{"id":16948,"date":"2022-03-17T12:37:41","date_gmt":"2022-03-17T09:37:41","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=16948"},"modified":"2022-03-22T09:48:25","modified_gmt":"2022-03-22T06:48:25","slug":"math-seminar-cycles-of-mallows-permutations-jimmy-he-massachusetts-institute-of-technology-600pm-march-17-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-cycles-of-mallows-permutations-jimmy-he-massachusetts-institute-of-technology-600pm-march-17-en\/","title":{"rendered":"MATH Seminar: \u201cCycles of Mallows permutations\u201d, Jimmy He, Massachusetts Institute of Technology, 6:00PM March 17 (EN)"},"content":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: Jimmy He (Massachusetts Institute of Technology)<br \/>\n\u201cCycles of Mallows permutations\u201d<\/p>\n<p>Abstract: The Mallows distribution of parameter q is a family of distributions on the symmetric group generalizing the uniform distribution. Under the uniform distribution when q=1, the cycles of a random permutation are known to be approximately Poisson. I will discuss recent work on establishing Gaussian behavior for the cycle structure of these permutations when q is not 1. The regime q1 follows from known techniques, but the regime q&gt;1 requires some new ideas. The proof uses the stationary Mallows process, an infinite stationary version of the Mallows permutation introduced by Gnedin and Olshanski.<\/p>\n<p>Date: Thursday, March 17, 2022<br \/>\nTime: 18:00-19:00, GMT+3.<\/p>\n<p>This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Jimmy He (Massachusetts Institute of Technology) \u201cCycles of Mallows permutations\u201d Abstract: The Mallows distribution of parameter q is a family of distributions on the symmetric group generalizing the uniform distribution. Under the uniform distribution when [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-cycles-of-mallows-permutations-jimmy-he-massachusetts-institute-of-technology-600pm-march-17-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-16948","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/16948","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=16948"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/16948\/revisions"}],"predecessor-version":[{"id":16949,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/16948\/revisions\/16949"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=16948"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=16948"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=16948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}