{
  "id": "1501.02274",
  "version": "v1",
  "published": "2015-01-09T21:08:50.000Z",
  "updated": "2015-01-09T21:08:50.000Z",
  "title": "Survival probability of a Brownian motion in a planar wedge of arbitrary angle",
  "authors": [
    "Marie Chupeau",
    "Olivier Bénichou",
    "Satya N. Majumdar"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the survival probability and the first-passage time distribution for a Brownian motion in a planar wedge with infinite absorbing edges. We generalize existing results obtained for wedge angles of the form $\\pi/n$ with $n$ a positive integer to arbitrary angles, which in particular cover the case of obtuse angles. We give explicit and simple expressions of the survival probability and the first-passage time distribution in which the difference between an arbitrary angle and a submultiple of $\\pi$ is contained in three additional terms. As an application, we obtain the short time development of the survival probability in a wedge of arbitrary angle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-09T21:08:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "survival probability",
      "arbitrary angle",
      "brownian motion",
      "planar wedge",
      "first-passage time distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}