The center of mass of the ISE and the Wiener index of trees

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
11 pages

Keywords

Probability, 60K35 (Primary), 60J85 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309284
 http://arxiv.org/abs/math/0309284

Collections

arXiv