Metode matematičke analize u teorijskoj i primjenjenoj matematici 

UNIRI projekt 2018 (uniri-prirod-18-9) 


 Voditelj projekta: izv. prof. dr. sc. Davor Dragičević (Fakultet za matematiku Sveučilišta u Rijeci) 

 Istraživački tim:  
izv. prof. dr. sc. Bojan Crnković (Fakultet za matematiku Sveučilišta u Rijeci)
izv. prof. dr. sc. Danijel Krizmanić (Fakultet za matematiku Sveučilišta u Rijeci)
doc. dr. sc. Ivana Slamić (Fakultet za matematiku Sveučilišta u Rijeci)
doc. dr. sc. Milena Sošić (Fakultet za matematiku Sveučilišta u Rijeci)

 Objavljeni radovi:
  1. D. Krizmanić, Functional convergence for moving averages with heavy tails and random coefficients, ALEA Lat. Am. J. Probab. Math. Stat. 16 (2019), 729-757.
  2. D. Dragičević, W. Zhang, W. Zhang, Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy, Mathematische Zeitschrift 292 (2019), 1175-1193.
  3. D. Dragičević, W. Zhang, Asymptotic stability of nonuniform behaviour, Proceedings of the American Mathematical Society 147 (2019), 2437-2451.
  4. L. Barreira, D. Dragičević, C. Valls, Spectrum for compact operators on Banach spaces, Journal of the Mathematical Society of Japan 71 (2019), 1-17.
  5. L. Backes, D. Dragičević, Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles, Annales Academiae scientiarum fennicae-mathematica 44 (2019), 183-209.
  6. L. Backes, D. Dragičević, Shadowing for nonautonomous dynamics, Advanced nonlinear studies 19 (2019), 425-436.
  7. M. Abu Alhalawa, D. Dragičević, New conditions for (non)uniform behaviour of linear cocycles over flows, Journal of mathematical analysis and applications 473 (2019), 367-381.
  8. T. Bosner, B. Crnković, J. Škifić, Application of CCC–Schoenberg operators on image resampling, BIT Numerical Mathematics (2019), 1-27.
  9. 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.
  10. D. Dragičević, Admissibility and nonuniform polynomial dichotomies, Mathematische Nachrichten 293 (2020), 226-243.
  11. D. Dragičević, Admissibility and polynomial dichotomies for evolution families, Communications on pure and applied analysis 19 (2020), 1321-1336.
  12. D. Dragičević, A. L. Sasu, B. Sasu, On the Asymptotic Behavior of Discrete Dynamical Systems - An Ergodic Theory Approach, Journal of Differential Equations 268 (2020), 4786-4829.
  13. 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.
  14. D. Dragičević, Barbashin-type conditions for exponential stability of linear cocycles, Monatshefte für Mathematik 19 (2020), 813-826.
  15. L. Backes, D. Dragičević, Quasi-shadowing for partially hyperbolic dynamics on Banach spaces, Journal of Mathematical Analysis and Applications 492 (2020), 124445
  16. D. Krizmanić, On joint weak convergence of partial sum and maxima processes, Stochastics 92 (2020), 876-899.
  17. S. Ivić, B. Crnković, H. Arbabi, S. Loire, P. Clary, I. Mezić, Search strategy in a complex and dynamic environment: the MH370 case, Scientific Reports 10, 19640 (2020) [link]
  18. D. Dragičević, Y. Hafouta, Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables, Annales Henri Poincare 21 (2020), 3869-3917.
  19. D. Dragičević, N. Jurčević Peček, N. Lupa, Admissibility and general dichotomies for evolution families, Electronic Journal of Qualitative Theory of Differential Equations 2020 (2020), 58, 19pp.
  20. D. Dragičević, On the exponential stability and hyperbolicity of linear cocycles, Linear and Multilinear Algebra 69 (2021), 259-277.
  21. L. Backes, D. Dragičević, Shadowing for infinite dimensional dynamics and exponential trichotomies, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (2021), 863-884.
  22. D. Dragičević, Hyers-Ulam stability for nonautonomous semilinear dynamics on bounded intervals, Mediterranean journal of mathematics 18 (2021), 9pp.
  23. D. Dragičević, M. Pituk, Shadowing for nonautonomous difference equations with infinite delay, Applied Mathematics Letters 120 (2021), 107284, 8pp.
  24. L. Backes, D. Dragičević, A general approach to nonautonomous shadowing for nonlinear dynamics, Bulletin des Sciences Mathematiques 170 (2021), 102996, 30pp.
  25. D. Dragičević, Hyers-Ulam stability for a class of perturbed Hill's equations, Results in Mathematics 76 (2021), 11pp.
  26. L. Backes, D. Dragičević, K. J. Palmer, Linearization and Holder Continuity for Nonautonomous Systems, Journal of Differential Equations 297 (2021), 536-574.
  27. D. Dragičević, Y. Hafouta, Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations, Thermodynamic Formalism-CIRM Jean Morlet Chair Fall 2019, Lecture Notes in Mathematics, vol. 2290, 177-204.
  28. L. Backes, D. Dragičević, A Rolewicz-type characterization of nonuniform behaviour, Applicable Analysis 100 (2021), 3011-3032.
  29. L. Backes, D. Dragičević, On the spectral radius of compact operator cocycles, Stochastics and Dynamics 21 (2021), 2150026, 16pp.
  30. L. Backes, D. Dragičević, Hyers-Ulam stability for hyperbolic random dynamics, Fundamenta mathematicae 255 (2021), 69-90.
  31. D. Dragičević, On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations, Aequationes Mathematicae 95 (2021), 829-840.
  32. D. Dragičević, Y. Hafouta, Almost sure invariance principle for random dynamical systems via Gouezel's approach, Nonlinearity 34 (2021), 6773-6798.
  33. D. Krizmanić, Maxima of linear processes with heavy-tailed innovations and random coefficients, Journal of Time Series Analysis 43 (2022), 238-262.
  34. D. Krizmanić, A functional limit theorem for moving averages with weakly dependent heavy-tailed innovations, Brazilian Journal of Probability and Statistics 36 (2022), 138-156.
  35. D. Dragičević, A. L. Sasu, 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.
  36. D. Dragičević, A. L. Sasu, B. Sasu, Input-Output Criteria for Stability and Expansiveness of Dynamical Systems, Applied Mathematics and Computation 414 (2022), 126574, 22pp.
  37. L. Backes, D. Dragičević, L. Singh, Shadowing for nonautonomous and nonlinear dynamics with impulses, Monatshefte für Mathematik 198 (2022), 485-502.
  38. D. Dragičević, Global smooth linearization of nonautonomous contractions on Banach spaces, Electronic Journal of Qualitative Theory of Differential Equations (2022), 19pp.
  39. D. Dragičević, W. Zhang, L. Zhou, Admissibility and nonuniform exponential dichotomies, Journal of Differential Equations 326 (2022), 201-226.
  40. D. Dragičević, A. L. Sasu, B. Sasu, On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line, Carpathian Journal of Mathematics 38 (2022), 663-680.
  41. L. Backes, D. Dragičević, A generalized Grobman-Hartman theorem for nonautonomous dynamics, Collectanea Mathematica 73 (2022), 411-431.
  42. D. Dragičević, A. L. Sasu, B. Sasu, L. Singh, Nonuniform Input-Output Criteria for Exponential Expansiveness of Discrete Dynamical Systems and Applications, Journal of Mathematical Analysis and Applications 515 (2022), 126436.
  43. L. Backes, D. Dragičević, M. Pituk, L. Singh, Weighted shadowing for delay differential equations, Archiv der Mathematik 119 (2022), 539-552.
  44. D. Dragičević, A. L. Sasu, B. Sasu, Admissibility and Polynomial Dichotomy of Discrete Nonautonomous Systems, Carpathian Journal of Mathematics 38 (2022), 737-762. 

