The Center of Mass of the ISE and the Wiener Index of Trees

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 asymptotic...

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Veröffentlicht in:Electronic communications in probability 2004-01, Vol.9 (none)
Hauptverfasser: Janson, Svante, Chassaing, Philippe
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1083-589X
1083-589X
DOI:10.1214/ECP.v9-1088