Some explicit distributions for Brownian motion indexed by the Brownian tree

Jean-François Le Gall; Armand Riera

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arXiv · 1812.09097

Some explicit distributions for Brownian motion indexed by the Brownian tree

Jean-François Le Gall·Armand Riera

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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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Jean-François Le Gall, Armand Riera. 2018-12-21. Some explicit distributions for Brownian motion indexed by the Brownian tree. https://arxiv.org/abs/1812.09097

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