{"id":22,"date":"2013-07-31T21:23:22","date_gmt":"2013-08-01T01:23:22","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/~basakgurel\/?page_id=22"},"modified":"2026-01-24T12:10:13","modified_gmt":"2026-01-24T17:10:13","slug":"publications","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p><font size=\"3\"><br \/>\nAll publications below are based on work supported by the National Science Foundation (NSF), most recently through NSF grant DMS-2304207 and NSF CAREER award DMS-1454342, and by the Simons Foundation grant 855299.<br \/>\n<!--Use \"ol reversed\" for a reverse order numbered list--><\/p>\n<ul>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2507.13215\" target=\"_blank\" rel=\"noopener noreferrer\">From Barcode Entropy to Metric Entropy<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, Preprint 2025, arxiv 2507.13215.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2410.13093\" target=\"_blank\" rel=\"noopener noreferrer\">Closed orbits of dynamically convex Reeb flows: towards the HZ- and multiplicity conjectures<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, Preprint 2024, arXiv 2410.13093.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2309.04576\" target=\"_blank\" rel=\"noopener noreferrer\">Invariant sets and hyperbolic closed Reeb orbits<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, M. Mazzucchelli, <i>Adv. Math.<\/i>, <b>484<\/b> (2026), Article 110709, doi: 10.1016\/j.aim.2025.110709.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2401.01421\" target=\"_blank\" rel=\"noopener noreferrer\">On the barcode entropy of Reeb flows<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, M. Mazzucchelli, <i>Selecta Math. (NS)<\/i>, <b>31<\/b> (2025), Article No. 64, doi: 10.1007\/s00029-025-01062-5.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2210.04357\" target=\"_blank\" rel=\"noopener noreferrer\">Lower semi-continuity of Lagrangian volume<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>Israel J. Math.<\/i>, <b>267<\/b> (2025), 253\u2013274, doi:10.48550\/arXiv 2210.04357.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2212.00943\" target=\"_blank\" rel=\"noopener noreferrer\">Barcode entropy of geodesic flows<\/a>, co-authors: V.L. Ginzburg, M. Mazzucchelli, <i>J. Eur. Math. Soc. (JEMS)<\/i>, 2024, doi:10.4171\/JEMS\/1572; First online: 13 Dec 2024.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2111.03983\" target=\"_blank\" rel=\"noopener noreferrer\">Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>Math. Z.<\/i>, Volume 308, <b>73<\/b> (2024), doi:10.1007\/s00209-024-03627-0.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2207.03613\" target=\"_blank\" rel=\"noopener noreferrer\">On the growth of the Floer barcode<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>J. Mod. Dyn.<\/i>, <b>20<\/b> (2024), 275-298, doi:10.3934\/jmd.2024007.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2310.00470\" target=\"_blank\" rel=\"noopener noreferrer\">On the generic behavior of the spectral norm<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>Pacific J. Math., <b>328<\/b> (2024), 119-135, doi:10.2140\/pjm.2024.328-119.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1812.05782\" target=\"_blank\" rel=\"noopener noreferrer\">Pseudo-rotations vs. rotations<\/a>, co-author: V.L. Ginzburg, <i>J. London Math. Soc.<\/i> (2022), doi:10.1112\/jms.12665.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/2009.13052\" target=\"_blank\" rel=\"noopener noreferrer\">Another look at the Hofer\u2013Zehnder conjecture<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>J. Fixed Theory Appl., Claude Viterbo&#8217;s 60th Birthday Festschrift<\/i>, <b>24<\/b> (2022), doi:10.1007\/s11784-022-00937-w.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1909.03310\" target=\"_blank\" rel=\"noopener noreferrer\">On the spectral characterization of Besse and Zoll Reeb flows<\/a>, co-authors: V.L. Ginzburg, M. Mazzucchelli, <i>Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire<\/i>, <b>38<\/b> (2021), 549-576.