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Lawler, Gregory F.; Werner, Wendelin (2003)
Languages: English
Types: Preprint
Subjects: Mathematics - Probability
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.

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