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


 
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1. Title Title of document The Center of Mass of the ISE and the Wiener Index of Trees
 
2. Creator Author's name, affiliation, country Svante Janson; Uppsala University
 
2. Creator Author's name, affiliation, country Philippe Chassaing; Institut Elie Cartan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) ISE; Brownian snake; Brownian excursion; center of mass; Wiener index
 
3. Subject Subject classification 60K35; 60J85
 
4. Description 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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6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2004-12-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1088
 
10. Identifier Digital Object Identifier 10.1214/ECP.v9-1088
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 9
 
12. Language English=en
 
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