Hydrodynamic Limit with a Weierstrass-type result
Probability
2026-01-26 v2
Abstract
We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle system. The proof relies on the construction of an appropriate model and on the entropy method.
Keywords
Cite
@article{arxiv.2601.10568,
title = {Hydrodynamic Limit with a Weierstrass-type result},
author = {Gabriel S. Nahum},
journal= {arXiv preprint arXiv:2601.10568},
year = {2026}
}
Comments
Version 2: added missing references and improved introductory exposition