Partial Match Queries in Two-Dimensional Quadtrees: a Probabilistic Approach

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.
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Preprints, Working Papers, ...
2010
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https://hal.archives-ouvertes.fr/hal-00518352
Contributor : Adrien Joseph <>
Submitted on : Friday, September 17, 2010 - 9:17:32 AM
Last modification on : Tuesday, October 11, 2016 - 3:20:23 PM

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  • HAL Id : hal-00518352, version 1
  • ARXIV : 1009.3113

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Citation

Nicolas Curien, Adrien Joseph. Partial Match Queries in Two-Dimensional Quadtrees: a Probabilistic Approach. 2010. <hal-00518352>

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