{
  "id": "math/0407297",
  "version": "v1",
  "published": "2004-07-16T19:08:52.000Z",
  "updated": "2004-07-16T19:08:52.000Z",
  "title": "Brownian motion with killing and reflection and the \"hot--spots\" problem",
  "authors": [
    "Rodrigo Banuelos",
    "Michael Pang",
    "Mihai Pascu"
  ],
  "journal": "Probab. Theory Relat. Fields 130, 56-68 (2004)",
  "doi": "10.1007/s00440-003-0323-x",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We investigate the \"hot--spots\" property for the survival time probability of Brownian motion with killing and reflection in planar convex domains whose boundary consists of two curves, one of which is an arc of a circle, intersecting at acute angles. This leads to the \"hot--spots\" property for the mixed Dirichlet--Neumann eigenvalue problem in the domain with Neumann conditions on one of the curves and Dirichlet conditions on the other",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-16T19:08:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian motion",
      "reflection",
      "survival time probability",
      "planar convex domains",
      "mixed dirichlet-neumann eigenvalue problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7297B"
    }
  }
}