{"id":10328,"date":"2023-10-26T10:50:34","date_gmt":"2023-10-26T08:50:34","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=10328"},"modified":"2023-10-29T13:19:51","modified_gmt":"2023-10-29T12:19:51","slug":"the-parabolic-density-problem","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/the-parabolic-density-problem\/","title":{"rendered":"The Parabolic Density Problem &ndash; Andrea Merlo (Universidad del Pais Vasco)"},"content":{"rendered":"\n<p>In this talk, I will present the solution to the density problem in parabolic spaces in codimension 1 for the Koranyi norm. In addition to discussing classical connected topics such as quantitative structural properties of uniform measures, we will provide a counterexample to the immersed version of Preiss&#8217;s rectifiability criterion in the parabolic plane for the box norm. Further, we will also show how certain square functions of the density imply the bilateral weak geometric lemma. <\/p>\n\n\n\n<p>Finally, we will prove that such square function estimates do not imply uniform parabolic rectifiability in a very strong sense. The measure exhibiting this behavior will be constructed using elementary Fourier techniques.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk, I will present the solution to the density problem in parabolic spaces in codimension 1 for the&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/the-parabolic-density-problem\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":55,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10328","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1698942600,"unipievents_enddate":1698946200,"unipievents_place":"aula riunioni","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\/10328","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\/55"}],"version-history":[{"count":2,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10328\/revisions"}],"predecessor-version":[{"id":10330,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10328\/revisions\/10330"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10328"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10328"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}