Matthew Rosenzweig

collaborators

8 papers

math.AP2026

Fixed-particle-number optimizers for the Lieb--Oxford inequality

Matthew Rosenzweig

Let $d \geq 1$ , $0 < s < d$ , and $N \geq 1$ . We prove that the optimal fixed-particle-number constant $Λ_{N} (s, d)$ in the Riesz Lieb--Oxford ineq…

math.AP2026

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels

Matthew Rosenzweig, Dejan SlepÄev, Lihan Wang

We study the Wasserstein gradient flow of the squared Maximum Mean Discrepancy (MMD) generated by the nonsmooth energy kernels $K (z) = - ∣ z ∣^{q}$ , $0 < q < 2$ . In dimensions $d \geq 2$ , the co…

math.AP2026

Wasserstein gradient flows for Coulomb discrepancies

Antonin Chodron de Courcel, Matthew Rosenzweig

We study the long-time behavior of the Wasserstein gradient flow of the squared Maximum Mean Discrepancy (MMD) between a probability measure $I ¨ $ and a target measure $I^¼$ , where t…

math.AP2026

Commutators, mean-field, and supercritical mean-field limits for Coulomb/Riesz gases

Matthew Rosenzweig

This paper is intended as a companion to the author's talk "Commutator estimates and mean-field limits for Coulomb/Riesz gases" at the 2025 JournÃ©es Ã©quations aux dÃ©rivÃ©es part…

math.AP2026

Phase transitions and linear stability for the mean-field Kuramoto-Daido model

Kyunghoo Mun, Matthew Rosenzweig

We consider the mean-field noisy Kuramoto-Daido model, which is a McKean-Vlasov equation on the circle with bimodal interaction $W (I^¸) = cos I^¸ + m cos 2 I^¸$ for $m \geq 0$ and interaction…

math.AP2026

Another look at regularity in transport-commutator estimates

Elias Hess-Childs, Matthew Rosenzweig, Sylvia Serfaty

We are interested in how regular a transport velocity field must be in order to control Riesz-type commutators. Estimates for these commutators play a central role in the analysis…