{
  "annotation_id": "a16e24ca-64b6-460f-900d-08068abeb001",
  "date_created": "2026-03-02T18:02:06.643000Z",
  "date_modified": "2026-03-02T18:02:06.643000Z",
  "file_hash": "ced11ec00e2beb48c3beb1de8bed2d08efe63c3134c184ad027ea8f20f0a2a6c",
  "private": false,
  "record": {
    "abstract": "A fast and efficient numerical-analytical approach is proposed for modeling\ncomplex behaviour in the BBGKY hierarchy of kinetic equations. We construct the\nmultiscale representation for hierarchy of reduced distribution functions in\nthe variational approach and multiresolution decomposition in polynomial tensor\nalgebras of high-localized states. Numerical modeling shows the creation of\nvarious internal structures from localized modes, which are related to\nlocalized or chaotic type of behaviour and the corresponding patterns\n(waveletons) formation. The localized pattern is a model for energy confinement\nstate (fusion) in plasma.",
    "arxiv_id": "quant-ph/0406009",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.plasm-ph"
    ],
    "doi": "10.1016/j.nima.2004.07.107",
    "title": "Classical and Quantum Ensembles via Multiresolution. I. BBGKY Hierarchy",
    "url": "https://arxiv.org/abs/quant-ph/0406009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6636fd38-5410-42f4-b78a-634a3db38e13",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}