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

  
@article{ECP1088,
	author = {Svante Janson and Philippe Chassaing},
	title = {The Center of Mass of the ISE and the Wiener Index of Trees},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {9},
	year = {2004},
	keywords = {ISE; Brownian snake; Brownian excursion; center of mass; Wiener index},
	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.},
	pages = {no. 20, 178-187},
	issn = {1083-589X},
	doi = {10.1214/ECP.v9-1088},    
        url = {http://ecp.ejpecp.org/article/view/1088}}