| Research interests |
| Fractal geometry, stochastic processes on graphs and fractals. |
| Publications |
H. Balsam, K. Kaleta, M. Olszewski, K. Pietruska-Pałuba - Density of states for the Anderson model on nested fractals
Analysis and Mathematical Physics 14 (2), 2024, 23 [online] |
M. Olszewski - Estimates of the transition densities for the reflected Brownian motion on simple nested fractals
Probability and Mathematical Statistics 39 (2), 2019, 423-440 [online] |
K. Kaleta, M. Olszewski, K. Pietruska-Pałuba - Reflected Brownian motion on simple nested fractals
Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society 27 (6), 2019, 1950104 1-29 [online] |
| Preprints |
| H. Balsam, K. Kaleta, M. Olszewski, K. Pietruska-Pałuba - IDS for subordinate Brownian motions in Poisson random environment on nested fractals |
| M. Nieradko, M. Olszewski - Good labelling property of simple nested fractals, to appear in Journal of Fractal Geometry [arXiv] |
| Conferences |
| Probability and Analysis, Wrocław, 19-23.09.2022 (member of the organizing committee) |
| Probability and Analysis, Będlewo, 20-24.05.2019 (member of the organizing committee) |
| Fractal Geometry and Stochastics 6, Bad Herrenalb, 1-5.10.2018 |
| Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society, Wrocław, 17-20.09.2018 (member of the organizing committee) |
| Probabilistic Aspects of Harmonic Analysis, Będlewo, 6-12.05.2018 |
| Workshop on Jump Processes and Stochastic Analysis, Dresden, 1-2.09.2017 |
| 8th International Conference on Lévy processes, Angers, 25-29.07.2016 |
| Summer School on Lévy processes, Lille, 18-22.07.2016 |
| 3rd Conference on Nonlocal Operators and Partial Differential Equations, Będlewo, 27.06-1.07.2016 |
| XIV Konferencja z Probabilistyki, Będlewo, 30.05-3.06.2016 |
| Probabilistic Aspects of Harmonic Analysis, Będlewo, 14-21.05.2016 |
Ogólnopolska Matematyczna Konferencja Studentów "O MatKo", Wrocław, 24-26.04.2015
|
| Master's thesis |
Błądzenie losowe na grafie Sierpińskiego (2015)
Supervisor: Kamil Kaleta |
| Doctoral dissertation |
Stochastic processes on fractals and in random media (2020)
Supervisor: Kamil Kaleta |