论文标题
大型振荡tableaux的区域统计数据
Area Statistics for Large Oscillating Tableaux
论文作者
论文摘要
在本说明中，我们表明，构成振荡tableaux的分区区域通过在$ \ mathbb {z}^2 $的第一个象限上随机步行描述，其位置取决于权重。我们能够递归计算步行的时刻。随着振荡tableaux的长度变大，我们表明，这种随机步行会收敛到高斯随机过程。
In this note we show that the area of the partitions making up an oscillating tableaux is described by a random walk on the first quadrant of $\mathbb{Z}^2$ with certain position dependent weights. We are able to recursively calculate the moments of the walk. As the length of the oscillating tableaux becomes large we show that this random walk converges to a Gaussian stochastic process.
