{
  "annotation_id": "53ebb6a5-745a-40f1-9bfa-3fd1d7296a3e",
  "date_created": "2026-03-02T18:00:53.413000Z",
  "date_modified": "2026-03-02T18:00:53.413000Z",
  "file_hash": "d615e8256759c52c2279ce3632a5f5c8e9ad4f6362cc6f07670d2e0df3053f37",
  "private": false,
  "record": {
    "abstract": "Scaling analysis of seismicity in the space-time-magnitude domain very often\nstarts from the relation N(m,L)=a(L)*10**(-bm)*L**c for the rate of seismic\nevents of magnitude M\u003em in an area of size L. There are some evidences in favor\nof multifractal property of seismic process. In this case the choice of the\nscale exponent \u0027c\u0027 is not unique. It is shown how different \u0027c\u0027\u0027s are related\nto different types of spatial averaging applied to lambda(m, L) and what are\nthe \u0027c\u0027\u0027s for which the distributions of a(L) best agree for small L.\nTheoretical analysis is supplemented with an analysis of California data for\nwhich the above issues were recently discussed on an empirical level.",
    "arxiv_id": "physics/0409142",
    "authors": [
      "G. Molchan",
      "T. Kronrod"
    ],
    "categories": [
      "physics.geo-ph"
    ],
    "title": "On the Frequency-magnitude Law for Fractal Seismicity",
    "url": "https://arxiv.org/abs/physics/0409142"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5275a337-5810-433c-9095-d1d8af4eb331",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}