 Radovi prihvaćeni za objavljivanje:
  1. D. Dragičević, J. Sedro, Statistical stability and linear response for random hyperbolic systems, Ergodic Theory and Dynamical Systems
  2. I. Slamić, A note on l2-linear independence of Gabor systems, Collectanea Mathematica, https://doi.org/10.1007/s13348-022-00349-6
  3. H. Šikić, I. Slamić, Maximal Cyclic Subspaces for Dual Integrable Representations, Journal of Mathematical Analysis and Applications
  4. D. Dragičević, On the robustness property of nonuniform exponential dichotomies, Proceedings of the ICDEA 2021 - Advances in Discrete Dynamical Systems, Difference Equations and Applications, Springer Proceedings in Mathematics & Statistics
  5. L. Backes, D. Dragičević, On the linearization of infinite-dimensional random dynamical systems, Mathematische Nachrichten
  6. D. Dragičević, N. Jurčević Peček, Hyers-Ulam-Rassias stability for nonautonomous dynamics, Rocky Mountain Journal of Mathematics
  7. L. Backes, D. Dragičević, Multiscale linearization of nonautonomous dynamics, Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  8. D. Dragičević, Y. Hafouta, J. Sedro, A vector-valued almost sure invariance principle for random expanding on average cocycles, Journal of Statistical Physics
  9. D. Dragičević, P. Giulietti, J. Sedro, Quenched linear response for smooth expanding on average cocycles, Communications in Mathematical Physics
  10. L. Backes, D. Dragičević, M. Pituk, M. Onitsuka, Conditional Lipschitz shadowing for ordinary differential equations, Journal of Dynamics and Differential Equations
  11. D. Krizmanić, A functional limit theorem for self-normalized linear processes with random coefficients and i.i.d. heavy-tailed innovations, Lithuanian Mathematical Journal 

