2003/04/26 by Gregory F. Lawler, Wendelin Werner · 1 citation
Mathematics · #math.PR
published as Probab. Th. Rel. Fields 128, 565-588 (2004)
arxiv created 2003/04/26 · arxiv updated 2017/07/18
We define a natural conformally invariant measure on unrooted Brownian loops in the plane and study some of its properties. We relate this measure to a measure on loops rooted at a boundary point of a domain and show how this relation gives a way to ``chronologically add Brownian loops'' to simple curves in the plane.