Kyoto University Institute for the
Advanced Study of Human Biology


Antoine Diez

Antoine Diez

研究者 (Seirin G)

Research Field
Applied Mathematics
Personal Website


Mathematical modelling of emergent phenomena

An important part of my work is devoted to multi-scale models of collective dynamics and in particular on the problem of emergence of self-organisation under various geometrical constraints. I work on both PDE models (with a special focus on kinetic PDEs) and stochastic models and, often, a combination of both. I have a special interest for the study of systems of interacting particles, their scaling limits and their applications from a biological perspective.
More generally, I am interested in mathematical models of self-organisation for life sciences, their rigorous analysis and numerical simulation.


Antoine Diez obtained his PhD in Mathematics from Imperial College London (2022). Before that, he was a student at the École Normale Supérieure de Rennes (France) from which he graduated with a BSc in Mathematics, a BSc in Physics and where he obtained the French Agrégation. He earned a MSc in Mathematics from the École Normale Supérieure de Lyon (France) (2018). He was appointed as program-specific researcher at ASHBi in May 2022.


L.-P. Chaintron, A. Diez, ‘‘Propagation of chaos: a review of models, methods and applications’’, to appear in Kinet. Relat. Models, arXiv preprint arXiv:2203.00446 and arXiv:2106.14812, 2022.

M. Briant, A. Diez, S. Merino-Aceituno, ‘‘Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations’’, SIAM J. Math. Anal. 54(1), 2022.

P. Degond, A. Diez, A. Frouvelle, ‘‘Body-attitude coordination in arbitrary dimension’’, arXiv preprint arXiv:2111.05614, 2021

A. Diez, ‘‘SiSyPHE: A Python package for the Simulation of Systems of interacting mean-field Particles with High Efficiency’’, Journal of Open Source Software, 6(65), 3653, 2021.

P. Degond, A. Diez, M. Na, ‘‘Bulk topological states in a new collective dynamics model’’, to appear in SIAM J. Appl. Dyn. Syst., arXiv preprint arXiv:2101.10864, 2021.

G. Clarté, A. Diez, J. Feydy, ‘‘Collective proposal distributions for nonlinear MCMC samplers: Mean-field theory and fast implementation’’, arXiv preprint arXiv:1909.08988, 2020.

A. Diez, ‘‘Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles’’, Electron. J. Probab. 25, 2020.

P. Degond, A. Diez, A. Frouvelle, S. Merino-Aceituno, ‘‘Phase transitions and macroscopic limits in a BGK model of body-attitude coordination’’, J. Nonlinear Sci. 30 pp. 2671-2736, 2020.

Contact A.Diez