论文标题

罗宾逊 - 施加语 - 针头算法的流体动力极限

Hydrodynamic limit of Robinson-Schensted-Knuth algorithm

论文作者

Marciniak, Mikołaj

论文摘要

当Robinson-Schensted-Knuth算法应用于随机数序列时,我们研究了插入表中固定数字的位置的演变。当序列的长度趋于无穷大时,缩放缩放后的典型轨迹均匀地收敛到某些确定性曲线。

We investigate the evolution in time of the position of a fixed number in the insertion tableau when the Robinson-Schensted-Knuth algorithm is applied to a sequence of random numbers. When the length of the sequence tends to infinity, a typical trajectory after scaling converges uniformly in probability to some deterministic curve.

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