Clustering in co-evolving opinion dynamics: reduced SPDE models
arXiv:2604.27961
Associate Professor, University of Oxford
About
I am an Associate Professor in the Mathematical Institute at the University of Oxford and a Fellow of Worcester College. My research lies at the interface of stochastic analysis, numerical analysis, and interacting particle systems, with particular emphasis on stochastic partial differential equations, fluctuating hydrodynamics, mean-field limits, and structure-preserving numerical methods.
Research
Stochastic partial differential equations
Interacting particle systems and mean-field limits
Dean–Kawasaki and fluctuating hydrodynamics models
Structure-preserving numerical methods for SPDEs
Collective dynamics, opinion formation, and flocking
Geometric and surface (S)PDEs
Publications
arXiv:2604.27961
arXiv:2601.06863
arXiv:2602.16508
arXiv:2512.19201
arXiv:2502.12345
arXiv:2502.20929
To appear in The Annals of Probability, 2026
Stochastics and Partial Differential Equations: Analysis and Computations, 1–34, 2026
Journal of Dynamics and Differential Equations, 1–44, 2026
To appear in Interfaces and Free Boundaries, 2026
Monte Carlo and Quasi-Monte Carlo 2024, Springer, 2026
Stochastic Analysis and Applications, 43(3):1–23, 2025
Proceedings of the Royal Society A, 481(2310):20240675, 2025
APL Quantum, 2(1), 2025
Communications in Applied Mathematics and Computational Science, 20(1):147–174, 2025
Bernoulli, 31(1):561–583, 2025
Journal of Mathematical Sciences, 285:763–772, 2024
SIAM Journal on Numerical Analysis, 62(6):2611–2639, 2024
Stochastics and Partial Differential Equations: Analysis and Computations, 12:2330–2355, 2024
Journal of Physics A: Mathematical and Theoretical, 57(25):255002, 2024
Journal of Differential Equations, 353:268–338, 2023
ESAIM: Mathematical Modelling and Numerical Analysis, 57(5):3113–3138, 2023
Entropy, 24(10):1352, 2022
IMA Journal of Numerical Analysis, 43(4):1970–2000, 2023; published online 2022
SIAM/ASA Journal on Uncertainty Quantification, 9(2):848–879, 2021
Partial Differential Equations and Applications, 2:49, 2021
Communications in Applied Mathematics and Computational Science, 16(1):1–32, 2021
Numerische Mathematik, 146(1):1–49, 2020
SIAM/ASA Journal on Uncertainty Quantification, 6(4):1656–1684, 2018
Interfaces and Free Boundaries, 19(4):525–552, 2017
CV
Contact
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford OX2 6GG
Email: ana.djurdjevac (at) maths.ox.ac.uk