Complex-Weighted Convolutional Networks: Provable Expressiveness via Complex Diffusion
Amado, C
Schwarz, T
Tian, Y
Lambiotte, R
(17 Nov 2025)
Thu, 11 Jun 2026
14:00 -
15:00
Lecture Room 3
Topology-preserving discretization for the magneto-frictional equations arising in the Parker conjecture
He, M
Farrell, P
Hu, K
Andrews, B
SIAM Journal on Scientific Computing
Algebraic aspects of homogeneous Kuramoto oscillators
Harrington, H
Schenck, H
Stillman, M
Mathematics of Computation
Calibrating the GAMIL3-1° climate model using a derivative-free optimization method
Liang, W
Tett, S
Li, L
Cartis, C
Xu, D
Dong, W
Huang, J
Geoscientific Model Development
volume 18
issue 23
9293-9318
(02 Dec 2025)
On the role of fractional Brownian motion in models of chemotaxis and stochastic gradient ascent
Cornejo-Olea, G
Buvinic, L
Darbon, J
Erban, R
Ravasio, A
Matzavinos, A
(24 Nov 2025)
Thu, 12 Feb 2026
14:00 -
15:00
Lecture Room 3
The Dean–Kawasaki Equation: Theory, Numerics, and Applications
Prof Ana Djurdjevac
(Mathematical Institute - University of Oxford)
Abstract
Professor Ana Djurdjevac will talk about; 'The Dean–Kawasaki Equation: Theory, Numerics, and Applications'
The Dean–Kawasaki equation provides a stochastic partial differential equation description of interacting particle systems at the level of empirical densities and has attracted considerable interest in statistical physics, stochastic analysis, and applied modeling. In this work, we study analytical and numerical aspects of the Dean–Kawasaki equation, with a particular focus on well-posedness, structure preservation, and possible discretization strategies. In addition, we extend the framework to the Dean–Kawasaki equation posed on smooth hypersurfaces. We discuss applications of the Dean–Kawasaki framework to particle-based models arising in biological systems and modeling social dynamics.