Large deviations for the leaves in some random trees

Details Large deviations for the leaves in some random trees Large deviations for the leaves in some random trees

2008-09-27

arxiv.org/abs/0809.4741v1

Advances in Applied Probab., 41 (2009), 845-873

Mathematics

Probability

Scientific paper

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.

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