{"id":368,"date":"2018-03-17T01:50:59","date_gmt":"2018-03-17T01:50:59","guid":{"rendered":"http:\/\/pages.charlotte.edu\/probability-seminar\/?p=368"},"modified":"2018-03-17T01:52:24","modified_gmt":"2018-03-17T01:52:24","slug":"wed-march-21-2018-at-325pm-in-fretwell-379-math-conference-room","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/probability-seminar\/blog\/2018\/03\/17\/wed-march-21-2018-at-325pm-in-fretwell-379-math-conference-room\/","title":{"rendered":"Wed March 21, 2018 at 3:25PM in Fretwell 379 (Math Conference Room)"},"content":{"rendered":"<p><a href=\"https:\/\/www.math.umd.edu\/~koralov\/\">Leonid Koralov<\/a>, University of Maryland College Park<\/p>\n<p><i>Title: <\/i><span class=\"m_-7253915242511170420gmail-m_-2051454453909663613gmail-\"><span class=\"m_-7253915242511170420gmail-m_-2051454453909663613gmail-m_9055837596722250019gmail-\">Large Time Behavior of Randomly Perturbed Dynamical Systems<br \/>\n<\/span><\/span><\/p>\n<p><em>Abstract: <\/em>We will discuss several asymptotic problems for randomly perturbed flows (and related problems for Markov chains with rare transitions). One class of flows (with regions where a strong flow creates a trapping mechanism) leads to a new class of elliptic and parabolic boundary value problems with non-standard boundary conditions. The same boundary value problems appear as a limiting object when studying the asymptotic behavior of diffusion processes with pockets of large diffusivity.<\/p>\n<p>We will also discuss how large-deviation techniques can be used to study the asymptotic behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding diffusion processes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Leonid Koralov, University of Maryland College Park Title: Large Time Behavior of Randomly Perturbed Dynamical Systems Abstract: We will discuss several asymptotic problems for randomly perturbed flows (and related problems for Markov chains with rare transitions). One class of flows (with regions where a strong flow creates a trapping mechanism) leads to a new class [&hellip;]<\/p>\n","protected":false},"author":16,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-368","post","type-post","status-publish","format-standard","hentry","category-probability_seminar"],"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/comments?post=368"}],"version-history":[{"count":3,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/368\/revisions"}],"predecessor-version":[{"id":371,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/368\/revisions\/371"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/media?parent=368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/categories?post=368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/tags?post=368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}