Matthew Rosenzweig

activity

20232026

most citedA sharp commutator estimate for all Riesz modulated energies

2 citations · 5 across the 13 of their papers we have counts for

collaborators

15 papers

math.AP2026

A Jump-Modified Wasserstein Gradient Flow for Maximum Mean Discrepancy with Energy Kernels

Ansh Desai, Jason Liu, Srujan Roplekar +1

We study a jump-modified Wasserstein gradient flow of the squared maximum mean discrepancy generated by the energy kernels $K (z) = - ∣ z ∣^{q}$ , $0 < q < 2$ , in every dimension $d \geq 2$ as wel…

math.AP2026

Global well-posedness and scattering for mass-critical Hartree equation

Zuyu Ma, Changxing Miao, Matthew Rosenzweig +1

In this paper, we prove that the defocusing mass-critical Hartree equation is global well-posed and scatters for any initial data $u_{0} \in L^{2}$ , and prove the analogous result in th…

math.PR2026

Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert--Schmidt regime

Matias G. Delgadino, Rishabh Gvalani, Matthew Rosenzweig

We study fixed-temperature logarithmic and Riesz gases after subtracting the leading mean-field contribution relative to a prescribed background law. For repulsive interactions in…

math.PR2026

Uniform logarithmic Sobolev inequalities for the 2D Coulomb gas at the diffusive temperature scale

Matthew Rosenzweig

For $N \geq 2$ and $β > 0$ , consider the canonical 2D Coulomb gas ensemble \begin{equation} \mathrm{d}\mathbb{P}_{N,β}(Z) =\mathsf{Z}_{N,β}^{-1}e^{-β|Z|^2/2} \prod_{i<j}|z_i-z_j|^{β/N}\…

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 Slepčev, 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 $ρ$ and a target measure $μ$ , where the…

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 Journées équations aux dérivées partiell…

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 $W (θ) = cos θ + m cos 2 θ$ for $m \geq 0$ and interaction st…

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…

math.AP2025★ 2 cited

A sharp commutator estimate for all Riesz modulated energies

Elias Hess-Childs, Matthew Rosenzweig, Sylvia Serfaty

We prove a functional inequality in any dimension controlling the derivative along a transport of the Riesz modulated energy in terms of the modulated energy itself. This modulated…

math.AP2024

The Lake equation as a supercritical mean-field limit

Matthew Rosenzweig, Sylvia Serfaty

We study so-called supercritical mean-field limits of systems of trapped particles moving according to Newton's second law with either Coulomb/super-Coulomb or regular interactions…

math.AP2024★ 2 cited

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Matthew Rosenzweig, Sylvia Serfaty

We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super-Coulomb Riesz modulated energy in terms of the modu…

math.AP2024

Relative entropy and modulated free energy without confinement via self-similar transformation

Matthew Rosenzweig, Sylvia Serfaty

This note extends the modulated entropy and free energy methods for proving mean-field limits/propagation of chaos to the whole space without any confining potential, in contrast t…

math.AP2023★ 1 cited

The attractive log gas: stability, uniqueness, and propagation of chaos

Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty

We consider overdamped Langevin dynamics for the attractive log gas on the torus $T^{d}$ , for $d \geq 1$ . In dimension $d = 2$ , this model coincides…