Doc. dr. sc. Davor Dragičević

Odjel za matematiku Zavod za matematičku analizu

e-pošta : ddragicevic@math.uniri.hr

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Obrazovanje

1.1.2010. - 1.1.2012. Doktor znanosti Doktorski studij matematike Instituto Superior Tecnico, Lisabon, Portugal
1.1.2001. - 1.1.2005. Diplomirani inženjer matematike Diplomski studij matematike - smjer: teorijska matematika Matematički odjel PMF, Zagreb

Radno iskustvo

2.7.2018. - docent Nastava matematike i znanstveno istraživanje Odjel za matematiku, Sveučilište u Rijeci
17.9.2015. - 19.12.2017. Poslijedoktorand Znanstveno istrazivanje School of Mathematics and Statistics, University of New South Wales, Sydney, Australia
1.1.2012. - 1.7.2018. Viši asistent Nastava matematike i znanstveno istraživanje Odjel za matematiku, Sveučilište u Rijeci
1.1.2008. - 1.1.2012. Asistent Nastava matematike i znanstveno istraživanje Odjel za matematiku,Sveučilište u Rijeci
1.1.2006. - 1.1.2008. Asistent Nastava matematike i znanstveno istraživanje Filozofski fakultet, Sveučilište u Rijeci

Nagrade i priznanja

20.9.2018. Državna nagrada za znanost za 2017. godinu u kategoriji godišnjih nagrada za znanstvene novake iz područja prirodnih znanosti.
Stipendija za doktorski studij, Fundacao para a Ciencia e a Tecnologia, Portugal
Stipendija za znanstveno istraživanje, Instituto Superior Tecnico, Portugal

Nastavna djelatnost

Kolegiji

- Diferencijalne jednadzbe
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Uvod u topologiju
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematička analiza II
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematika I
Preddiplomski studij politehnike
Filozofski fakultet, Sveučilište u Rijeci
voditelj
Norma sati:
- Matematika I
Preddiplomski studij politehnike
Filozofski fakultet, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematika I
Stručni studij građevinarstva
Građevinski fakultet, Sveučilište u Rijeci
suradnik
Norma sati:
- Vjerojatnost i statistika
Preddiplomski studij informatike
Odjel za informatiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematika III
Preddiplomski studij informatike
Odjel za informatiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Teorija skupova
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematička logika
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Mjera i integral
Diplomski studij Matematika - smjer nastavnički i Diplomski studij Diskretna matematika i primjene
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematička analiza III
Preddiplomski studij matematike
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Vektorski prostori II
Diplomski studij Matematika - smjer nastavnički i Diplomski studij Diskretna matematika i primjene
Odjel za matematiku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematička analiza II
Preddiplomski studij fizike
Odjel za fiziku, Sveučilište u Rijeci
suradnik
Norma sati:
- Matematička analiza I
Preddiplomski studij građevinarstva
Građevinski fakultet, Sveučilište u Rijeci
suradnik
Norma sati:

Izdavaštvo

4.1.2016. - Mjera i integral

Financiranje: Odjel za matematiku

Znanstvena i umjetnička djelatnost

Znanstveni radovi

1. Dragičević, Davor; Zhang, Weinian; Zhang, Wenmeng
Smooth Linearization of Nonautonomous Difference Equations with a Nonuniform Dichotomy
Mathematische Zeitschrift, prihvacen za objavljivanje - 2018. https://link.springer.com/article/10.1007/s00209-018-2134-x

Q1
WOS
Exc

2. Dragičević, Davor
A version of the theorem of Johnson, Palmer and Sell for quasicompact cocycles
Archiv der Mathematik 111 523-534 - 2018. https://link.springer.com/article/10.1007/s00013-018-1220-y

Q2
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3. Dragičević, Davor; Froyland, Gary
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles
Ergodic theory & dynamical systems 38

WOS
Q1

4. Antown, Fadi; Dragičević, Davor; Froyland, Gary
Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems
Journal of Statistical Physics 170 1051-1087 https://link.springer.com/article/10.1007/s10955-018-1985-1

Q1
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5. Dragičević, Davor
Strong nonuniform behaviour: A Datko type characterization
Journal of mathematical analysis and applications 459 266-290 https://www.sciencedirect.com/science/article/pii/S0022247X17309587

