Some explicit distributions for Brownian motion indexed by the Brownian tree

Published 21 Dec 2018 in math.PR | (1812.09097v2)

Abstract: We derive several explicit distributions of functionals of Brownian motion indexed by the Brownian tree. In particular, we give a direct proof of a result of Bousquet-M\'elou and Janson identifying the distribution of the density at 0 of the integrated super-Brownian excursion.

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