{"id":7178,"date":"2021-03-09T10:17:44","date_gmt":"2021-03-09T10:17:44","guid":{"rendered":"https:\/\/math.uniri.hr\/?page_id=7178"},"modified":"2026-03-04T09:18:06","modified_gmt":"2026-03-04T09:18:06","slug":"division-of-mathematical-analysis","status":"publish","type":"page","link":"https:\/\/math.uniri.hr\/en\/about\/organization\/division-of-mathematical-analysis\/","title":{"rendered":"Division of Mathematical Analysis"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Chair:<\/h3>\n\n\n\n<p>Assoc. Prof. Davor Dragi\u010devi\u0107<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Members:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Assoc. Prof. Bojan Crnkovi\u0107<\/li>\n\n\n\n<li>Assoc. Prof. Davor Dragi\u010devi\u0107<\/li>\n\n\n\n<li>Assoc. Prof. Danijel Krizmani\u0107<\/li>\n\n\n\n<li>Assist. Prof. Ivana Slami\u0107<\/li>\n\n\n\n<li>Assist. Prof. Milena So\u0161i\u0107<\/li>\n\n\n\n<li>Ines Rado\u0161evi\u0107 Medvidovi\u0107, Sen. Lecturer<\/li>\n\n\n\n<li>Antonio \u0160pac<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Objectives and Organisation of the Division<\/h3>\n\n\n\n<p>The activities of the Division include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>bringing together academic staff working in related, overlapping, or complementary research areas grounded in mathematical analysis;<\/li>\n\n\n\n<li>engagement in professional, technological, and innovation-oriented activities;<\/li>\n\n\n\n<li>oversight of the delivery and quality assurance of teaching;<\/li>\n\n\n\n<li>continuous efforts to enhance the teaching process and to increase research output.<\/li>\n<\/ul>\n\n\n\n<p>The Division of Mathematical Analysis was established in 2009. It brings together academic staff whose research interests and activities lie in the following areas of mathematics:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Functional Analysis<\/li>\n\n\n\n<li>Numerical Mathematics and Applications<\/li>\n\n\n\n<li>Dynamical Systems<\/li>\n\n\n\n<li>Probability Theory and Statistics<\/li>\n\n\n\n<li>Differential Geometry<\/li>\n<\/ul>\n\n\n\n<p>The Division currently comprises seven members: five holding research and teaching positions, one lecturer, and one assistant.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Research<\/h2>\n\n\n\n<p>Members of the Division engage in collaborative research with mathematicians from around the world, present their scientific achievements at international conferences and seminars, undertake research visits at leading international institutions, review articles for major mathematical literature databases, and evaluate manuscripts submitted to international journals.<\/p>\n\n\n\n<p>We are proud to note that Davor Dragi\u010devi\u0107 was awarded the National Prize for Science in 2017, in the category recognizing outstanding young scientists in the field of natural sciences.<\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\" data-mobilecollapse=\"false\" data-desktopcollapse=\"false\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\" style=\"color: #000000; \">Active Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\">\n\n<ul class=\"wp-block-list\">\n<li>Statisti\u010dka svojstva slu\u010dajnih dinami\u010dkih sustava te ostali doprinosi matemati\u010dkoj analizi i teoriji vjerojatnosti (<a href=\"https:\/\/www.math.uniri.hr\/~dkrizmanic\/projekt-UNIRI_2025.html\" target=\"_blank\" rel=\"noreferrer noopener\">Projekt UNIRI<\/a>) (project leader: Davor Dragi\u010devi\u0107), UNIRI project, University of Rijeka<\/li>\n\n\n\n<li>Fourierova analiza i primjene (<a href=\"https:\/\/web.math.pmf.unizg.hr\/fanap\/\" target=\"_blank\" rel=\"noreferrer noopener\">HRZZ IP-2022-10-5116<\/a>) (project leader: Prof. Vjekoslav Kova\u010d), Croatian Science Foundation<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-1-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\" style=\"color: #000000; \">Finished Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-a2bdf9c7-fdf0-44d3-9f66-4676561a4c07\">\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.math.uniri.hr\/~dkrizmanic\/projekt-HRZZ.html\" target=\"_blank\" rel=\"noreferrer noopener\">Operatori pomaka, statisti\u010dki zakoni i beskona\u010dno-dimenzionalni dinami\u010dki sustavi<\/a>\u00a0(project leader: Assist. Prof. Davor Dragi\u010devi\u0107), Croatian Science Foundation<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~dkrizmanic\/projekt.html\" target=\"_blank\" rel=\"noreferrer noopener\">Metode matemati\u010dke analize u teorijskoj i primijenjenoj matematici<\/a>\u00a0(project leader: Assist. Prof. Davor Dragi\u010devi\u0107), UNIRI project, University of Rijeka<\/li>\n\n\n\n<li>Pametni