Plancherel Young图线性统计量的方差
Variance of Linear Statistic for Plancherel Young Diagrams
摘要：
本文计算了Plancherel-Young图（按照Vershik和Kerov，图被认为是用$π/4$旋转的）在增长区间上下降的线性统计量方差的精确渐近性。我们还给出了一个方差线性增长的局部组态在固定区域的例子，并证明了该组态在给定区域的中心极限定理。
英文摘要：
In this paper we compute the precise asymptotics of the variance of linear statistic of descents on a growing interval for Plancherel Young diagrams (following Vershik and Kerov, diagrams are considered rotated by $π/4$). We also give an example of a local configuration with linearly growing variance in a fixed regime and prove the central limit theorem for this configuration in the given regime.
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。
