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math.PR2010★ 10 cited
The component sizes of a critical random graph with given degree sequence
Adrien Joseph
Consider a critical random multigraph with vertices constructed by the configuration model such that its vertex degrees are independent random variables with th…
math.PR2010
Partial Match Queries in Two-Dimensional Quadtrees : a Probabilistic Approach
Nicolas Curien, Adrien Joseph
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…