Chair:
Assoc. Prof. Davor Dragičević
Members:
- Assoc. Prof. Bojan Crnković
- Assoc. Prof. Davor Dragičević
- Assoc. Prof. Danijel Krizmanić
- Assist. Prof. Ivana Slamić
- Assist. Prof. Milena Sošić
- Ines Radošević Medvidović, Sen. Lecturer
- Antonio Špac
Objectives and Organisation of the Division
The activities of the Division include:
- bringing together academic staff working in related, overlapping, or complementary research areas grounded in mathematical analysis;
- engagement in professional, technological, and innovation-oriented activities;
- oversight of the delivery and quality assurance of teaching;
- continuous efforts to enhance the teaching process and to increase research output.
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:
- Functional Analysis
- Numerical Mathematics and Applications
- Dynamical Systems
- Probability Theory and Statistics
- Differential Geometry
The Division currently comprises seven members: five holding research and teaching positions, one lecturer, and one assistant.
Research
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.
We are proud to note that Davor Dragičević was awarded the National Prize for Science in 2017, in the category recognizing outstanding young scientists in the field of natural sciences.
Active Research Projects
- Statistička svojstva slučajnih dinamičkih sustava te ostali doprinosi matematičkoj analizi i teoriji vjerojatnosti (Projekt UNIRI) (project leader: Davor Dragičević), UNIRI project, University of Rijeka
- Fourierova analiza i primjene (HRZZ IP-2022-10-5116) (project leader: Prof. Vjekoslav Kovač), Croatian Science Foundation
Finished Research Projects
- Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (project leader: Assist. Prof. Davor Dragičević), Croatian Science Foundation
- Metode matematičke analize u teorijskoj i primijenjenoj matematici (project leader: Assist. Prof. Davor Dragičević), UNIRI project, University of Rijeka
- Pametni gradovi u funkciji razvoja nacionalnog gospodarstva (project leader: Prof. Saša Drezgić), UNIRI project, University of Rijeka
- Stohastičke metode u matematičkoj analizi (project leader: Assoc. Prof. Danijel Krizmanić), UNIRI-plus project, University of Rijeka
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.
Selected Research Papers
- B. Crnković, J. Škifić. T. Bosner: Weno based adaptive image zooming algorithm, Appl. Math. Comput. 492 (2025), Paper No. 129228, 19 pp.
- D. Dragičević, C. Gonzalez-Tokman, J. Sedro: Linear response for random and sequential intermittent maps, J. London Math. Soc. 111 (2025), Paper No. e70150, 39 pp.
- D. Dragičević, A. L. Sasu, B. Sasu: Robustness of uniform exponential trichotomy: an input-output approach, J. Differential Equations 439 (2025),
Paper No. 113409, 36 pp. - D. Dragičević, Y. Hafouta: Iterated invariance principle for random dynamical systems, Nonlinearity 38 (2025), Paper No. 035016, 35 pp.
- L. Backes, D. Dragičević, M. Pituk: Shadowing, Hyers-Ulam stability and hyperbolicity for nonautonomous linear differential equations, Commun. Contemp. Math. 27 (2025), Paper No. 2450012, 22 pp.
- L. Backes, D. Dragičević, Y. Xia: Admissibility approach to nonuniform exponential dichotomies, Proc. Amer. Math. Soc. 153 (2025), 1687–1699.
- D. Krizmanić: Skorokhod M1 convergence of maxima of multivariate linear processes with heavy-tailed innovations and random coefficients, Mod. Stoch. Theory Appl. 12 (2025), 251-272.
- D. Krizmanić: 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.
- H.Šikić, I.Slamić: Dual Integrable Representations on Locally Compact Groups, Journal of Geometric Analysis, 34, 91, (2024), 52 pp.
- T. Berić, H. Šikić, I. Slamić: (B) and (H) property on locally compact groups, Mediterranean Journal of Mathematics 22 (2025), article 135, 26 pp.
- M. Sošić: The inverse of a quantum bilinear form of the oriented braid arrangement, Glasnik Matematički 59 (2024), 51-75.
- S. Ivić, B. Crnković, L. Grbčić and L. Matleković, Multi-UAV trajectory planning for 3D visual inspection of complex structures, Automation in Construction 147 (2023), 104709
- D. Dragičević, P. Giulietti and J. Sedro, Quenched linear response for expanding on average cocycles, Communications in Mathematical Physics 399 (2023), 423-452.
- D. Dragičević, A. L. Sasu and B. Sasu, On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches, Journal of Dynamics and Differential Equations 34 (2022), 1107-1137.
- D. Dragičević, W. Zhang, W. Zhang: Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy, Proceedings of the London Mathematical Society 121 (2020), 32-50.
- D. Dragičević, 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), 629–664.
- D. Krizmanić, Maxima of linear processes with heavy-tailed innovations and random coefficients, Journal of Time Series Analysis 43 (2022), 238-262.
- B. Basrak, D. Krizmanić, J. Segers: A functional limit theorem for partial sums of dependent random variables with infinite variance, Annals of probability 40 (2012), 2008-2033.
- I. Slamić, A note on l^2-linear independence of Gabor systems, Collectanea Mathematica 74 (2023), 323-331.
- I. Slamić and H. Šikić, Maximal cyclic subspaces for dual integrable representations, Journal of Mathematical Analysis and Applications 511 (2022), 126071.
It is worth highlighting that a member of the Division, Davor Dragičević, is a co-author of the book Admissibility & Hyperbolicity (together with Luis Barreira and Claudio Valls), published in 2018 by the prestigious publisher Springer.
Teaching
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 Faculty of Physics, Faculty of Informatics and Digital Technologies, as well as at the Faculty of Civil Engineering and the Faculty of Engineering.
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.
Through their teaching activities, Division members actively encourage students’ research work, resulting in numerous publications co-authored with their students. Some of the most recent include:
- M. Briška, M. Sošić, Second-Order Shear Curves, Math. e 46, 2025.
- S. Marinić, I. Slamić, Heat Transfer, Brownian Motion, and Mathematical Modelling of Financial Dynamics, Math. e 45, 2024.
- D. Krizmanić, A. Špac, Jensen’s Inequality in Probability Theory, Osječki matematički list 24 (2024), no. 2, 87–98.
Several members have been recognized for their teaching excellence:
Ivana Slamić again received the Teaching Excellence Award for the 2024/2025 academic year.
Ivana Slamić received the University of Rijeka Teaching Excellence Award in the 2017/2018 academic year.
Davor Dragičević and Emma Šepić received the Teaching Excellence Award for the 2020/2021 academic year.
Professional Activities
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.
In 2015 and 2018, Division members delivered lectures and workshops at the Rijeka Mathematical Meetings, with topics including Challenges in Mathematical Analysis and The Mathematics of Chance.