Singularity analysis, Hadamard products, and tree recurrences
组合数学
2007-05-23 v1 概率论
摘要
We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Hadamard products on singularities in the context of the complex Tauberian technique known as singularity analysis. As a consequence, it becomes possible to unify the analysis of a number of divide-and-conquer algorithms, or equivalently random tree models, including several classical methods for sorting, searching, and dynamically managing equivalence relations
引用
@article{arxiv.math/0306225,
title = {Singularity analysis, Hadamard products, and tree recurrences},
author = {James Allen Fill and Philippe Flajolet and Nevin Kapur},
journal= {arXiv preprint arXiv:math/0306225},
year = {2007}
}
备注
47 pages. Submitted for publication