{"id":8400,"date":"2023-03-09T12:37:17","date_gmt":"2023-03-09T11:37:17","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-jamerson-bezerra-nicolaus-copernicus-university\/"},"modified":"2023-03-09T18:31:40","modified_gmt":"2023-03-09T17:31:40","slug":"tba-jamerson-bezerra-nicolaus-copernicus-university","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-jamerson-bezerra-nicolaus-copernicus-university\/","title":{"rendered":"Upper bound on the regularity of Lyapunov exponents of random product of matrices &#8211; Jamerson Bezerra (Nicolaus Copernicus University)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>CRM &#8211; SNS.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<div>The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contributions in the past years. It is well established in the literature that the function which associates each finite supported measure $\\mu$ its Lyapunov exponents $L(\\mu)$ is continuous, however, in general, it can have really poor modulus of continuity.<br \/>&nbsp;<\/div>\n<p>The purpose of this talk is to present a quantitative result on the control of the modulus of continuity for generic finitely supported measures $\\mu$. More specifically, we provide an explicit upper bound on the local Holder regularity of the Lyapunov for this generic class.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/171\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contributions in the past years. It is well established in the literature that the function which associates each finite&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-jamerson-bezerra-nicolaus-copernicus-university\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-8400","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1680105600,"unipievents_enddate":1680109200,"unipievents_place":"CRM - SNS.","unipievents_externalid":171,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8400","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\/8400\/revisions"}],"predecessor-version":[{"id":8408,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/8400\/revisions\/8408"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=8400"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=8400"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=8400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}