The Vicky Neale Public Lecture recognises the invaluable contribution to mathematical education of the late Vicky Neale. In this lecture, economist and broadcaster Tim Harford looks at how data built the modern world - and how we can use it to build a better one.
5pm, Wednesday 10 July, 2024
Mathematical Institute,Oxford
The Dyson Brownian motion (DMB) is a system of interacting Brownian motions with logarithmic interaction potential, which was introduced by Freeman Dyson '62 in relation to the random matrix theory. In this talk, we discuss the case where the number of particles is infinite and show that the DBM induces a diffusion structure on the configuration space having the Bakry-Émery lower Ricci curvature bound. As an application, we show that the DBM can be realised as the unique Benamou-Brenier-type gradient flow of the Boltzmann-Shannon entropy associated with the sine_beta point process.
Gui-Qiang G. Chen is awarded the Pólya Prize for his deep research into nonlinear partial differential equations, and in particular his rigorous theoretical analysis of the equations of gas dynamics, especially those involving transonic flows.
