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.
Publié le : 2004-07-05
Classification:
ISE,
Brownian snake,
Brownian excursion,
center of mass,
Wiener index,
MSC: 60K35 (primary), 60J85 (secondary).,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00005089,
author = {Janson, Svante and Chassaing, Philippe},
title = {The center of mass of the ISE and the Wiener index of trees},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00005089}
}
Janson, Svante; Chassaing, Philippe. The center of mass of the ISE and the Wiener index of trees. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005089/