{
  "id": "2109.05560",
  "version": "v1",
  "published": "2021-09-12T16:52:30.000Z",
  "updated": "2021-09-12T16:52:30.000Z",
  "title": "Local limit theorems for inhomogeneous Markov chains",
  "authors": [
    "Dmitry Dolgopyat ans Omri Sarig"
  ],
  "comment": "212 pages",
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We prove the Local Limit Theorems for bounded additive functionals of uniformly elliptic inhomogeneous Markov arrays. As an application we obtain the precise asymptotics in the large deviation regime for bounded additive functionals of uniformly elliptic Markov chains. The proofs rely on new reduction theorems for Markov arrays.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-12T16:52:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60J05"
    ],
    "keywords": [
      "local limit theorems",
      "inhomogeneous markov chains",
      "bounded additive functionals",
      "large deviation regime",
      "uniformly elliptic inhomogeneous markov arrays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 212,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}