{"id":1905,"date":"2025-09-25T04:00:32","date_gmt":"2025-09-25T04:00:32","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=1905"},"modified":"2025-09-25T04:00:32","modified_gmt":"2025-09-25T04:00:32","slug":"andrea-nahmod-umass-amherst","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2025\/09\/25\/andrea-nahmod-umass-amherst\/","title":{"rendered":"Andrea Nahmod (UMass Amherst)"},"content":{"rendered":"<p>The APDE seminar on Monday,\u00a0<span data-sheets-root=\"1\">9\/29<\/span>, will be given by Andrea Nahmod (UMass Amherst) in-person in <strong>Evans 736,<\/strong>\u00a0and will also be broadcasted online via Zoom from\u00a0<strong>4:10pm to 5:00pm PDT<\/strong>. To participate, please email Adam Black (adamblack<span id=\"eeb-322338-403021\"><span id=\"eeb-843318-171438\"><span id=\"eeb-203570-882396\"><span id=\"eeb-990440-551518\"><span id=\"eeb-688663-335757\"><span id=\"eeb-951702-73120\"><span id=\"eeb-183542-482341\"><span id=\"eeb-725178-862757\"><span id=\"eeb-367675-784580\">@berkeley.edu<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/p>\n<p><strong>Title<\/strong>: Probabilistic scaling, propagation of randomness and invariant Gibbs measures<\/p>\n<p><strong>Abstract: <\/strong>In this talk, we will start by describing how classical tools from probability<br \/>\noffer a robust framework to understand the dynamics of waves via appropriate ensembles<br \/>\non phase space rather than particular microscopic dynamical trajectories. We will continue<br \/>\nby explaining the fundamental shift in paradigm that arises from the \u201ccorrect\u201d scaling in this<br \/>\ncontext and how it opened the door to unveil the random structures of nonlinear waves that<br \/>\nlive on high frequencies and fine scales as they propagate. We will then discuss how these<br \/>\nideas broke the logjam in the study of the Gibbs measures associated to nonlinear<br \/>\nSchr\u00f6dinger equations in the context of equilibrium statistical mechanics and of the<br \/>\nhyperbolic Phi^4_3\u00a0model in the context of constructive quantum field theory.<br \/>\nWe will end with some open challenges about the long-time propagation of randomness<br \/>\nand out-of-equilibrium dynamics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday,\u00a09\/29, will be given by Andrea Nahmod (UMass Amherst) in-person in Evans 736,\u00a0and will also be broadcasted online via Zoom from\u00a04:10pm to 5:00pm PDT. To participate, please email Adam Black (adamblack@berkeley.edu). Title: Probabilistic scaling, propagation of randomness and invariant Gibbs measures Abstract: In this talk, we will start by describing how [&hellip;]<\/p>\n","protected":false},"author":119,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1905","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1905","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/119"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1905"}],"version-history":[{"count":2,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1905\/revisions"}],"predecessor-version":[{"id":1907,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1905\/revisions\/1907"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}