{"id":8559,"date":"2023-03-27T18:03:13","date_gmt":"2023-03-27T16:03:13","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-klaudiusz-czudek-ist-austria\/"},"modified":"2023-04-18T08:25:34","modified_gmt":"2023-04-18T06:25:34","slug":"tba-klaudiusz-czudek-ist-austria","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-klaudiusz-czudek-ist-austria\/","title":{"rendered":"Mixing of simple symmetric random walks on the circle &#8211; Klaudiusz Czudek (IST, Austria)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>CRM SNS.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>Fix an irrational number $\\alpha$ and a smooth, positive, real function $p$ on the circle. A particle at a point $x$ in the circle jumps to $x+\\alpha$ with probability $p(x)$ or to $x\u2212\\alpha$ with probability $1\u2212p(x)$. In 1999 Sinai investigated ergodic properties of this Markov process for Diophantine $\\alpha$. Throughout the talk I would like to present what I know about mixing properties when $\\alpha$ is Liouville.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/179\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fix an irrational number $\\alpha$ and a smooth, positive, real function $p$ on the circle. A particle at a point $x$ in the circle jumps to $x+\\alpha$ with probability $p(x)$ or to $x\u2212\\alpha$ with probability $1\u2212p(x)$. In 1999 Sinai investigated&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-klaudiusz-czudek-ist-austria\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8559","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1682524800,"unipievents_enddate":1682528400,"unipievents_place":"CRM SNS.","unipievents_externalid":179,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8559","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\/8559\/revisions"}],"predecessor-version":[{"id":8751,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8559\/revisions\/8751"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8559"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8559"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}