Organizers of this minisymposium are<\/p>\n
The interplay between probability and nonlinear dispersive PDEs has become a highly active and rapidly evolving area. This minisymposium focuses on the rigorous study of wave propagation in the presence of randomness, exploring dynamics driven either by stochastic forcing or rough random initial data. Organizers of this minisymposium are Martin Spitz (Bielefeld, Germany) Deng Zhang (Shanghai, China) The interplay between probability and nonlinear dispersive PDEs has become a highly active and rapidly evolving area. This minisymposium focuses on the rigorous study of wave propagation in the presence of randomness, exploring dynamics driven either by stochastic forcing or rough random […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":92,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-170","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=170"}],"version-history":[{"count":1,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/170\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/170\/revisions\/171"}],"up":[{"embeddable":true,"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=\/wp\/v2\/pages\/92"}],"wp:attachment":[{"href":"https:\/\/conference27.waves.kit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nDriven by the synthesis of harmonic analysis, probability theory, and PDE techniques, the field has seen significant advances in recent years. Key progress includes the construction and invariance of Gibbs measures in several settings, the discovery of regularization-by-noise phenomena, and a much better understanding of the interaction of dispersive effects with irregular stochastic forcing \u2013 particularly in the context of stochastic nonlinear Schr\u00f6dinger, wave, and related equations.
\nThis minisymposium will bring together experts working across the spectrum of dispersive SPDEs and the Gibbs measure problem. Significant advances and state-of-the-art methodologies will be presented, highlighting shared ideas and analytical challenges. By bridging the closely related but distinct perspectives of random initial data and stochastic forcing, the minisymposium aims to foster new collaborative pathways to tackle the field\u2019s most pressing open problems.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"