{"id":8393,"date":"2023-03-08T13:19:10","date_gmt":"2023-03-08T12:19:10","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/renormalization-of-analytic-maps-of-the-annulus-and-applications-to-conjugacy-problems-michael-yampolsky\/"},"modified":"2023-03-08T13:22:17","modified_gmt":"2023-03-08T12:22:17","slug":"renormalization-of-analytic-maps-of-the-annulus-and-applications-to-conjugacy-problems-michael-yampolsky","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/renormalization-of-analytic-maps-of-the-annulus-and-applications-to-conjugacy-problems-michael-yampolsky\/","title":{"rendered":"Renormalization of analytic maps of the annulus and applications to conjugacy problems &#8211; Michael Yampolsky (Univ. of Toronto)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>CRM &#8211; SNS.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p><span><span>In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this operator has a hyperbolic horseshoe attractor consisting of Brjuno rotations. I will discuss the resulting renormalization picture and some consequences, including a new proof of Risler\u2019s theorem, and results on smoothness of Arnold tongues.<\/span><\/span><\/p>\n<div style=\"margin:2px 0px 0px;padding:10px 0px;width:22px\">&nbsp;<\/div>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/168\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this operator has a hyperbolic horseshoe attractor consisting of Brjuno rotations. I will&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/renormalization-of-analytic-maps-of-the-annulus-and-applications-to-conjugacy-problems-michael-yampolsky\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8393","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1678973400,"unipievents_enddate":1678980600,"unipievents_place":"CRM - SNS.","unipievents_externalid":168,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8393","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\/6"}],"version-history":[{"count":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8393\/revisions"}],"predecessor-version":[{"id":8394,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8393\/revisions\/8394"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8393"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8393"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8393"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}