Networked collective dynamics in animal ecology and cell biology
Sun, Y
Wang, H
Liu, X
Wen, G
Lin, W
Maini, P
Physics of Life Reviews
volume 57
4-60
(01 Jul 2026)
Synchronization of higher-dimensional Kuramoto oscillators on networks: from scalar to matrix-weighted couplings
Gallo, A
Lambiotte, R
Carletti, T
(09 Mar 2026)
Thu, 26 Mar 2026
15:00 -
17:00
L3
Renormalisation group on Lorentzian manifolds using (p)AQFT
Kasia Rejzner
(University of York)
Abstract
I will start the talk by discussing renormlisation group in perturbative algebraic quantum field theory (pAQFT) and its non-perturbative incarnation acting on the Buchholz-Fredenhagen dynamical C*-algebra. I will also explain how pAQFT can be used to derive functional renormlisation group (FRG) equations that generalize Wetterich equations to globally hyperbolic Lorentzian manifolds and arbitrary states (beyond the usual FRG in the vacuum).
Fri, 19 Jun 2026
11:00 -
12:00
L4
Fri, 12 Jun 2026
11:00 -
12:00
L4
Scaling limits for a population model with growth, division and cross-diffusion
Dr Diane Peurichard
(INRIA Paris)
Abstract
Motivated by the modeling of bacteria microcolony morphogenesis across multiple scales, we explore in this talk models for a spatial population of interacting, growing and dividing particles. Starting from a microscopic stochastic model, we first write the corresponding stochastic differential equation satisfied by the empirical measure, and rigorously derive its mesoscopic (mean-field) limit. We then take an interest in the so-called localization limit, to reach a macroscopic (large-scale) model. The scaling consists in assuming that the range of interaction between individuals is very small compared to the size of the domain. In proving the localization limit using compactness arguments, the difficulties are twofold: first, growth and division render the system non-conservative, preventing the use of energy estimates. Second, the size of the particles, being a continuous trait, leads to new difficulties in obtaining compactness estimates. We first show rigorously the localization limit in the case without growth and fragmentation, under smoothness and symmetry assumptions for the interaction kernel. We then perform a thorough numerical study in order to compare the three modeling scales and study the different limits in situations not covered by the theory yet. These works provide a better understanding of the link between the micro- meso- and macro- scales for interacting particle systems.
Co-authors: Marie Doumic (Ecole Polytechnique and Inria, CMA), Sophie Hecht (CNRS, Sorbonne Université) and Marc Hoffmann ( University Paris-Dauphine )
Fri, 22 May 2026
11:00 -
12:00
L4
Fri, 15 May 2026
11:00 -
12:00
L4