gradovi u funkciji razvoja nacionalnog gospodarstva (project leader: Prof. Sa\u0161a Drezgi\u0107), UNIRI project, University of Rijeka<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~dkrizmanic\/projekt-UNIRIplus.html\" target=\"_blank\" rel=\"noreferrer noopener\">Stohasti\u010dke metode u matemati\u010dkoj analizi<\/a>\u00a0(project leader: Assoc. Prof. Danijel Krizmani\u0107), UNIRI-plus project, University of Rijeka<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p>Members of the Division regularly publish a significant number of scientific articles, both independently and in collaboration with researchers from other scientific institutions. A substantial portion of these articles has appeared in highly esteemed international journals.<\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-a930c982-75b7-4a0c-9c73-caf82c6c6cce\" data-mobilecollapse=\"false\" data-desktopcollapse=\"false\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-a930c982-75b7-4a0c-9c73-caf82c6c6cce\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-a930c982-75b7-4a0c-9c73-caf82c6c6cce\" style=\"color: #000000; \">Selected Research Papers<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-a930c982-75b7-4a0c-9c73-caf82c6c6cce\">\n\n<ol class=\"wp-block-list\">\n<li>B. Crnkovi\u0107, J. \u0160kifi\u0107. T. Bosner: Weno based adaptive image zooming algorithm, Appl. Math. Comput. 492 (2025), Paper No. 129228, 19 pp.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, C. Gonzalez-Tokman, J. Sedro: Linear response for random and sequential intermittent maps, J. London Math. Soc. 111 (2025), Paper No. e70150, 39 pp.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, A. L. Sasu, B. Sasu: Robustness of uniform exponential trichotomy: an input-output approach, J. Differential Equations 439 (2025),<br>Paper No. 113409, 36 pp.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, Y. Hafouta: Iterated invariance principle for random dynamical systems, Nonlinearity 38 (2025), Paper No. 035016, 35 pp.<\/li>\n\n\n\n<li>L. Backes, D. Dragi\u010devi\u0107, M. Pituk: Shadowing, Hyers-Ulam stability and hyperbolicity for nonautonomous linear differential equations, Commun. Contemp. Math. 27 (2025), Paper No. 2450012, 22 pp.<\/li>\n\n\n\n<li>L. Backes, D. Dragi\u010devi\u0107, Y. Xia: Admissibility approach to nonuniform exponential dichotomies, Proc. Amer. Math. Soc. 153 (2025), 1687\u20131699.<\/li>\n\n\n\n<li>D. Krizmani\u0107: Skorokhod M1 convergence of maxima of multivariate linear processes with heavy-tailed innovations and random coefficients, Mod. Stoch. Theory Appl. 12 (2025), 251-272.<\/li>\n\n\n\n<li>D. Krizmani\u0107: Joint functional convergence of partial sums and maxima for moving averages with weakly dependent heavy-tailed innovations and random coefficients, ALEA Lat. Am. J. Probab. Math. Stat. 20 (2023), 1247-1270.<\/li>\n\n\n\n<li>H.\u0160iki\u0107, I.Slami\u0107:\u00a0 Dual Integrable Representations on Locally Compact Groups, Journal of Geometric Analysis, 34, 91, (2024),\u00a0 52 pp.<\/li>\n\n\n\n<li>T. Beri\u0107, H. \u0160iki\u0107, I. Slami\u0107:\u00a0(B) and (H) property on locally compact groups, Mediterranean Journal of Mathematics 22 (2025), article 135, 26 pp.<\/li>\n\n\n\n<li>M. So\u0161i\u0107:\u00a0The inverse of a quantum bilinear form of the oriented braid arrangement, Glasnik Matemati\u010dki 59 (2024), 51-75.<\/li>\n\n\n\n<li>S. Ivi\u0107, B. Crnkovi\u0107, L. Grb\u010di\u0107 and L. Matlekovi\u0107,\u00a0Multi-UAV trajectory planning for 3D visual inspection of complex structures, Automation in Construction 147 (2023), 104709<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, P. Giulietti and J. Sedro, Quenched linear response for expanding on average cocycles, Communications in Mathematical Physics 399 (2023), 423-452.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, A. L. Sasu and B. Sasu,\u00a0On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches, Journal of Dynamics and Differential Equations 34 (2022), 1107-1137.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, W. Zhang, W. Zhang: Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy, Proceedings of the London Mathematical Society 121 (2020), 32-50.<\/li>\n\n\n\n<li>D. Dragi\u010devi\u0107, G. Froyland, C. Gonzalez-Tokman, S. Vaienti: A spectral approach for quenched limit theorems for random hyperbolic dynamical systems, Transactions of the American Mathematical Society 373 (2020), 629&#8211;664.<\/li>\n\n\n\n<li>D. Krizmani\u0107,\u00a0Maxima of linear processes with heavy-tailed innovations and random coefficients, Journal of Time Series Analysis 43 (2022), 238-262.