| The Brownian loop soup (2003) | |||||||||
Abstract | |||||||||
| 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. | |||||||||
Publication details | |||||||||
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