{"id":7134,"date":"2022-11-10T09:18:39","date_gmt":"2022-11-10T08:18:39","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/mixing-properties-of-erasing-interval-maps-alessandro-della-corte-universita-di-camerino\/"},"modified":"2022-11-10T09:21:40","modified_gmt":"2022-11-10T08:21:40","slug":"mixing-properties-of-erasing-interval-maps-alessandro-della-corte-universita-di-camerino","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/mixing-properties-of-erasing-interval-maps-alessandro-della-corte-universita-di-camerino\/","title":{"rendered":"Mixing properties of erasing interval maps &#8211; Alessandro Della Corte (Universit\u00e0 di Camerino)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Centro de Giorgi &#8211; SNS.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We study the measurable dynamical properties of the interval map&nbsp;<\/p>\n<p>generated by the model-case erasing substitution $\\rho$, defined by:&nbsp;<br \/>$ \\rho(00) = empty word$; $\\rho(01) = 1$; $\\rho(10) = 0$; $\\rho(11) = 01$.&nbsp;<br \/>We prove that, although the map is singular, its square preserves the&nbsp;<br \/>Lebesgue measure and is strongly mixing, thus ergodic, with respect to&nbsp;<br \/>it. We discuss the extension of the results to more general erasing maps.&nbsp;<br \/>KEYWORDS: Mixing; Substitutions; Combinatorics on Words.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/132\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We study the measurable dynamical properties of the interval map\u00a0generated by the model-case erasing substitution $\\rho$, defined by:\u00a0$ \\rho(00) = empty word$; $\\rho(01) = 1$; $\\rho(10) = 0$; $\\rho(11) = 01$.\u00a0We prove that, although the map is&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/mixing-properties-of-erasing-interval-maps-alessandro-della-corte-universita-di-camerino\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-7134","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1669820400,"unipievents_enddate":1669824000,"unipievents_place":"Centro de Giorgi - SNS.","unipievents_externalid":132,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7134","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\/7134\/revisions"}],"predecessor-version":[{"id":7135,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/7134\/revisions\/7135"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=7134"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=7134"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=7134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}