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» Thermodynamic limit for large random trees
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RSA
2010
106views more  RSA 2010»
12 years 11 months ago
Thermodynamic limit for large random trees
We consider Gibbs distributions on finite random plane trees with bounded branching. We show that as the order of the tree grows to infinity, the distribution of any finite neighb...
Yuri Bakhtin
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 4 months ago
Universal Limit Laws for Depths in Random Trees
Random binary search trees, b-ary search trees, median-of-(2k+1) trees, quadtrees, simplex trees, tries, and digital search trees are special cases of random split trees. For these...
Luc Devroye
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
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 4 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye
AAAI
1996
13 years 5 months ago
Improved Limited Discrepancy Search
We present an improvement to Harvey and Ginsberg's limited discrepancy search algorithm, which eliminates much of the redundancy in the original, by generating each path from...
Richard E. Korf