{
  "id": "1511.04579",
  "version": "v1",
  "published": "2015-11-14T16:46:09.000Z",
  "updated": "2015-11-14T16:46:09.000Z",
  "title": "Invariance of 0-currents under diffusions",
  "authors": [
    "Diego Sebastian Ledesma",
    "Fabiano Borges da Silva"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study two actions of a stochastic flow $\\varphi_t$ on the space of $0-$currents $T$ of a differentiable manifold $M$. In particular, we give conditions on a current $T$ to be invariant under these actions. Also, we apply our results to the case of $0-$currents that come from harmonic measures associated to certain type of foliations on homogeneous spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-14T16:46:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariance",
      "diffusions",
      "stochastic flow",
      "harmonic measures",
      "homogeneous spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}