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.
Type de document :
Pré-publication, Document de travail
2010
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https://hal.archives-ouvertes.fr/hal-00518352
Contributeur : Adrien Joseph <>
Soumis le : vendredi 17 septembre 2010 - 09:17:32
Dernière modification le : lundi 29 mai 2017 - 14:25:44

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

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UPMC | PMA | INSMI | PSL | USPC

Citation

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

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