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Q1

6. Dragičević, Davor
Datko-Pazy conditions for nonuniform exponential stability
Journal of difference equations and applications 24 344-357 https://www.tandfonline.com/doi/abs/10.1080/10236198.2017.1408609?journalCode=gdea20

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7. Dragičević, Davor; Froyland, Gary; Gonzalez- Tokman, Cecilia; Vaienti, Sandro
A spectral approach for quenched limit theorems for random expanding dynamical systems
Communications in Mathematical Physics 360 1121-1187

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Exc

8. Dragičević, Davor; Froyland, Gary; Gonzalez- Tokman, Cecilia; Vaienti, Sandro.
Almost sure invariance principle for random piecewise expanding maps
Nonlinearity 2252-2280

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Exc

9. Dragičević, Davor
A note on the nonuniform exponential stability and dichotomy for nonautonomous difference equations
Linear algebra and its applications 552 105-126 https://www.sciencedirect.com/science/article/pii/S002437951830212X

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10. Backes, Lucas ; Dragičević, Davor
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
Annales academiae scientiarum fennicae-mathematica, prihvaćen za objavljivanje

Q1
WOS

11. Backes, Lucas; Dragičević, Davor.
Shadowing for nonautonomous dynamics
Advanced Nonlinear Studies, prihvaćen za objavljivanje

Q1
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Exc

12. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Admissibility on the half line for evolution families
Journal d analyse mathematique 132 157-176

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Q1

13. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform Stability of Arbitrary Difference Equations
Results in Mathematics 71 333-346

WOS
Q2

14. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
A version of a theorem of Pliss for nonuniform and noninvertible dichotomies
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 147 225-243

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Q1

15. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Strong nonuniform spectrum for arbitrary growth rates
Communications in contemporary mathematics 19 1-25 http://www.worldscientific.com/doi/abs/10.1142/S0219199716500085

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Exc

16. Dragičević, Davor
A note on the theorem of Johnson, Palmer and Sell
Periodica mathematica Hungarica 75 167-171

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Q2

17. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Lyapunov type characterization of hyperbolic behavior
Journal of Differential Equations 263 3147-3173

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Exc

18. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform exponential dichotomies and Fredholm operators for flows
Aequationes mathematicae 91 301-316

WOS
Q2

19. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform Exponential Dichotomies and Lyapunov Functions
Regular & chaotic dynamics 22 197-209

WOS
Q2

20. Dragičević, Davor.
Lyapunov type equation for discrete exponential trichotomies
Journal of Nonlinear Sciences and Applications 10 2001-2017

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21. Barreira, Luis; Dragičević, Davor; Valls, Claudia
One-sided dichotomies versus two-sided dichotomies: arbitrary growth rates
Quaestiones Mathematicae. 40 381-390

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22. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Existence of conjugacies and stable manifolds via suspensions
Electronic journal of differential equations 2017 1-11

WOS

23. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform spectrum on Banach spaces
Advances in Mathematics 321 547-591

Q1
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Exc

24. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform spectrum on the half line and perturbations
Results in Mathematics 72 125-143 https://link.springer.com/article/10.1007/s10955-018-1985-1

Q2
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25. Abu Alhalawa Muna ; Dragičević, Davor
On spectral characterization of nonuniform hyperbolicity
Journal of Function Spaces 2017 1-8 https://www.hindawi.com/journals/jfs/2017/6707649/

WOS

26. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Spectrum for compact operators on Banach spaces
Journal of the Mathematical Society of Japan, prihvacen za objavljivanje

Q2
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27. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Tempered exponential dichotomies and Lyapunov exponents for perturbations
Communications in Contemporary Mathematics 18 1550058 -1-1550058 -16 http://www.worldscientific.com/doi/abs/10.1142/S0219199715500583

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Q1

28. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Characterization of nonuniform exponential trichotomies for flows
Journal of Mathematical Analysis and Applications 434 376–400 http://www.sciencedirect.com/science/article/pii/S0022247X15008495

WOS
Q2

29. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Fredholm operators and nonuniform exponential dichotomies
Chaos, solitons and fractals. 85 120-127 http://www.sciencedirect.com/science/article/pii/S0960077916300121

