{"id":8,"date":"2016-05-14T01:56:57","date_gmt":"2016-05-14T01:56:57","guid":{"rendered":"http:\/\/myweb.fiu.edu\/ucaglar\/?page_id=8"},"modified":"2023-03-20T23:17:46","modified_gmt":"2023-03-20T23:17:46","slug":"8-2","status":"publish","type":"page","link":"https:\/\/myweb.fiu.edu\/ucaglar\/8-2\/","title":{"rendered":"Publications"},"content":{"rendered":"<ul>\n<li><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/urldefense.proofpoint.com\/v2\/url?u=http-3A__arxiv.org_abs_2005.07055&amp;d=DwMFaQ&amp;c=lhMMI368wojMYNABHh1gQQ&amp;r=iLHlibTc2wCYPxT2A6DjuQ&amp;m=rjucyNZSdHaKdnMTnE3qBzlrJDtP4FrC8fl0J88b440&amp;s=50GXjw4H1Atzp0OSLwXYklrA7oH-rvGGjowPrJPawu0&amp;e=\">Pinsker inequalities and related Monge-Ampere equations for log concave functions. <\/a><\/span><\/strong>ArXiv: <a href=\"https:\/\/urldefense.proofpoint.com\/v2\/url?u=http-3A__arxiv.org_abs_2005.07055&amp;d=DwMFaQ&amp;c=lhMMI368wojMYNABHh1gQQ&amp;r=iLHlibTc2wCYPxT2A6DjuQ&amp;m=rjucyNZSdHaKdnMTnE3qBzlrJDtP4FrC8fl0J88b440&amp;s=50GXjw4H1Atzp0OSLwXYklrA7oH-rvGGjowPrJPawu0&amp;e=\">2005.07055<\/a>\u00a0 \u00a0<strong>Indiana University Mathematics Journal, <\/strong><strong> 71, No. 6 (2022)\u00a0<\/strong>Jointly with\u00a0 A. Kolesnikov and E. M. Werner.<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #3366ff\"><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/myweb.fiu.edu\/ucaglar\/wp-content\/uploads\/sites\/394\/2017\/01\/Caglar-WernerIMA_revised.pdf\">Stability results for some geometric inequalities and their functional versions<\/a> \u00a0<\/span> <\/strong>\u00a0<\/span>\u00a0 \u00a0 \u00a0 \u00a0 <strong>Book Chapter: <span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.springer.com\/us\/book\/9781493970049\">Convexity and Concentration<\/a><\/span><\/strong> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Vol. 161 of\u00a0IMA Volumes in Mathematics and its Applications \u00a0p: 541-564 \u00a0 Springer \u00a02017 <span style=\"font-size: 1rem\">Jointly with E. Werner<\/span><\/li>\n<\/ul>\n<ul>\n<li style=\"text-align: left\"><span style=\"color: #0000ff\"><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0196885816300513\">Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theor<\/a>y\u00a0 <\/span>\u00a0<\/strong><\/span><strong>Advances in Applied<span style=\"color: #000000\"> Mathematics, <\/span><\/strong><span style=\"color: #000000\">Vol. 81, pages: 78-114 (2016)<\/span><span style=\"color: #000000\">\u00a0<\/span><strong><span style=\"color: #000000\"> \u00a0 \u00a0<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/strong>Jointly with D. Ye<\/li>\n<\/ul>\n<ul style=\"text-align: left\">\n<li><strong><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" 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>\u00a0\u00a0 \u00a0<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong>International Mathematics Research Notices,<\/strong>\u00a0Vol. 2016, pages: 1223-1250 (2016) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Jointly with M. Fradelizi, O. Guedon, J. Lehec, C. Schuett and E. Werner<\/li>\n<\/ul>\n<ul style=\"text-align: left\">\n<li style=\"text-align: left\"><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"https:\/\/academic.oup.com\/plms\/article-abstract\/110\/2\/271\/1483716\/Mixed-f-divergence-and-inequalities-for-log?redirectedFrom=fulltext\">Mixed f-divergence and inequalities for log concave functions<\/a>\u00a0 \u00a0 \u00a0 \u00a0<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Proceedings of the London Mathematical Society<\/strong>, Vol. 110, pages: 271-290 (2015) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Jointly with E. Werner<\/li>\n<\/ul>\n<ul style=\"text-align: left\">\n<li style=\"text-align: left\"><strong><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0001870814000632\">Divergence for s-concave and log concave functions<\/a>\u00a0 \u00a0 <\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Advances in Mathematics<\/strong>, Vol. 257, pages: 219-247 (2014) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Jointly with E. Werner<\/li>\n<\/ul>\n<ul style=\"text-align: left\">\n<li><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" 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<\/span>, Ph.D. Thesis, August 2014 \u00a0Advisers: Elisabeth M. Werner and Stanislaw J. Szarek<\/li>\n<\/ul>\n<ul>\n<li style=\"text-align: left\"><span style=\"color: #0000ff\"><a style=\"color: #0000ff\" title=\"Floating Bodies\" href=\"https:\/\/etd.ohiolink.edu\/!etd.send_file?accession=case1274467259&amp;disposition=inline\">Floating Bodies<\/a><\/span>, M.S. Thesis, \u00a0August 2010 \u00a0Adviser: Elisabeth M. Werner<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Pinsker inequalities and related Monge-Ampere equations for log concave functions. ArXiv: 2005.07055\u00a0 \u00a0Indiana University Mathematics Journal, 71, No. 6 (2022)\u00a0Jointly with\u00a0 A. Kolesnikov and E. M. Werner. Stability results for some geometric inequalities and their functional versions \u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0 Book Chapter: Convexity and Concentration \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [&hellip;]<\/p>\n","protected":false},"author":389,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-8","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/pages\/8","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/users\/389"}],"replies":[{"embeddable":true,"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/comments?post=8"}],"version-history":[{"count":0,"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/pages\/8\/revisions"}],"wp:attachment":[{"href":"https:\/\/myweb.fiu.edu\/ucaglar\/wp-json\/wp\/v2\/media?parent=8"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}