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

Svante Janson; Philippe Chassaing

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arXiv · math/0309284

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

Svante Janson·Philippe Chassaing

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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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BibTeX RIS

Svante Janson, Philippe Chassaing. 2003-09-17. The center of mass of the ISE and the Wiener index of trees. https://arxiv.org/abs/math/0309284

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