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1905.07567\" target=\"_blank\" rel=\"noopener noreferrer\">Pseudo-rotations and holomorphic curves<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>Selecta Math. (NS)<\/i>, <b>26<\/b> (2020), Article No. 78, doi:10.1007\/s00029-020-00609-y.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1909.11967\" target=\"_blank\" rel=\"noopener noreferrer\">From pseudo-rotations to holomorphic curves via quantum Steenrod squares<\/a>, co-authors: E. \u00c7ineli, V.L. Ginzburg, <i>Int. Math. Res. Not. IMRN<\/i>, 2020, doi:10.1093\/imrn\/rnaa173.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1601.03092\" target=\"_blank\" rel=\"noopener noreferrer\">Lusternik-Schnirelmann theory and closed Reeb orbits<\/a>, co-author: V.L. Ginzburg, <i>Math. Z.<\/i>, <b>295<\/b> (2020), 515\u2013582.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1812.00299\" target=\"_blank\" rel=\"noopener noreferrer\">Approximate identities and Lagrangian Poincar\u00e9 recurrence<\/a>, co-author: V.L. Ginzburg, <i>Arnold Math J.<\/i>, <b>5<\/b> (2019), 5\u201314.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1609.05592\" target=\"_blank\" rel=\"noopener noreferrer\">Conley conjecture revisited<\/a>, co-author: V.L. Ginzburg, <i>Int. Math. Res. Not. IMRN<\/i>, <b>3<\/b> (2019), 761\u2013798.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1712.09766\" target=\"_blank\" rel=\"noopener noreferrer\">Hamiltonian pseudo-rotations of complex projective spaces<\/a>, co-author: V.L. Ginzburg, <i>Invent. Math.<\/i>, <b>214<\/b> (2018), 1081\u20131130.<\/li>\n<li><a style=\"text-decoration: none\" href=\"https:\/\/arxiv.org\/abs\/1703.04054\" target=\"_blank\" rel=\"noopener noreferrer\">Multiplicity of closed Reeb orbits on prequantization bundles<\/a>, co-authors: V.L. Ginzburg, L. Macarini, <i>Israel J. Math.<\/i>, <b>228<\/b> (2018), 407\u2013453.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1503.07145\" target=\"_blank\" rel=\"noopener noreferrer\">Non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds<\/a>, co-author: V.L. Ginzburg, <i>Compos. Math.<\/i>, <b>152<\/b> (2016), 1777\u20131799.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1411.7723\" target=\"_blank\" rel=\"noopener noreferrer\">The Conley conjecture and beyond<\/a>, co-author: V.L. Ginzburg, <i>Arnold Math J.<\/i>, <b>1<\/b> (2015), 299\u2013337.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1407.1773\" target=\"_blank\" rel=\"noopener noreferrer\">On the Conley conjecture for Reeb flows<\/a>, co-authors: V.L. Ginzburg, L. Macarini, <i>Internat. J. Math.<\/i>, <b>26<\/b> (2015), 1550047 [22 pages], doi:10.1142\/S0129167X15500470.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1409.7746\" target=\"_blank\" rel=\"noopener noreferrer\">Fragility and persistence of leafwise intersections<\/a>, co-author: V.L. Ginzburg, <i>Math. Z.<\/i>, <b>28<\/b> (2015), 989\u20131004.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1401.2665\" target=\"_blank\" rel=\"noopener noreferrer\">Perfect Reeb flows and action-index relations<\/a>, <i>Geom. Dedicata<\/i>, <b>174<\/b> (2015), 105\u2013120.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1209.3529\" target=\"_blank\" rel=\"noopener noreferrer\">Periodic orbits of Hamiltonian systems linear and hyperbolic at infinity<\/a>, <i>Pacific J. Math.<\/i>, <b>271<\/b> (2014), 159\u2013182.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1208.1733\" target=\"_blank\" rel=\"noopener noreferrer\">Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms<\/a>, co-author: V.L. Ginzburg, <i>Duke Math. J.<\/i>, <b>163<\/b> (2014), 565\u2013590.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1210.3866\" target=\"_blank\" rel=\"noopener noreferrer\">On non-contractible periodic orbits of Hamiltonian diffeomorphisms<\/a>, <i>Bull. Lon. Math. Soc.<\/i>, <b>45<\/b> (2013), 1227\u20131234.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1110.6728\" target=\"_blank\" rel=\"noopener noreferrer\">Action-index relations for perfect Hamiltonian diffeomorphisms<\/a>, co-authors: M. Chance and V.L. Ginzburg, <i>J. Symplectic Geom.<\/i>, <b>11<\/b> (2013), 449\u2013474.