{
  "annotation_id": "1fcc17f0-09d1-4ea6-bc48-ee300b8e3b40",
  "date_created": "2026-02-17T05:53:20.292000Z",
  "date_modified": "2026-02-17T05:53:20.292000Z",
  "file_hash": "cdb4f027f9f8ecd605b6a851099d20a2926b0937d98fd1492b5e64e19698b9c5",
  "private": false,
  "record": {
    "abstract": "The concepts of hypocoercivity and hypocontractivity and their relationship are studied for semi-dissipative continuous-time and discrete-time evolution equations in a Hilbert space setting. New proofs for the characterization of the short-time decay of the solution from the initial value are presented, that in particular characterize the constants in the leading terms of the solution when expanded in time. Maximally coercive/contractive representations of hypocoercive and hypocontractive semi-dissipative systems are presented, as well as the effect of different representations on the error estimates for the numerical solution.",
    "arxiv_id": "2601.09656",
    "authors": [
      "Anton Arnold",
      "Stefan Egger",
      "Volker Mehrmann",
      "Eduard A. Nigsch"
    ],
    "categories": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Connection of hypocoercivity and hypocontractivity via the Cayley transform",
    "url": "https://arxiv.org/abs/2601.09656",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a8666f6-faac-442b-8545-91373c5c4008",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}