Abstract
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 chains, whereas the value of the limit is computed as the fixed point of an integral equation.
Citation
Nicolas Curien. Adrien Joseph. "Partial match queries in two-dimensional quadtrees: a probabilistic approach." Adv. in Appl. Probab. 43 (1) 178 - 194, March 2011. https://doi.org/10.1239/aap/1300198518
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