{
  "id": "1910.13709",
  "version": "v1",
  "published": "2019-10-30T08:15:30.000Z",
  "updated": "2019-10-30T08:15:30.000Z",
  "title": "On interweaving relations",
  "authors": [
    "Laurent Miclo",
    "Pierre Patie"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "Interweaving relations are introduced and studied here in a general Markovian setting as a strengthening of usual intertwining relations between semigroups, obtained by adding a randomized delay feature. They provide a new classification scheme of the set of Markovian semigroups which enables to transfer from a reference semigroup and up to an independent warm-up time, some ergodic, analytical and mixing properties including the $\\varphi$-entropy convergence to equilibrium, the hyperboundedness and when the warm-up time is deterministic the cut-off phenomena. We also present several useful transformations that preserve interweaving relations. We provide a variety of examples of interweaving relations ranging from classical, discrete, and non-local Laguerre and Jacobi semigroups to degenerate hypoelliptic Ornstein-Uhlenbeck semigroups and some non-colliding particle systems",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-30T08:15:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "particle systems",
      "degenerate hypoelliptic ornstein-uhlenbeck semigroups",
      "independent warm-up time",
      "cut-off phenomena",
      "randomized delay feature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}