(In progress)
Numerical modeling of flocking dynamics with topological interactions, Marta Menci, Thierry Paul, Stefano Rossi, Tommaso Tenna, preprint (2025).
Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit. Thierry Paul, Stefano Rossi, Emmanuel Trélat, preprint (2024).
Hydrodynamic limit of semideterministic mean field gqmes, Italo Capuzzo Dolcetta and Thierry Paul, preprint (2024).
Quantization and calculus of variations, Thierry Paul, preprint (2024).
Universal approximation of quasilinear PDEs by finite distinguishable particle system, Thierry Paul and Emmanuel Trélat, preprint (2024).
Propagation of chaos for topological models without regularity, Marta Menci, Thierry Paul, and Stefano Ross, to appear in the Proceedings of “Modeling, analysis, and control of multi-agent systems across scales”, EMS Series of Congress Reports.
Lie theory of free cocommutative and commutative cofree Hopf algebras, L. Foissy and F. Patras, preprint (2024)
The Exponential Lie Series and a Chen–Strichartz Formula for Lévy Processes, K. Ebrahimi–Fard, F. Patras, and A. Wiese, preprint (2024)
From microscopic to macroscopic: the large number dynamics of agents and cells, possibly interacting with a chemical background, Thierry Paul, to appear in the Proceedings of “Singularities, Asymptotics and Limiting Models¨, Puglia Summer Trimester 2023 (2024)
From microscopic to macroscopic scale dynamics: mean field, hydrodynamic and graph limits, T. Paul and E. Trélat, preprint (2024)
On Quantum Topologies, hommage à Thomas Kappeler, T. Paul, preprint (2024)
Mean Field Limit for the Kac model and Grand Canonical Formalism, T. Paul, M. Pulvirenti, and S. Simonella, From Particle Systems to Partial Differential Equations 269-287 Springer (2024).
Propagation of chaos and hydrodynamic description for topological models, D. Benedetto, T. Paul, and S. Rossi, Kinetic and Related Models, Vol. 18, 19-34 (2025).
Microscopic, kinetic and hydrodynamic hybrid models of collective motions with chemotaxis: a numerical study, M. Menci,T. Paul and R. Natalini, Mathematics and Mechanics of Complex Systems, Vol. 12 47-84 (2024).
The Mean-Field limit for hybrid models of collective motions with chemotaxis, R. Natalini and T.Paul, SIAM Journal on Mathematical Analysis, Vol. 55 900-928 (2023).
The Triadic Resonant Instability of internal waves in stably stratified fluids, R. Bianchini and T. Paul, preprint (2023).
From microscopic to macroscopic scale dynamics: mean field, hydrodynamic and graph limits, T. Paul and E. Trélat, preprint (2024).
Causality, indeterminism and all that: a quantum entanglement, T. Paul, Proceedings of the conference “CONTEXT, CAUSALITY AND CONSEQUENCES From robust evidence to timely action in biology, ecology, law and public policy”, 26-27 11 2021 Bern Switzerland (2024).