{"id":10252,"date":"2023-10-21T12:06:30","date_gmt":"2023-10-21T10:06:30","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/open-random-dynamics-and-return-time-statistics-jason-atnip-university-of-queensland\/"},"modified":"2023-10-21T12:06:30","modified_gmt":"2023-10-21T10:06:30","slug":"open-random-dynamics-and-return-time-statistics-jason-atnip-university-of-queensland","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/open-random-dynamics-and-return-time-statistics-jason-atnip-university-of-queensland\/","title":{"rendered":"Open random dynamics and return time statistics &#8211; Jason Atnip (University of Queensland)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>SNS &#8211; Centro De Giorgi.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p><strong>&nbsp;<\/strong>In this talk we discuss recent results concerning the return time statistics for deterministic and random dynamical systems.&nbsp;Taking a perturbative approach, we consider a decreasing sequence of holes in phase space which shrink to a point.&nbsp;For systems satisfying a spectral gap, we show that limiting distribution of return times to these shrinking holes is a compound Poisson distribution.&nbsp;We provide specific examples of classes of transformations for which the limiting distribution is Polya-Aeppli.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/223\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0In this talk we discuss recent results concerning the return time statistics for deterministic and random dynamical systems.\u00a0Taking a perturbative approach, we consider a decreasing sequence of holes in phase space which shrink to a point.\u00a0For&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/open-random-dynamics-and-return-time-statistics-jason-atnip-university-of-queensland\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10252","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1697562000,"unipievents_enddate":1697565600,"unipievents_place":"SNS - Centro De Giorgi.","unipievents_externalid":223,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10252","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\/10252\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10252"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10252"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}