Elias Hess-Childs

activity

20192026

most citedHigher-order propagation of chaos in

L^{2}

for interacting diffusions

7 citations · 9 across the 11 of their papers we have counts for

collaborators

Showing math.APShow all

6 papers · 1 filter

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.AP2025

Turbulent and intermittent phenomena in a universal total anomalous dissipator

Elias Hess-Childs, Keefer Rowan

For all $α \in (0, 1)$ , we construct an explicit divergence-free vector field $V \in L^{\infty} ([0, 1], C^{α} (T^{2}))$ that exhibits universal anomalous (total) dissipation, acceler…

math.AP2025

Divergence-free drifts decrease concentration

Elias Hess-Childs, Renaud Raquépas, Keefer Rowan

We show that bounded divergence-free vector fields $u : [0, \infty) \times R^{d} \to R^{d}$ decrease the ''concentration'', quantified by the modulus of absolute contin…

math.AP2025

A universal total anomalous dissipator

Elias Hess-Childs, Keefer Rowan

For all $α \in (0, 1)$ , we construct an explicit divergence-free vector field $V \in L_{t}^{\infty} C_{x}^{α} \cap C_{t}^{\frac{α}{1 - α}} L_{x}^{\infty}$ so that the solutions to the drift-diffusion equ…

math.AP2019

On the Strong Attraction Limit for a Class of Nonlocal Interaction Energies

Almut Burchard, Rustum Choksi, Elias Hess-Childs

This note concerns the problem of minimizing a certain family of non-local energy functionals over measures on $R^{n}$ , subject to a mass constraint, in a strong attraction…