Characterising cancer cell responses to cyclic hypoxia using mathematical modelling
Celora, G
Nixson, R
Pitt-Francis, J
Maini, P
Byrne, H
(2024)
Approximate solutions of a general stochastic velocity-jump model
subject to discrete-time noisy observations
Ceccarelli, A
Browning, A
Baker, R
(28 Jun 2024)
http://arxiv.org/abs/2406.19787v4
subject to discrete-time noisy observations
The handlebody group is a virtual duality group
Petersen, D
Wade, R
(24 May 2024)
http://arxiv.org/abs/2405.15515v1
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
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.
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.
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)
In this case study I report on a collaboration with Mo Dick Wong (Durham University), in the area of analytic and probabilistic number theory. We studied questions on a random model for the Möbius $\mu$ function. This function is one of the most elusive functions in number theory, and encodes deep questions on primes. Let's define it properly.