{"id":445,"date":"2013-10-25T13:50:27","date_gmt":"2013-10-25T17:50:27","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=445"},"modified":"2026-03-19T08:10:29","modified_gmt":"2026-03-19T12:10:29","slug":"reimann","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/reimann\/","title":{"rendered":"Jan Reimann"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Jan Reimann<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Title:<\/h3>\n\n\n\n<p>Effective multifractal spectra<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Abstract:<\/h3>\n\n\n\n<p>Multifractal measures play an important role in the study of point processes and strange attractors. A central component of the theory is the multifractal formalism, which connects local properties of a measure (pointwise dimensions) with its global properties (average scaling behavior).<\/p>\n\n\n\n\n\n<p>In this talk I will introduce a new, effective multifractal spectrum, where we replace pointwise dimension by asymptotic compression ratio. It turns out that the underlying measure can be seen as a universal object for the category of computable measures. The multifractal spectrum of computable measure can be expressed as a &#8220;deficiency of multifractality&#8221; spectrum with respect to the universal measure.<\/p>\n\n\n\n\n\n<p>This in turn allows for developing a quantitative theory of dimension estimators based on data compression. I will present some applications to seismological dynamics.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-445","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/445","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=445"}],"version-history":[{"count":3,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/445\/revisions"}],"predecessor-version":[{"id":4063,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/445\/revisions\/4063"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}