Open Access
2011 Limit distribution of degrees in random family trees
Agnes Backhausz
Author Affiliations +
Electron. Commun. Probab. 16: 29-37 (2011). DOI: 10.1214/ECP.v16-1598


In a one-parameter model for evolution of random trees, which also includes the Barabasi-Albert random tree [1], almost sure behavior and the limiting distribution of the degree of a vertex in a fixed position are examined. A functional central limit theorem is also given. Results about Polya urn models are applied in the proofs.


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Agnes Backhausz. "Limit distribution of degrees in random family trees." Electron. Commun. Probab. 16 29 - 37, 2011.


Accepted: 12 January 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1228.05242
MathSciNet: MR2763526
Digital Object Identifier: 10.1214/ECP.v16-1598

Primary: 05C80
Secondary: 60C05 , 60F15

Keywords: preferential attachment , Random trees , urn models

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