The World Cup is almost here and everyone has an opinion about likely winners. But being mathematicians, we have insisted on looking at the data, and we think we have found the secret to predicting results.

Josh Bull is our analyst in the studio.

Tue, 16 Jun 2026

12:00 - 13:00
C5

Global existence for a cross diffusion system with different mobilities

Charles Elbar
(Université Claude Bernard Lyon 1)
Abstract

We consider a cross diffusion system of two populations, often called the Busenberg-Travis system. The two species are transported by the same pressure gradient with Darcy’s law, modeling overcrowding effect (populations tend to move away from regions of high pressure). However, their mobility is different: the first species moves with mobility 1, whereas the second moves with mobility \nu. The difficulty to prove existence is to prove strong compactness of each densities, which we achieve with a variant of the div-curl lemma applied to evolution PDEs.

Wed, 24 Jun 2026

11:00 - 13:00
L4

Wasserstein Limits for Empirical Measures of Markov Processes

Fengyu Wang
(University of Swansea)
Abstract

In this talk we summary some recent progress on limit theorems for the Wasserstein distance of empirical measures of Markov processes. For symmetric diffusion processes on Riemannian manifold possibly with reflecting or killing boundary, the sharp convergence rate is derived with renormalization limit formulated by using the spectrum of the generator. Moreover, a general framework is established to estimate the convergence rate in Wasserstein distance of empirical measures for ergodic Markov processes.

Bayesian nowcasting with leading indicators applied to COVID-19 fatalities in Sweden.
Bergström, F Günther, F Höhle, M Britton, T PLoS computational biology volume 18 issue 12 e1010767 (07 Dec 2022)
Machine Learning-Based Survival Prediction Models for Progression-Free and Overall Survival in Advanced-Stage Hodgkin Lymphoma.
Rask Kragh Jørgensen, R Bergström, F Eloranta, S Tang Severinsen, M Bjøro Smeland, K Fosså, A Haaber Christensen, J Hutchings, M Bo Dahl-Sørensen, R Kamper, P Glimelius, I E Smedby, K K Parsons, S Mae Rodday, A J Maurer, M M Evens, A C El-Galaly, T Hjort Jakobsen, L JCO clinical cancer informatics volume 8 e2300255 (Apr 2024)
A counterfactual analysis quantifying the COVID-19 vaccination impact in Sweden.
Bergström, F Günther, F Britton, T Vaccine volume 52 126870 (20 Apr 2025)
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