A clip from Robin Wilson's series on the equations that made mathematics. You can have a peep at all the talks so far.
The EPSRC Doctoral Studentships in Mathematics and Statistics Innovation at Heriot Watt University are now open for applications.
EPSRC Doctoral PhD studentships roles are funded by the Engineering and Physical Sciences Research Council (EPSRC) as part of Heriot-Watt University’s Doctoral Training Partnership award.
Health inequalities in risk of SARS-CoV-2 infection in England's second wave: population-based cross-sectional analysis from the REACT-1 study
Wang, H
Ainslei, K
Walters, C
Eales, O
Haw, D
Atchison, C
Fronterre, C
Diggle, P
Ashby, D
Cooke, G
Barclay, W
Ward, H
Darzi, A
Donnelly, C
Riley, S
Elliott, P
BMJ Public Health
Here's the latest (and some cover versions).
Thu, 19 Feb 2026
12:00 -
13:00
C5
Finite-Time and Stochastic Flocking in Cucker–Smale Systems with Nonstandard Dissipation
Dr. Fanqin Zeng
Abstract
The Cucker--Smale model provides a classical framework for the mathematical study of collective alignment in interacting particle systems. In its standard form, alignment is typically asymptotic and relies on strong interaction assumptions.
We first consider stochastic Cucker--Smale particle systems driven by truncated multiplicative noise. A key difficulty is to control particle positions uniformly in time, since the truncated noise destroys the conservation of the mean velocity. By working in a comoving frame and adapting arguments from deterministic flocking theory, we obtain stochastic flocking together with uniform-in-time $L^\infty$ bounds on particle positions. We also derive quantitative stability estimates in the $\infty$-Wasserstein distance, which allow us to pass to the mean-field limit and obtain corresponding flocking results for the associated stochastic kinetic equation.
We then study an infinite-particle Cucker--Smale system with sublinear, non-Lipschitz velocity coupling under directed sender networks. While classical energy methods only yield asymptotic alignment, a componentwise diameter approach combined with Dini derivative estimates leads to finite-time flocking for both fixed and switching sender networks. The resulting flocking-time bounds are uniform in the number of agents and apply to both finite and infinite systems.