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/1011.5018\" target=\"_blank\" rel=\"noopener noreferrer\">Conley conjecture for negative monotone symplectic manifolds<\/a>, co-author: V.L. Ginzburg, <i>Int. Math. Res. Notices IMRN<\/i>, <b>8<\/b> (2012), 449\u2013474.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/0709.4077\" target=\"_blank\" rel=\"noopener noreferrer\">Local Floer homology and the action gap<\/a>, co-author: V. L. Ginzburg, <i>J. Symplectic. Geom.<\/i>,\u00a0<b>8<\/b>\u00a0(2010), 323\u2013357.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/0905.4139\" target=\"_blank\" rel=\"noopener noreferrer\">Leafwise coisotropic intersections<\/a>, <i>Int. Math. Res. Not. IMRN<\/i> (2010), 914\u2013931.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/0908.3286\" target=\"_blank\" rel=\"noopener noreferrer\">On the generic existence of periodic orbits in Hamiltonian dynamics<\/a>, co-author: V.L. Ginzburg, <i>J. Mod. Dyn.<\/i>,\u00a0<b>3<\/b>\u00a0(2009), 595\u2013610.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/0810.5170\" target=\"_blank\" rel=\"noopener noreferrer\">Action and index spectra and periodic orbits in Hamiltonian dynamics\u00a0<\/a>, co-author:V.L. Ginzburg, <i>Geom. Topol.<\/i>,\u00a0<b>13<\/b>\u00a0(2009), 2745\u20132805.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/0705.1818\" target=\"_blank\" rel=\"noopener noreferrer\">Periodic orbits of twisted geodesic flows and the Weinstein-Moser theorem<\/a>, co-author: V.L. Ginzburg, <i>Comment. Math. Helv.<\/i>,\u00a0<b>84<\/b>\u00a0(2009), 865\u2013907.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/math\/0702091\" target=\"_blank\" rel=\"noopener noreferrer\">Totally non-coisotropic displacement and its applications to Hamiltonian dynamics<\/a>, <i>Commun. Contemp. Math.<\/i>,\u00a0<b>10<\/b>\u00a0(2008), 1103\u20131128.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/www.aimsciences.org\/journals\/pdfs.jsp?paperID=2698&amp;mode=full\" target=\"_blank\" rel=\"noopener noreferrer\">The generalized Weinstein-Moser theorem<\/a>, co-author: V.L. Ginzburg, <i>Electron. Res. Announc. Math. Sci.<\/i>,\u00a0<b>14<\/b>\u00a0(2007), 20\u201329.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/arxiv.org\/abs\/math\/0301073\" target=\"_blank\" rel=\"noopener noreferrer\">Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles<\/a>, co-author: V.L. Ginzburg, <i>Duke Math. J.<\/i>,\u00a0<b>123<\/b>\u00a0(2004), 1\u201347.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/www.math.princeton.edu\/~annals\/issues\/2003\/158_3.html\" target=\"_blank\" rel=\"noopener noreferrer\">A C<sup>2<\/sup>-smooth counterexample to the Hamiltonian Seifert conjecture in R<sup>4<\/sup><\/a>, co-author: V.L. Ginzburg, <i>Ann. of Math.<\/i>,\u00a0<b>158<\/b>\u00a0(2003), 953\u2013976.<\/li>\n<li><a style=\"text-decoration: none\" href=\"http:\/\/www.ams.org\/journals\/era\/home-2002.html\" target=\"_blank\" rel=\"noopener noreferrer\">On the construction of a C<sup>2<\/sup>-counterexample to the Hamiltonian Seifert conjecture in R<sup>4<\/sup><\/a>, co-author: V.L. Ginzburg, <i>Electron. Res. Announc. Amer. Math. Soc.<\/i>\u00a0<b>8<\/b>\u00a0(2002), 11\u201319.<\/li>\n<li>Hamiltonian Seifert Conjecture and the Relative Almost Existence Theorem, Ph.D. Thesis, September 2003,\u00a0<a>University of California at Santa Cruz.<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>All publications below are based on work supported by the National Science Foundation (NSF), most recently through NSF grant DMS-2304207 and NSF CAREER award DMS-1454342, and by the Simons Foundation grant 855299. From Barcode Entropy to Metric Entropy, co-authors: E. \u00c7ineli, V.L. Ginzburg, Preprint 2025, arxiv 2507.13215. Closed orbits of dynamically convex Reeb flows: towards [&hellip;]<\/p>\n","protected":false},"author":21,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"page-templates\/full-width.php","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":51,"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":294,"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/pages\/22\/revisions\/294"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/basakgurel\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}