{"id":9899,"date":"2023-09-13T11:47:51","date_gmt":"2023-09-13T09:47:51","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=9899"},"modified":"2023-09-13T11:47:55","modified_gmt":"2023-09-13T09:47:55","slug":"sharp-asymptotics-for-the-allen-cahn-equation-in-the-limit-of-small-noise-and-large-volume","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/sharp-asymptotics-for-the-allen-cahn-equation-in-the-limit-of-small-noise-and-large-volume\/","title":{"rendered":"Sharp asymptotics for the Allen-Cahn equation in the limit of small noise and large volume &ndash; Giacomo di Ges\u00f9 (Roma La Sapienza)"},"content":{"rendered":"\n<p><em>We consider the Allen-Cahn equation on a finite interval perturbed by space-time white noise. Keeping the size of the spatial domain fixed, the dynamics becomes metastable in the limit of vanishing noise. I will review some sharp metastability estimates in this regime and discuss how the invariant measure and long-time behavior is affected if one allows the system size to grow while the noise vanishes (joint work with L. Bertini and P. Butt\u00e0).<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider the Allen-Cahn equation on a finite interval perturbed by space-time white noise. Keeping the size of the spatial&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/sharp-asymptotics-for-the-allen-cahn-equation-in-the-limit-of-small-noise-and-large-volume\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":189,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-9899","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1695135600,"unipievents_enddate":1695139200,"unipievents_place":"Aula Seminari","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9899","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/189"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9899\/revisions"}],"predecessor-version":[{"id":9901,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/9899\/revisions\/9901"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=9899"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=9899"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=9899"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}