The Center of Mass of the ISE and the Wiener Index of Trees
Svante Janson, Uppsala University
Philippe Chassaing, Institut Elie Cartan
Abstract
We derive the distribution
of the center of mass S of the
integrated superBrownian excursion (ISE)
from the asymptotic distribution of the Wiener
index for simple trees.
Equivalently, this is the distribution
of the integral of a Brownian snake.
A recursion formula for the moments and asymptotics
for moments and tail probabilities are derived.
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