Talk by Ronnie Pavlov: April 2, 2025"},"content":{"rendered":"<div class=\"eventitem\">\n<div class=\"entry-summary\">\n<p><span class=\"datetime\">April 2, 2025 (Wednesday), 4:10 pm<\/span><\/p>\n<p>Ronnie Pavlov, University of Denver<\/p>\n<p class=\"x_elementToProof\"><strong>Title: &#8220;Complexity in symbolic dynamical systems&#8221;<\/strong><\/p>\n<div class=\"x_elementToProof\">There are various ways in which one can describe\u00a0the<br \/>\nsimplicity\/complexity of a dynamical system. One is in terms of qualitative<br \/>\ndynamical properties, such as periodicity\/equicontinuity (simple) or<br \/>\nmixing\/independence (complex). For symbolically defined dynamical systems<br \/>\ncalled subshifts, there is a more quantitative measure called the word<br \/>\ncomplexity function, which counts the number of finite words appearing\u00a0in<br \/>\nthe system as a function of length. Naturally, there are relations between<br \/>\nthese notions, but the exact nature of some is quite surprising and<br \/>\nunexpected. I&#8217;ll cover some of these relationships, including the classical<br \/>\nMorse-Hedlund theorem and more\u00a0recent work of myself and Creutz. No prior<br \/>\nknowledge is required.<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>April 2, 2025 (Wednesday), 4:10 pm Ronnie Pavlov, University of Denver Title: &#8220;Complexity in symbolic dynamical systems&#8221; There are various ways in which one can describe\u00a0the simplicity\/complexity of a dynamical system. One is in terms of qualitative dynamical properties, such as periodicity\/equicontinuity (simple) or mixing\/independence (complex). For symbolically defined dynamical systems called subshifts, there is&#8230;<\/p>\n","protected":false},"author":74,"featured_media":754,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[7,6],"tags":[],"acf":[],"jetpack_featured_media_url":"https:\/\/as.vanderbilt.edu\/math\/wp-content\/uploads\/sites\/69\/2024\/08\/colloquium.png","_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/674"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/74"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=674"}],"version-history":[{"count":2,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/674\/revisions"}],"predecessor-version":[{"id":1012,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/674\/revisions\/1012"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/754"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/categories?post=674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}