<\/li>\n\n\n\n<li>B. Basrak, D. Krizmani\u0107, J. Segers: A functional limit theorem for partial sums of dependent random variables with infinite variance, Annals of probability 40 (2012), 2008-2033.<\/li>\n\n\n\n<li>I. Slami\u0107,\u00a0A note on l^2-linear independence of Gabor systems, Collectanea Mathematica 74 (2023), 323-331.<\/li>\n\n\n\n<li>I. Slami\u0107 and H. \u0160iki\u0107,\u00a0Maximal cyclic subspaces for dual integrable representations, Journal of Mathematical Analysis and Applications 511 (2022),\u00a0126071.<\/li>\n<\/ol>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p>It is worth highlighting that a member of the Division, Davor Dragi\u010devi\u0107, is a co-author of the book&nbsp;<em>Admissibility &amp; Hyperbolicity<\/em>&nbsp;(together with Luis Barreira and Claudio Valls), published in 2018 by the prestigious publisher Springer.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Teaching<\/h2>\n\n\n\n<p>Members of the Division participate in the delivery of courses within the Mathematics programme at both undergraduate and graduate levels. They also teach courses in the&nbsp;Faculty of Physics,&nbsp;Faculty of Informatics and Digital Technologies, as well as at the Faculty of Civil Engineering and the Faculty of Engineering.<\/p>\n\n\n\n<p>Most instructors have established e-courses through the Merlin system, thereby integrating modern didactic methods into their teaching. Moreover, due to the specialized nature of the courses taught by Division members (such as Numerical Mathematics or Mathematical Statistics), they continuously monitor trends in IT technologies to enable students to work with up-to-date and widely adopted software packages and programming languages, including Python, C++, and R.<\/p>\n\n\n\n<p>Through their teaching activities, Division members actively encourage students\u2019 research work, resulting in numerous publications co-authored with their students. Some of the most recent include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Bri\u0161ka, M. So\u0161i\u0107,&nbsp;<em>Second-Order Shear Curves<\/em>, Math. e 46, 2025.<\/li>\n\n\n\n<li>S. Marini\u0107, I. Slami\u0107,&nbsp;<em>Heat Transfer, Brownian Motion, and Mathematical Modelling of Financial Dynamics<\/em>, Math. e 45, 2024.<\/li>\n\n\n\n<li>D. Krizmani\u0107, A. \u0160pac,&nbsp;<em>Jensen\u2019s Inequality in Probability Theory<\/em>, Osje\u010dki matemati\u010dki list 24 (2024), no. 2, 87\u201398.<\/li>\n<\/ul>\n\n\n\n<p>Several members have been recognized for their teaching excellence:<\/p>\n\n\n\n<p>Ivana Slami\u0107 again received the Teaching Excellence Award for the 2024\/2025 academic year.<\/p>\n\n\n\n<p>Ivana Slami\u0107 received the University of Rijeka Teaching Excellence Award in the 2017\/2018 academic year.<\/p>\n\n\n\n<p>Davor Dragi\u010devi\u0107 and Emma \u0160epi\u0107 received the Teaching Excellence Award for the 2020\/2021 academic year.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Professional Activities<\/h2>\n\n\n\n<p>In addition to their research and teaching, members of the Division are actively engaged in professional work in the fields of mathematics, applied mathematics, engineering, mathematics education, and science popularization.<\/p>\n\n\n\n<p>In 2015 and 2018, Division members delivered lectures and workshops at the Rijeka Mathematical Meetings, with topics including&nbsp;<em>Challenges in Mathematical Analysis<\/em>&nbsp;and&nbsp;<em>The Mathematics of Chance<\/em>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chair: Assoc. Prof. Davor Dragi\u010devi\u0107 Members: Objectives and Organisation of the Division The activities of the Division include: The Division of Mathematical Analysis was established in 2009. It brings together academic staff whose research interests and activities lie in the following areas of mathematics: The Division currently comprises seven members: five holding research and teaching [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":7172,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"ub_ctt_via":"","footnotes":""},"class_list":["post-7178","page","type-page","status-publish","hentry"],"acf":[],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7178","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/comments?post=7178"}],"version-history":[{"count":5,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7178\/revisions"}],"predecessor-version":[{"id":7545,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7178\/revisions\/7545"}],"up":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7172"}],"wp:attachment":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/media?parent=7178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}