 Radovi u postupku recenzije:
  1. M. Sošić, The determinant formula for an oriented braid arrangement (2020) 

 Izlaganja na konferencijama, kolokvijima i seminarima:
  1. T. Bosner, B. Crnković, J. Škifić, Approximations by CCC–Schoenberg operators and contour stencils in image resampling, ApplMath18, Šibenik, Hrvatska, 18. rujna 2018. (koautor)
  2. B. Crnković, I. Mezić, J. Škifić, Fast Sweep Method For Computation of Isostables and Isochrons, ApplMath18, Šibenik, Hrvatska, 19. rujna 2018.
  3. I. Slamić, Linear independence for systems generated by dual integrable representations, Aspects of Time-Frequency Analysis, Torino, Italija, 25. - 27. lipnja 2019.
  4. D. Krizmanić, Functional limit theorems for linear processes, 11th International Conference on Extreme Value Analysis, Zagreb, Hrvatska, 1. - 5. srpnja 2019.
  5. M. Sošić, The Varchenko determinant for oriented hyperplane arrangements , ICOMATH 2019 - International Conference on Mathematics "An Istanbul Meeting for World Mathematicians", Istanbul, Turska, 3. - 5. srpnja 2019.
  6. D. Dragičević, Smooth linearization of nonautonomous systems with a nonuniform dichotomy, Equadiff 2019, Leiden, Nizozemska, 8. - 12. srpnja 2019.
  7. D. Dragičević, Limit laws for random hyperbolic dynamical systems, Equadiff 2019, Leiden, Nizozemska, 8. - 12. srpnja 2019. (pozvano predavanje)
  8. D. Dragičević, New characterizations of hyperbolicity for linear cocycles, Dynamics, Equations and Applications, Krakov, Poljska, 16. - 20. rujna 2019. (pozvano predavanje)
  9. I. Slamić, Maximal cyclic subspaces for dual integrable representations, Seminario de Analisis y Aplicaciones UAM-ICMAT, Universidad Autonoma de Madrid, Madrid, Španjolska, 28. veljače 2020.
  10. D. Krizmanić, Joint functional convergence of partial sum and maxima processes, 8th European Congress of Mathematics, Portorož, Slovenija, 20. - 26. lipnja 2021.
  11. I. Slamić (zajednički rad s H. Šikićem), Dual Integrability Condition for Unitary Representations of Locally Compact Groups, 11th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Madrid, Španjolska, 6. -10. lipnja 2022.
  12. I. Slamić (zajednički rad s H. Šikićem), Maximal Cyclic Subspaces for Dual Integrable Representations, 7th Croatian Mathematical Congress, Split, Hrvatska, 15. - 18. lipnja 2022.
  13. D. Krizmanić, On joint weak convergence of partial sum and maxima processes, 7th Croatian Mathematical Congress, Split, Hrvatska, 15. - 18. lipnja 2022.
  14. I. Slamić (zajednički rad s H. Šikićem), Maximal Cyclic Subspaces for Dual Integrable Representations, Applied Harmonic Analysis and Friends, Strobl, Austrija, 19. - 25. lipnja 2022.
  15. D. Krizmanić, Functional convergence of maxima of linear processes with heavy-tailed innovations and random coefficients, 13th International Conference on Extreme Value Analysis, Milano, Italija, 26. - 30. lipnja 2023.
  16. D. Krizmanić, Functional convergence of maxima of linear processes with heavy-tailed innovations and random coefficients, 43rd Conference on Stochastic Processes and their Applications - SPA 2023, Lisabon, Portugal, 24. - 28. srpnja 2023. 

 Gostujući znanstvenici:
  1. P. Giulietti, Scuola Normale Superiore, Pisa, Italija, 7. - 11. siječnja 2019.
  2. K. Palmer, National University of Taiwan, Tajvan, 23. - 27. rujna 2019.