The Coulomb gas models an interacting system of N negatively charged particles. We give a new proof that, at sufficiently low temperature, smooth linear statistics ∑jφ(xj) are bounded by CN1−2/d.
@article{arxiv.2510.27129,
title = {A simple bound on fluctuations in the 3D Coulomb gas},
author = {Alex Cohen and Felipe Hernández},
journal= {arXiv preprint arXiv:2510.27129},
year = {2025}
}