论文标题

罗宾逊 - 安格斯特德通信中碰撞路线的泊松极限

Poisson limit of bumping routes in the Robinson-Schensted correspondence

论文作者

Maślanka, Łukasz, Marciniak, Mikołaj, Śniady, Piotr

论文摘要

我们考虑将Robinson-Schensted-Knuth算法应用于随机输入,并研究碰撞路线的形状(在$ Y $轴的附近)时,当指定的数字插入大型Plancherel-Plancherel-distribed Tableau时。我们表明,在坐标系统进行了投影更改之后,碰撞路线在分布中收敛到泊松过程。

We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the $y$-axis) when a specified number is inserted into a large Plancherel-distributed tableau. We show that after a projective change of the coordinate system the bumping route converges in distribution to the Poisson process.

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