title: Survival probability of a Brownian motion in a planar wedge of arbitrary angle.
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 π/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 π 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.
authors: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex, France.
authors: Marie
authors: M
authors: Chupeau
authors: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex, France.
authors: Olivier
authors: O
authors: Bénichou
authors: CNRS, Laboratoire de Physique Théorique et Modèles Statistiques, Univ. Paris-Sud, 91405 Orsay Cedex, France.
authors: Satya N
authors: SN
authors: Majumdar