Antoine Diez

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.

着任日

2022年5月1日