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 : mardi 11 octobre 2016 - 15:20:23

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

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UPMC | INSMI | PMA | PSL | USPC

Citation

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

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