{"id":469,"date":"2018-02-25T20:48:29","date_gmt":"2018-02-25T20:48:29","guid":{"rendered":"http:\/\/pages.charlotte.edu\/colloquium\/?p=469"},"modified":"2018-03-18T01:02:43","modified_gmt":"2018-03-18T01:02:43","slug":"wednesday-march-21-325pm-conference-room","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2018\/02\/25\/wednesday-march-21-325pm-conference-room\/","title":{"rendered":"Wednesday, March 21, 3:25PM, Conference room"},"content":{"rendered":"<table width=\"637\">\n<tbody>\n<tr>\n<td>Professor: <a href=\"https:\/\/www.math.umd.edu\/~koralov\/\">Leonid Koralov<\/a>, Department of Mathematics, University of Maryland<\/td>\n<\/tr>\n<tr>\n<td>Title: \u00a0Large Time Behavior of Randomly Perturbed Dynamical Systems<a name=\"m_-6758539435527812225_OLE_LINK4\"><\/a><\/td>\n<\/tr>\n<tr>\n<td>\u00a0Abstract: \u00a0<span style=\"font-size: inherit\">We will discuss several asymptotic problems for randomly perturbed flows<\/span><\/p>\n<div>(and related problems for\u00a0 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<\/div>\n<div>non-standard boundary conditions. The same boundary value problems appear as a limiting object when studying the<\/div>\n<div>asymptotic behavior of diffusion processes with pockets of large diffusivity.<\/div>\n<div><\/div>\n<div>\u00a0We will also discuss how large-deviation techniques can be used<\/div>\n<div>to study the asymptotic behavior of solutions to quasi-linear parabolic equations with a small parameter at the<\/div>\n<div>second order term and the long time behavior of the corresponding diffusion processes.<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Professor: Leonid Koralov, Department of Mathematics, University of Maryland Title: \u00a0Large Time Behavior of Randomly Perturbed Dynamical Systems \u00a0Abstract: \u00a0We will discuss several asymptotic problems for randomly perturbed flows (and related problems for\u00a0 Markov chains with rare transitions). One class of flows (with regions where a strong flow creates a trapping mechanism) leads to a [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-469","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-7z","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=469"}],"version-history":[{"count":2,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/469\/revisions"}],"predecessor-version":[{"id":475,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/469\/revisions\/475"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}