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30. Dragičević, Davor; Preda, Ciprian
Lyapunov theorems for exponential dichotomies in Hilbert spaces
International journal of mathematics 27 1650033-1-1650033-13 http://www.worldscientific.com/doi/abs/10.1142/S0129167x16500336

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31. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Admissibility and nonuniformly hyperbolic sets
Electronic Journal of Qualitative Theory of Differential Equations 10 1-15 http://www.math.u-szeged.hu/ejqtde/p4516.pdf

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Q2

32. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Tempered exponential dichotomies: admissibility and stability under perturbations
Dynamical systems-an international journal 31 525-545 http://www.tandfonline.com/doi/abs/10.1080/14689367.2016.1159663#.V0LqcnlJmpo

WOS

33. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform hyperbolicity and one-sided admissibility
Rendiconti Lincei-Matematica e Applicazioni 27 235-247 http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=27&iss=2&rank=4

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Q1

34. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Exponential dichotomies in average for flows and admissibility
Publicationes mathematicae 89 415-439

WOS

35. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Characterization of nonuniform contractions and expansions with growth rates
Mediterranean journal of mathematics 13 4265-4279

WOS
Q2

36. Dragičević, Davor.
A version of a theorem of R. Datko for stability in average
Systems & control letters 96 1-6

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Exc

37. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Positive top Lyapunov exponent via invariant cones: single trajectories
Journal of mathematical analysis and applications 423 480-496 http://www.sciencedirect.com/science/article/pii/S0022247X14009214

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Q1

38. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Characterization of strong exponential dichotomies
Bulletin of the Brazilian Mathematical Society 46 81-103 http://link.springer.com/article/10.1007/s00574-015-0085-y

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Q2

39. Dragičević, Davor
Admissibility, a general type of Lipschitz shadowing and structural stability
Communications on pure and applied analysis 14 861-880 https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10885

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40. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
From one-sided dichotomies to two-sided dichotomies
Discrete and continuous dynamical systems 35 2817-2844 https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10777

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41. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Admissibility and nonuniform exponential trichotomies
Regular & chaotic dynamics 20 49-62 http://link.springer.com/article/10.1134/S1560354715010049

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42. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Admissibility for exponential dichotomies in average.
Stochastics and dynamics 15 1550014-1-1550014-16 http://www.worldscientific.com/doi/abs/10.1142/S0219493715500148?src=recsys

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43. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Exponential dichotomies with respect to a sequence of norms and admissibility
International journal of mathematics 25 1450024-1-1450024-20 http://www.worldscientific.com/doi/abs/10.1142/S0129167X14500244

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44. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Strong and weak (Lp, Lq)-admissibility
Bulletin des Sciences Mathématiques 138 721-741 http://www.sciencedirect.com/science/article/pii/S0007449713001231

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45. Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Nonuniform hyperbolicity and admissibility
Advanced nonlinear studies. 14 791-811 http://www.advancednonlinearstudies.com/ANLS_V14N3art.html

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46. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Lyapunov functions for strong exponential dichotomies
Journal of mathematical analysis and applications 399 116-132 http://www.sciencedirect.com/science/article/pii/S0022247X12008050

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47. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Lyapunov functions for strong exponential contractions
Journal of differential equations 255 449-468 http://www.sciencedirect.com/science/article/pii/S0022039613001496

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48. Barreira, Luis; Dragičević, Davor; Valls, Claudia
Lyapunov Functions and Cone Families
Journal of statistical physics 148 137-163 http://link.springer.com/article/10.1007%2Fs10955-012-0524-8

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49. Dragičević, Davor; Slijepčević, Sinisa
Characterization of hyperbolicity and generalized shadowing lemma
Dynamical systems-an international journal 26 483-502 http://www.tandfonline.com/doi/full/10.1080/14689367.2011.606205

