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ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
13 years 4 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
ACTA
2008
88views more  ACTA 2008»
13 years 3 months ago
Weighted height of random trees
We consider a model of random trees similar to the split trees of Devroye [30] in which a set of items is recursively partitioned. Our model allows for more flexibility in the cho...
Nicolas Broutin, Luc Devroye, Erin McLeish
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 2 months ago
Implicit Renewal Theory and Power Tails on Trees
: We extend Goldie's (1991) Implicit Renewal Theorem to enable the analysis of recursions on weighted branching trees. We illustrate the developed method by deriving the power...
Predrag R. Jelenkovic, Mariana Olvera-Cravioto