arXiv:1812.09097 Abstract | arXiv Analytics

arXiv:1812.09097 [math.PR]Abstract References Reviews Resources

Some explicit distributions for Brownian motion indexed by the Brownian tree

Published 2018-12-21Version 1

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.

Comments: 19 pages

Categories: math.PR

Subjects: 60J65, 60J68, 60J80

Keywords: brownian motion, brownian tree, explicit distributions, direct proof, integrated super-brownian excursion

Related articles: Most relevant | Search more

arXiv:0801.2959 [math.PR] (Published 2008-01-18)

On Besov regularity of Brownian motions in infinite dimensions

Tuomas Hytonen, Mark Veraar

arXiv:math/0601632 [math.PR] (Published 2006-01-26)

Configurations of balls in Euclidean space that Brownian motion cannot avoid

Tom Carroll, Joaquim Ortega-Cerdà

arXiv:0802.1152 [math.PR] (Published 2008-02-08, updated 2009-12-09)