Some keywords:

• Mathematical biology
• Modelling with Partial Differential Equations
• Self-organisation
• Kinetic theory
• Large systems of interacting self-propelled particles
• Stochastic processes, measure-valued processes
• Mean-field models, Propagation of chaos
• Particle methods, MCMC
• Geometrically enriched models in biology
• Collective dynamics: Vicsek-type models, Body-Orientation models
• Numerical simulations and GPU computing

Publications and preprints

All the author lists are sorted in alphabetical order except when indicated by ^†.

1. A. Diez, J. Feydy, An optimal transport model for dynamical shapes, collective motion and cellular aggregates, arXiv preprint: arxiv.2402.17086, 2024. [Preprint], [GitHub repository] [Supplementary videos]
2. P. Degond, A. Diez, Topological travelling waves of a macroscopic swarmalator model in confined geometries, Acta Appl Math 188(18), 2023. [Article] [Preprint], [GitHub repository and supplementary]
3. A. Diez^†, A. Krause, P. Maini, E. Gaffney, S. Seirin-Lee, Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry, Bull. Math. Biol. 86 (2), 2024. [Article], [GitHub repository]
4. P. Degond, A. Diez, A. Walczak, Topological states and continuum model for swarmalators without force reciprocity, Anal. Appl. (Singap.) 20(6) pp.1215-1270, 2022. [Article], [Preprint], [GitHub repository], [Supplementary]
5. P. Degond, A. Diez, A. Frouvelle, Body-attitude coordination in arbitrary dimension, arXiv preprint arXiv:2111.05614 (To appear in Panorama et Synthèses), 2021. [Preprint]
6. 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. [Article]
7. L.-P. Chaintron, A. Diez, Propagation of chaos: a review of models, methods and applications,
   • I. Models and Methods , Kinet. Relat. Models, 15(6) pp. 895-1015, 2022. [Article], [Preprint]
   • II. Applications , Kinet. Relat. Models, 15(6) pp. 1017-1173, 2022. [Article], [Preprint]
8. 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. [Documentation], [GitHub repository], [Article]
9. P. Degond, A. Diez, M. Na, Bulk topological states in a new collective dynamics model, SIAM J. Appl. Dyn. Syst. 21(2), 2022. [Article], [Preprint]
10. G. Clarté, A. Diez, J. Feydy, Collective proposal distributions for nonlinear MCMC samplers: Mean-field theory and fast implementation, Electron. J. Statist. 16(2) pp. 6395-6460, 2022. [Article]
11. A. Diez, Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles, Electron. J. Probab. 25, 2020. [Article]
12. 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. [Article]