Publications

Research articles, preprints, proceedings, and surveys by Matthew Rosenzweig.

Preprints

1. Fixed-particle-number optimizers for the Lieb–Oxford inequality, 27 pp. (2026).
2. With D. Slepčev and L. Wang. Wasserstein gradient flows of maximum mean discrepancy with energy kernels, 75 pp. (2026).
3. With A. Chodron de Courcel. Wasserstein gradient flows for Coulomb discrepancies, 34 pp. (2026).
4. With K. Mun. Phase transitions for the noisy transformer model in arbitrary dimension, 18 pp. (2026).
5. With K. Mun. Phase transitions in Doi–Onsager, Noisy Transformer, and other multimodal models, 16 pp. (2026).
6. With K. Mun. Phase transitions and linear stability for the mean-field Kuramoto–Daido model, 41 pp. (2026).
7. With E. Hess-Childs and S. Serfaty. A sharp commutator estimate for all Riesz modulated energies, 45 pp. (2025).
8. With S. Serfaty. Relative entropy and modulated free energy without confinement via self-similar transformation, 30 pp. (2024).
9. With A. Hannani, G. Staffilani, and M.B. Tran. On the wave turbulence theory for a stochastic KdV type equation—generalization for the inhomogeneous kinetic limit, 109 pp. (2022).
10. From Quantum Many-Body Systems to Ideal Fluids, 29 pp. (2021).
11. Global Well-Posedness and Scattering for the Hartree Equation at \(L^2\)-Critical Regularity, 137 pp. (2019).
12. Global Well-Posedness and Scattering for the Elliptic–Elliptic Davey–Stewartson System at \(L^2\)-Critical Regularity, 129 pp. (2018).

Proceedings and surveys

1. Commutators, mean-field, and supercritical mean-field limits for Coulomb/Riesz gases. Journées équations aux dérivées partielles (2025), Talk no. 7, 32 pp. doi:10.5802/jedp.698.

Published papers

1. With E. Hess-Childs and S. Serfaty. Another look at regularity in transport-commutator estimates. Comptes Rendus. Mathématique 364 (2026), 437–478. doi:10.5802/crmath.837.
2. With S. Serfaty. Modulated logarithmic Sobolev inequalities and generation of chaos. Ann. Fac. Sci. Toulouse Math. (6) 34 (2025), no. 1, 107–134. doi:10.5802/afst.1807.
3. With A. Chodron de Courcel and S. Serfaty. The attractive log gas: stability, uniqueness, and propagation of chaos. Commun. Am. Math. Soc. 5 (2025), 695–773. doi:10.1090/cams/55.
4. With A. Chodron de Courcel and S. Serfaty. Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows. Ann. Inst. H. Poincaré C Anal. Non Linéaire 42 (2025), no. 2, 391–472. doi:10.4171/AIHPC/105.
5. With J.K. Miller, A.R. Nahmod, N. Pavlović, and G. Staffilani. A Rigorous Derivation of the Hamiltonian Structure for the Vlasov Equation. Forum Math. Sigma 11 (2023), Paper No. e77. doi:10.1017/fms.2023.72.
6. With S. Serfaty. The Lake equation as a supercritical mean-field limit. J. Éc. polytech. Math. 12 (2025), 1019–1068. doi:10.5802/jep.305.
7. With S. Serfaty. Sharp commutator estimates of all order for Coulomb and Riesz modulated energies. Comm. Pure Appl. Math. 79 (2026), no. 2, 207–292. doi:10.1002/cpa.70010.
8. With G. Staffilani. Global Solutions of Aggregation Equations and Other Flows with Random Diffusion. Probab. Theory Related Fields 185 (2023), no. 3–4, 1219–1262. doi:10.1007/s00440-022-01171-8.
9. With S. Serfaty. Global-in-time mean-field convergence for singular Riesz-type diffusive flows. Ann. Appl. Probab. 33 (2023), no. 2, 954–998. doi:10.1214/22-AAP1833.
10. With Q.H. Nguyen and S. Serfaty. Mean-field limits of Riesz-type singular flows. Ars Inven. Anal. (2022), Paper No. 4, 45 pp. doi:10.15781/NVV7-JY87.
11. On the Rigorous Derivation of the Incompressible Euler Equation from Newton’s Second Law. Lett. Math. Phys. 113 (2023), no. 1, Paper No. 13. doi:10.1007/s11005-023-01630-w.
12. With G. Staffilani. Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory. Phys. D 433 (2022), Paper No. 133148, 16 pp. doi:10.1016/j.physd.2021.133148.
13. The Mean-Field Limit of Stochastic Point Vortex Systems with Multiplicative Noise, 34 pp. (2020), accepted by Comm. Pure Appl. Math.
14. The mean-field approximation for higher-dimensional Coulomb flows in the scaling-critical \(L^\infty\) space. Nonlinearity 35 (2022), no. 6, 2722–2766. doi:10.1088/1361-6544/ac5fd6.
15. Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). Arch. Ration. Mech. Anal. 243 (2022), no. 3, 1361–1431. doi:10.1007/s00205-021-01735-3.
16. With S. Aryan and G. Staffilani. Trend to equilibrium for flows with random diffusion. Int. Math. Res. Not. IMRN (2024), no. 10, 8764–8781. doi:10.1093/imrn/rnae013.
17. The Mean-Field Limit of the Lieb–Liniger Model. Discrete Contin. Dyn. Syst. 42 (2022), no. 6, 3005–3037. doi:10.3934/dcds.2022006.
18. With D. Mendelson, A.R. Nahmod, N. Pavlović, and G. Staffilani. Poisson commuting energies for a system of infinitely many bosons. Adv. Math. 406 (2022), Paper No. 108525, 148 pp. doi:10.1016/j.aim.2022.108525.
19. With D. Mendelson, A.R. Nahmod, N. Pavlović, and G. Staffilani. A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation. Adv. Math. 365 (2020), 107054, 115 pp. doi:10.1016/j.aim.2020.107054.
20. Justification of the Point Vortex Approximation for Modified Surface Quasi-Geostrophic Equations. SIAM J. Math. Anal. 52 (2020), no. 2, 1690–1728. doi:10.1137/19M1262620.