{
  "abstract": "We study statistical properties of nonstationary compositions of a sequence of heterochaos baker maps. For maps whose central direction is mostly expanding, we establish three main results: exponential rate of memory loss for a broad class of measures (Theorem 1.1), a functional correlation bound with stretched exponential decay (Theorem 1.2), and an error bound for the multivariate central limit theorem (CLT) in the Wasserstein-1 distance (Theorem 1.3). The proofs are based on the construction of suitable Gibbs--Markov induced maps for the nonstationary compositions. In a certain special case we obtain a concrete estimate on the rate of convergence in the multivariate CLT (Theorem 1.4).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29135",
  "author_total": 2,
  "authors": [
    {
      "name": "Juho Leppänen"
    },
    {
      "name": "Hiroki Takahasi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d89pwawdes17r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29135",
  "fulltext_url": null,
  "id": "d89pwawdes17r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29135",
  "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",
      "math.DS"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7204966535",
  "pdf_url": "https://arxiv.org/pdf/2608.29135",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d89pwawdes17r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29135",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29135"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Decay of correlations and normal approximation for nonstationary heterochaos baker maps",
  "title_text": "Decay of correlations and normal approximation for nonstationary heterochaos baker maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/d89pwawdes17r",
  "venue": "arXiv",
  "versions": []
}