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Znanstvene knjige

1. Autor poglavlja u knjizi
Dragičević, Davor; Preto, Guida; Santos, Pedro Alexandre; Szamotulski, Marcin
On a Question by Markus Seidel
Operator Theory: Advances and Applications Bastos, A. ; Lebre, A. ; Samko, S. ; Rodman, L. Birkhäuser Mathematics Basel - 2014. http://link.springer.com/chapter/10.1007%2F978-3-0348-0816-3_8
2. Autor
Barreira, Luis; Dragičević, Davor; Valls, Claudia.
Admissibility and hyperbolicity
SpringerBriefs in Mathematics Springer International Publishing Basel http://www.springer.com/gp/book/9783319901091

Pozvana predavanja

1. Dragičević, Davor
Neuniformna hiperboličnost i dopustivost
Seminar za diferencijalne jednadzbe i nelinearnu analizu, Fakultet elektrotehnike i računarstva, Zagreb - 6.3.2015.
2. Dragičević, Davor
Neuniformno hiperbolične dihotomije i dopustivost
Kolokvij DMF-a, Rijeka - 30.1.2014.

Kongresna priopćenja

1.
Dragičević, Davor
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles pozvano predavanje The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications Tajvan, Tajland - 8.7.2018.
2.
Dragičević, Davor
Shadowing for nonautonomous dynamics predavanje The 24th International Conference on Difference Equations and Applications Dresden, Njemacka - 22.5.2018.
3.
Dragičević, Davor
Almost sure invariance principle for random piecewise expanding maps pozvano predavanje Systemes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellemen Marseille, Francuska - 20.2.2017. https://www.cirm-math.fr/ProgWeebly/Renc1714/Abstracts1714.pdf
4.
Dragičević, Davor
Spectral characterization of nonuniform behaviour pozvano predavanje 60th Annual Meeting of the Australian Mathematical Society Canberra, Australija - 5.12.2016. http://maths.anu.edu.au/events/austms-meeting-2016
5.
Dragičević, Davor
Limit theorems for random Lasota-Yorke maps using the spectral method pozvano predavanje Advances in Ergodic Theory, Hyperbolic Dynamics & Statistical Laws Canberra, Australija - 28.11.2016. http://mathsfest.amsi.org.au/advances-ergodic-theory-hyperbolic-dynamics-statistical-laws/#program
6.
Dragičević, Davor
Limit theorems for deterministic and random Lasota-Yorke maps using the spectral method pozvano predavanje Dynamical Systems Workshop Brisbane, Australija - 25.11.2016.
7.
Dragičević, Davor
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles predavanje 6th Croatian Mathematical Congress Zagreb, Croatia - 14.6.2016. https://web.math.pmf.unizg.hr/congress15/abstracts.html
8.
Dragičević, Davor
Spectral theory under nonuniform hyperbolicity pozvano predavanje 59th Annual Meeting of the Australian Mathematical Society Adelaide, Australia - 29.9.2015. http://www.mathematics.org.au/sys/talks/talk.php?conf_id=26&talk=2946
9.
Dragičević, Davor
Limit theorems of random dynamical systems via spectral method pozvano predavanje Limit Theorems in Ergodic Theory and Applications Rouen, Francuska http://lmrs.univ-rouen.fr/fr/content/journee-theorie-ergodique-et-theoremes-limites
10.
Dragičević, Davor
Hölder continuity of Oseledets splittings for semi- invertible operator cocycles pozvano predavanje International Conference on Statistical Properties of Nonequilibrium Dynamical Systems Shenzen, Kina http://people.math.umass.edu/~hongkun/abstracts.pdf
11.
Dragičević, Davor
Nonuniform spectrum on Banach spaces pozvano predavanje Equadiff 2017 Bratislava, Slovacka

Znanstveni projekti

1. -
Algebarske i analitičke metode u teoriji brojeva, voditelj: Neven Grbac; istraživač; Sveučilište u Rijeci; ; https://portal.uniri.hr/project/aamtb
2. -
Neautonomni dinamički sustavi: hiperboličnost i statistička svojstva; voditelj; Sveučilište u Rijeci; ;
3. -
Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava; suradnik; Hrvatska zaklada za znanost; ; http://www.hrzz.hr/default.aspx?id=78&pid=2285&rok=2014-09

Stručna djelatnost


Javno djelovanje

Popularizacija znanosti

1. 31.3.2015. - Detalji
Rijecki matematicki susreti
Odjel za matematiku, Sveuciliste u Rijeci