{
  "abstract": "We establish two general quantitative lower bounds on the gap in the classical BK inequality for increasing events. The first one is an analogue of Talagrand's quantitative FKG inequality (1996), it is a function of the influences. The second one is specific to the BK inequality, it involves both the influences and the probabilities of symmetric disjoint pivots.",
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  "article_type": null,
  "arxiv": "2610.32658",
  "author_total": 1,
  "authors": [
    {
      "name": "Pierre Tesio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a8cc7ghzpqjkz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32658",
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  "id": "a8cc7ghzpqjkz",
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  "landing_url": "https://hal.science/hal-05837398v1",
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  "licence": "CC-BY-4.0",
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  "metadata_licence": "CC0-1.0",
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  "openalex": "W7223648610",
  "pdf_url": "https://hal.science/hal-05837398/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a8cc7ghzpqjkz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
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      "native_id": "2610.32658",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32658"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
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  "title": "How much do increasing events occur disjointly?",
  "title_text": "How much do increasing events occur disjointly?",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/a8cc7ghzpqjkz",
  "venue": "HAL",
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}