{"id":4658,"date":"2022-05-04T10:05:37","date_gmt":"2022-05-04T08:05:37","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/piecewise-affine-homeomorphisms-of-the-circle-and-dilation-surfaces-selim-ghazouani-universite-dorsay-france\/"},"modified":"2022-05-04T10:05:37","modified_gmt":"2022-05-04T08:05:37","slug":"piecewise-affine-homeomorphisms-of-the-circle-and-dilation-surfaces-selim-ghazouani-universite-dorsay-france","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/piecewise-affine-homeomorphisms-of-the-circle-and-dilation-surfaces-selim-ghazouani-universite-dorsay-france\/","title":{"rendered":"Piecewise affine homeomorphisms of the circle and dilation surfaces &#8211; Selim Ghazouani (Universit\u00e9 d\u2019Orsay, France)"},"content":{"rendered":"<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk I will consider the following question: if one picks a piecewise affine map of the circle \u201cat random\u201d, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s; in this emblematic case the problem can be reduced to theorems close to KAM theory. For the piecewise affine case, we put forward a geometric approach, inspired by methods from both Teichm\u00fcller theory and hyperbolic geometry. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will consider the following question: if one picks a piecewise affine map of the circle \u201cat random\u201d, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s;&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/piecewise-affine-homeomorphisms-of-the-circle-and-dilation-surfaces-selim-ghazouani-universite-dorsay-france\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4658","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1620316800,"unipievents_enddate":1620320400,"unipievents_place":"","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\/4658","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":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4658\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4658"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4658"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}