3 papers
math.PR2026
Mean-field limits à la Tanaka and large deviations for particle systems with network interactions
Louis-Pierre Chaintron, Antoine Diez
This article proposes a unified framework to study non-exchangeable mean-field particle systems with some general interaction mechanisms. The starting point is a fixed-point formul…
q-bio.QM2026
Multicellular simulations with shape and volume constraints using optimal transport
Antoine Diez, Jean Feydy
Many living and physical systems such as cell aggregates, tissues or bacterial colonies behave as unconventional systems of particles that are strongly constrained by volume exclus…
math.AP2025
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…