Approximate solutions of a general stochastic velocity-jump model subject to discrete-time noisy observations
 Ceccarelli, A Browning, A Baker, R (28 Jun 2024) https://arxiv.org/abs/2406.19787v4
Approximate solutions of a general stochastic velocity-jump model subject to discrete-time noisy observations
 Ceccarelli, A Browning, A Baker, R (28 Jun 2024) https://arxiv.org/abs/2406.19787v4
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) doi:10.1088/2632-072x/ad64a3
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) doi:10.1088/2632-072x/ad64a3
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) doi:10.1007/jhep07(2024)010
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. 

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