Large deviations for the leaves in some random trees

Large deviations for the leaves in some random trees

Bryc Wlodek, Minda David, and Sethuraman Sunder

Source: Adv. in Appl. Probab. Volume 41, Number 3 (2009), 845-873.

Abstract

Large deviation principles and related results are given for a class of Markov chains associated to the `leaves' in random recursive trees and preferential attachment random graphs, as well as the `cherries' in Yule trees. In particular, the method of proof, combining analytic and Dupuis--Ellis-type path arguments, allows for an explicit computation of the large deviation pressure.

Primary Subjects: 60F10

Secondary Subjects: 05C80

Keywords: Large deviation; central limit; preferential attachment; planar oriented; uniformly random trees; leaves; cherries; Yule; random Stirling permutations

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Permanent link to this document: http://projecteuclid.org/euclid.aap/1253281066
Digital Object Identifier: doi:10.1239/aap/1253281066
Zentralblatt MATH identifier: 05625070

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