{
  "abstract": "We derive lower and upper bounds on the identification capacity of inverse Gaussian (IG) channels, a fundamental model for molecular communications in fluid environments. The analysis considers deterministic encoding schemes under a peak time constraint and characterizes the asymptotic growth of optimal codebook sizes. In the converse, by leveraging the Borel-Cantelli lemma and the super-exponential near-zero tail behavior of the IG distribution, we establish an almost-sure lower bound on the first-passage time of drifting diffusing molecules. This leads to the conclusion that the identification capacity exhibits super-exponential growth with the codeword length $n$, i.e., $\\sim 2^{(n \\log n)R_n}$, where $R_n$ is the coding rate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.06103",
  "author_total": 2,
  "authors": [
    {
      "name": "Mohammad Javad Salariseddigh"
    },
    {
      "name": "Christian Deppe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a2mdqha5061a7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.06103",
  "fulltext_url": null,
  "id": "a2mdqha5061a7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.06103",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2204|Molecular Communication and Nanonetworks"
    ]
  ],
  "openalex": "W7160614283",
  "pdf_url": "https://arxiv.org/pdf/2605.06103",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a2mdqha5061a7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2605.06103",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.06103"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Identification for Inverse Gaussian Channels",
  "title_text": "Identification for Inverse Gaussian Channels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/a2mdqha5061a7",
  "venue": "arXiv",
  "versions": []
}