Dr Alexandra Holzinger
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity.
José A. Carrillo, Shuchen Guo and Alexandra Holzinger, arXiv preprint arXiv:2501.03087, 2025.
https://arxiv.org/pdf/2501.03087
Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime.
Li Chen, Esther Daus, Alexandra Holzinger and Ansgar Jüngel. arXiv preprint arXiv:2405.15128, 2024.
https://arxiv.org/pdf/2405.15128
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
Li Chen, Esther Daus, Alexandra Holzinger and Ansgar Jüngel. Journal of Nonlinear Science 31 (2021): 1-38.
https://link.springer.com/article/10.1007/s00332-021-09747-9
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel and Nicola Zamponi. Communications in Partial Differential Equations 47.11 (2022): 2217-2269.
https://www.tandfonline.com/doi/pdf/10.1080/03605302.2022.2118608
A comprehensive algorithm for estimating lithium-ion battery parameters from measurements
Dominik Dvorak, Thomas Bäuml, Alexandra Holzinger, and Hartmut Popp. IEEE Transactions on Sustainable Energy 9.2 (2017): 771-779.
https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8239853
2025: I am honoured to have been selected as one of 20 young mathematicians for a membership in the 2025-2028 cohort of the European Mathematical Society (EMS) Young Academy.
2023: Best Paper Award, Faculty of Mathematics, TU Wien
2023: Hannspeter Winter Award for my PhD thesis
My research focuses on the connection between (stochastic) interacting microscopic particle models and non-linear partial differential equations which represent the corresponding macroscopic levels.
In particular, I am interested in questions which arise naturally when dealing with micro/macro connections like well-posedness of the underlying non-linear PDEs, connections between different convergence types of the particles systems and fluctuations around the macroscopic description. Additionally, I am interested in applications of those mathematical concepts to frameworks coming from biology or neuroscience.