Ivana Valentić
I am a research and teaching assistant at the University of Zagreb, Croatia. I organise an informal, online Doctoral Probability Seminar .
My fields of interest are:- Stochastic Processes,
- Wright-Fisher diffusions,
- Stochastic Homogenization,
- Probability Theory.
Publications/Preprints
- (with P. A. Jenkins, J. Koskela, V. M. Rivero, J. Sant, D. Spano) Excursion theory for Wright--Fisher diffusions, Electron. J. Probab. 30: 1-31, 2025
- Skew-product decomposition of Brownian motion on ellipsoid, Stat. and Prob. Letters. 195:109784, 2023
- (with N. Sandrić) A CLT for degenerate diffusions with periodic coefficients, and application to homogenisation of linear PDEs, J. Differ. Equ. 282:233-271, 2021
- (with N. Sandrić and J. Wang) Periodic homogenization of a Lévy-type process with small jumps, J. Evol. Equ. 21(1):771-803, 2021
Thesis
- Nov 2020, University of Zagreb, Supervisor: Nikola Sandrić , PhD thesis: Periodic homogenization for Lévy-type processes
- Sep 2015, University of Zagreb, Supervisor: Bojan Basrak , master thesis: Razdioba dugih ciklusa i velikih djelitelja
Student project
- 2015, University of Zagreb, Supervisor: Vjekoslav Kovač , (with M. Stipčić) Applications of random dyadic systems to decompositions of functions and operators
Mentoring
I am currently looking for potential PhD candidates. Some topics we might consider:- Convex hull peeling or onion peeling: How would you define a median of a 2-dimensional set of points? Convex hull peeling, or onion peeling, is one method used in the analysis of multivariate datasets. Application of this method on random datasets has attracted considerable attention in the literature, and there has been a focus on the statistical properties of the depth of points independently and uniformly sampled from a bounded convex set. We might consider some more general and realistic settings.
- Excursion theory for different models in mathematical population genetics: Can we look at the stochastic process that models a proportion of a population with a certain gene as a set of excursions from a specific value? Does this tell us more about the process itself? How do mutation or natural selection affect these properties?
- September 2023 Iva Subotičanec: Statistička analiza utjecaja grupnog rada na usvajanje matematičkih sadržaja (with N. Sandrić)
- February 2024 Zrinko Franković: Statistička analiza utjecaja primjene tehnologije na učenje geometrije u osnovnoj školi (with N. Sandrić)
- July 2024 Laura Horvat: Simulacija Wright-Fisherovih difuzija (with N. Sandrić)
Talks
- Jul 17-19, 2023, The SPDEvent 202, University of Bielefeld
Contribution talk - Jul 18-22, 2022, 10th International Conference on Lévy Processes, University of Mannheim
Poster presentation - Jul 16-17, 2022, Summer School of the 10th International Conference on Lévy Processes, University of Mannheim
Contribution talk - Sep 6-10, 2021, 22nd European Young Statisticians Meeting, Athens
Contribution talk - Jun 21-25, 2021, 8th European Congress of Mathematics, University of Primorska
Contribution talk - Jun 1-4, 2021, Modern Stochastics: Theory and Applications V, Taras Shevchenko National University of Kyiv
Poster presentation - Mar 24, 2021, LMS Women in Mathematics Day 2021, University of Plymouth
Contribution talk - Feb 28, 2020, PMF Doctoral Student Symposium, University of Zagreb
Poster presentation - Jul 15-19, 2019, 9th International Conference on Lévy Processes, Department of Statistics and Actuarial-Financial Mathematics of the University of the Aegean
Poster presentation - Jul 8-12, 2019, Satellite Summer School of the 9th International Conference on Lévy Processes (Lévy 2019), National Technical University of Athens
Contribution talk - Apr 29- May 10, 2019, Technische Universität Dresden, Dresden, Germany
Seminar talk
Teaching
Akademska godina 2023/24: Akademska godina 2022/23: Akademska godina 2021/22: Akademska godina 2019/20: Akademska godina 2018/19: Akademska godina 2017/18: Akademska godina 2016/17:- Matematička analiza 1 (prof fiz, inf)
- Matematička analiza 2 (prof fiz, inf)
- Metodika nastave matematike 1
- Metodika nastave matematike 2
- Elementarna geometrija
Contact
Department of Mathematics,
Faculty of Science,
University of Zagreb, Croatia
E-mail: ivana.valentic@math.hr
URL: http://web.math.hr/~ivalentic/
Phone: (+385 1) 4605 879
Room: A311/III (3rd floor)
Inspired by w3-schools.