{
  "abstract": "In this paper, we investigate the weak invariance principle in some Besov spaces for strictly stationary sequences. In particular, we provide sufficient conditions on the moments and the dependence of a strictly stationary sequence to guaranty the weak invariance principle in these Besov spaces. Several dependence structures are considered, including projective conditions, $α$-dependent, $ρ$-mixing, and $τ$ -dependent conditions. The main tools in the proofs are martingale approximation and deviation inequalities for weakly dependent sequences. Our results cover a large range of strictly stationary sequences that were not treated previously in the literature. Moreover, the presented conditions are sharp.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13515",
  "author_total": 2,
  "authors": [
    {
      "name": "Davide Giraudo"
    },
    {
      "name": "Sadillo Sharipov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/drnwnx7v1y8d6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13515",
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  "id": "drnwnx7v1y8d6",
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  "landing_url": "https://hal.science/hal-05788591v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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  "openalex": "W7221491678",
  "pdf_url": "https://hal.science/hal-05788591/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/drnwnx7v1y8d6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:52Z",
      "native_id": "hal-05788591",
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      "url": "https://hal.science/hal-05788591v1"
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      "native_id": "2610.13515",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13515"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "On the weak invariance principle for strictly stationary sequences in some Besov spaces",
  "title_text": "On the weak invariance principle for strictly stationary sequences in some Besov spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/drnwnx7v1y8d6",
  "venue": "HAL",
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}