{
  "annotation_id": "0a4a6e2d-d1ca-4613-b4ab-a7899156c6c0",
  "date_created": "2026-02-17T05:53:24.065000Z",
  "date_modified": "2026-02-17T05:53:24.065000Z",
  "file_hash": "d8a5f6c68bb7494d591ada11ea6d6ff44ae26135f5456051f25cf64d681ee055",
  "private": false,
  "record": {
    "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.",
    "arxiv_id": "2601.10568",
    "authors": [
      "Gabriel S. Nahum"
    ],
    "categories": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Hydrodynamic Limit with a Weierstrass-type result",
    "url": "https://arxiv.org/abs/2601.10568",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a83775e0-fc0a-4b1f-b031-a468c630157f",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}