Augmentations of Forman’s Ricci curvature and their applications in community detection
Fesser, L Serrano de Haro Iváñez, S Devriendt, K Weber, M Lambiotte, R Journal of Physics: Complexity volume 5 issue 3 (12 Aug 2024)
On AdS 4 deformations of celestial symmetries
Bittleston, R Bogna, G Heuveline, S Kmec, A Mason, L Skinner, D Journal of High Energy Physics volume 2024 issue 7 (02 Jul 2024)
Mon, 25 Nov 2024
16:30
L4

Infinite Dyson Brownian Motion as a Gradient Flow

Kohei Suzuki (Durham)
Abstract

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. 

Travelling waves in a minimal go-or-grow model of cell invasion
Falcó I Gandia, C Crossley, R Baker, R Applied Mathematics Letters volume 158 (04 Jul 2024)
Six titles in mixed script
So what have these six things got in common?
 

They are the subject of Oxford Mathematics postgraduate student theses, displaying how much ground maths can cover. You can watch the six students present their research in just one slide in our 3-Minute Thesis Competition.

Tipping point in ice-sheet grounding-zone melting due to ocean water intrusion
Bradley, A Hewitt, I Nature Geoscience 1-7 (25 Jun 2024)
Physique de la morphogenèse des coquilles de mollusques
Moulton, D Goriely, A Chirat, R Reflets de la physique issue 78 18-23 (25 May 2024)
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