{"id":33,"date":"2014-10-28T15:44:39","date_gmt":"2014-10-28T15:44:39","guid":{"rendered":"http:\/\/casfaculty.case.edu\/umut-caglar\/?page_id=33"},"modified":"2015-06-19T14:50:42","modified_gmt":"2015-06-19T14:50:42","slug":"publications","status":"publish","type":"page","link":"https:\/\/casfaculty.case.edu\/umut-caglar\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<ul>\n<li style=\"text-align: left\"><strong><a href=\"https:\/\/artscimedia.case.edu\/wp-content\/uploads\/sites\/114\/2014\/10\/15005338\/Caglar-Werner-revisedJan2014.pdf\">Divergence for s-concave and log concave functions<\/a><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Advances in Mathematics 257, pages: 219-247 (2014)<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Jointly with E. Werner<\/p>\n<ul>\n<li style=\"text-align: left\"><strong><a href=\"https:\/\/artscimedia.case.edu\/wp-content\/uploads\/sites\/114\/2014\/10\/15005337\/Mixed-f-divergences-revised-July30.pdf\">Mixed f-divergence and inequalities for log concave functions<\/a><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0Proceedings of the London Mathematical Society (2014); \u00a0doi: 10.1112\/plms\/pdu055<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Jointly with E. Werner<\/p>\n<ul>\n<li style=\"text-align: left\"><strong><strong><a href=\"http:\/\/imrn.oxfordjournals.org\/content\/early\/2015\/06\/18\/imrn.rnv151.abstract?keytype=ref&amp;ijkey=VrpdZYlEeBncTnl\">Functional version of L_p-affine surface area and entropy inequalities<\/a><\/strong><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 International Mathematics Research Notices 2015; \u00a0doi: 10.1093\/imrn\/rnv151<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Jointly with M. Fradelizi, O. Guedon, J. Lehec, C. Schuett and E. Werner<\/p>\n<ul>\n<li><a href=\"http:\/\/arxiv.org\/pdf\/1506.02974v1.pdf\"><strong>Orlicz affine isoperimetric inequalities for functions<\/strong> <\/a>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0Submitted. arXiv:1506.0297<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0Jointly with D. Ye<\/p>\n<\/li>\n<\/ul>\n<ul>\n<li><a title=\"Divergence And Entropy Inequalities For Log Concave Functions\" href=\"https:\/\/etd.ohiolink.edu\/!etd.send_file?accession=case1400598757&amp;disposition=inline\">Divergence and entropy inequalities for log concave function<\/a>s, Ph.D. Thesis, August 2014<\/li>\n<\/ul>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Advisers: Elisabeth M. Werner and Stanislaw J. Szarek<\/p>\n<ul>\n<li><a title=\"Floating Bodies\" href=\"https:\/\/etd.ohiolink.edu\/!etd.send_file?accession=case1274467259&amp;disposition=inline\">Floating Bodies<\/a>, M.S. Thesis, August 2010 \u00a0Adviser: Elisabeth M. Werner<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\t<strong><a href=\"https:\/\/artscimedia.case.edu\/wp-content\/uploads\/sites\/114\/2014\/10\/15005338\/Caglar-Werner-revisedJan2014.pdf\">Divergence for s-concave and log concave functions<\/a><\/strong><\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Advances in Mathematics 257, pages: 219-247 (2014)<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Jointly with E. Werner<\/p>\n<p>\t<strong><a href=\"https:\/\/artscimedia.case.edu\/wp-content\/uploads\/sites\/114\/2014\/10\/15005337\/Mixed-f-divergences-revised-July30.pdf\">Mixed f-divergence and inequalities for log concave functions<\/a><\/strong><\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0Proceedings of the London Mathematical Society (2014); \u00a0doi: 10.1112\/plms\/pdu055<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Jointly with E. Werner<\/p>\n<p>\t<strong><\/strong><strong><a href=\"http:\/\/imrn.oxfordjournals.org\/content\/early\/2015\/06\/18\/imrn.rnv151.abstract?keytype=ref&amp;ijkey=VrpdZYlEeBncTnl\">Functional version of L_p-affine surface area and entropy inequalities<\/a><\/strong><\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 International Mathematics Research Notices 2015; \u00a0doi: 10.1093\/imrn\/rnv151<\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Jointly with M. Fradelizi, O. Guedon, J. Lehec, C. Schuett and E. Werner<\/p>\n<p>\t<a href=\"http:\/\/arxiv.org\/pdf\/1506.02974v1.pdf\"><strong>Orlicz affine isoperimetric inequalities for functions<\/strong> <\/a><\/p>\n<p style=\"text-align: left\">\u00a0 \u00a0 \u00a0Submitted.<\/p>\n<p><a href=\"https:\/\/casfaculty.case.edu\/umut-caglar\/publications\/\" class=\"more-link\">Continue reading&#8230; <span class=\"screen-reader-text\">Publications<\/span><\/a><\/p>\n","protected":false},"author":19,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"full-width-page.php","meta":{"spay_email":""},"_links":{"self":[{"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/pages\/33"}],"collection":[{"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/comments?post=33"}],"version-history":[{"count":10,"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/pages\/33\/revisions"}],"predecessor-version":[{"id":211,"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/pages\/33\/revisions\/211"}],"wp:attachment":[{"href":"https:\/\/casfaculty.case.edu\/umut-caglar\/wp-json\/wp\/v2\/media?parent=33"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}