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arXiv 0709.4483math.COmath.PR
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广义下降与正规性

Generalized Descents and Normality

Miklos Bona

摘要:

我们使用Janson的依赖性准则证明了当$n$趋于无穷大时,$d$的分布-长度为$n$的排列的下降收敛于正态分布.我们表明,这仍然是正确的,即使$d$被允许与$n$增长,达到一定程度。

英文摘要:

We use Janson's dependency criterion to prove that the distribution of $d$-descents of permutations of length $n$ converge to a normal distribution as $n$ goes to infinity. We show that this remains true even if $d$ is allowed to grow with $n$, up to a certain degree.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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