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A probabilistic approach to local limit theorems with applications to random graphs
local limit theorems applications to random graphs
2010/11/19
In this article, we develop a general method to obtain local limit theorems from distributional limit theorems. Our results use probabilistic arguments and yield explicit bounds on the quality of app...
Partial Match Queries in Two-Dimensional Quadtrees : a Probabilistic Approach
Quadtree Partial match query Fragmentation theory Markov chain Coupling
2010/12/7
We analyze the mean cost of the partial match queries in random two-dimensional quadtrees. The method is based on fragmentation theory. The convergence is guaranteed by a coupling argument of Markov c...