Publications

Papers

1. N. Ayi and N. Pouradier Duteil, Large-population limits of non-exchangeable particle systems, 2024 (Preprint)

2. N. Ayi and N. Pouradier Duteil, Graph limit for interacting particle systems on weighted random graphs, 2023 (Preprint)

3. J. Guilberteau, C. Pouchol, Nastassia Pouradier Duteil, Long-time behaviour of an advection-selection equation, Discrete and Continuous Dynamical Systems - B, 2023 (Preprint, Paper)

4. B. Bonnet, N. Pouradier Duteil, M. Sigalotti, Consensus Formation in First-Order Graphon Models with Time-Varying Topologies, Mathematical Models and Methods in Applied Sciences, 32 (11), pp. 2121-2188, 2022 (Preprint, Paper)

5. J. Guilberteau, C. Pouchol, Nastassia Pouradier Duteil, Monostability and bistability of biological switches, Journal of Mathematical Biology 83, 65, 2021 (Preprint, Paper)

6. N. Pouradier Duteil, Mean-field limit for collective dynamics with time-varying weights, Networks and Heterogeneous Media,  2022 (Preprint, Paper)

7. N. Ayi and N. Pouradier Duteil, Mean-field and graphs limits for collective dynamics models with time-varying weights, Journal of Differential Equations,  2021 (Preprint, Paper)

8.  N. Pouradier Duteil and F. Salvarani, Kinetic approach to the collective dynamics of the rock-paper-scissors binary game, Applied Mathematics and Computation 388, 125496, 2020 (Preprint,  Paper)

9.  S. McQuade, B. Piccoli, and N. Pouradier Duteil. Social dynamics models with time-varying influence, Math. Models Methods Appl. Sci. 29, 681–716, 2019 (Preprint, Paper)

10. B. Piccoli, N. Pouradier Duteil, E. Trélat, Sparse control of Hegselmann-Krause models: Black hole and declustering, SIAM J. Control Optim. 57-4, 2019 (Preprint, Paper)

11. A. Aydogdu, S. McQuade, N. Pouradier Duteil, Opinion dynamics on a general compact Riemannian manifold. Networks and Heterogeneous Media, 12 (3), 2017 (Preprint, Paper)

12. B. Piccoli, N. Pouradier Duteil, B. Scharf, Optimal control of a collective migration model, Math. Methods. Appl. Sci. 26 (02), (2016), 383-417 (Paper)

Conference Proceedings

1. B. Piccoli, N. Pouradier Duteil, Control of collective dynamics with time-varying weights, "Recent advances in kinetic equations and applications", Springer INdAM Series, 2020 (Preprint, Paper).

2. B. Piccoli, N. Pouradier Duteil, and E. Trélat, Sparse control to prevent black swan clustering in collective dynamics, Proceedings of the 2018 IEEE Annual American Control Conference (ACC), pages 955–960, June 2018  (Paper).

3. F. Rossi, N. Pouradier Duteil, N. Yakoby, B. Piccoli, Control of reaction-diffusion equations on time-evolving manifolds, Proceedings of the 2016 IEEE 55th Annual Conference on Decision and Control (Paper)

4. U. Boscain, B. Piccoli, N. Pouradier Duteil, F. Rossi, Developmental Partial Differential Equations, Proceedings of the 2015 IEEE 54th Annual Conference on Decision and Control (Paper)

5. M. Fornasier, B. Piccoli, N. Pouradier Duteil, F. Rossi, Mean-field optimal control by leaders, Proceedings of the 2014 IEEE 53rd Annual Conference on Decision and Control (Paper)

Book Chapters

1. A. Aydogdu, M. Caponigro, S. McQuade, B. Piccoli, N. Pouradier Duteil, F. Rossi, E. Trélat, Interaction network, state space and control in Social Dynamics, In: Active Particles Volume 1: Advances in Theory, Methods and Applications (by N. Bellomo, P. Degond, E. Tadmor Eds.), Birkhauser Basel (2017) (Chapter)

PhD Thesis

N. Pouradier Duteil, Models for Pattern Formation in Biological Systems (2017) (Thesis)