论文标题
半空间通风的统计过程
The half-space Airy stat process
论文作者
论文摘要
我们研究了固定半空间的多点分布，最后通过渗透时间呈指数加权时间。我们为此分布得出有限大小和渐近结果。在后一种情况下，我们观察到一个新的单参数过程，我们称之为半空间的统计数据。这是Baik-Ferrari-Péché的通风统计过程的一个参数概括，该过程远离对角线。所有这些结果扩展了作者先前证明的一分结果。
We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this distribution. In the latter case we observe a new one-parameter process we call half-space Airy stat. It is a one-parameter generalization of the Airy stat process of Baik-Ferrari-Péché, which is recovered far away from the diagonal. All these results extend the one-point results previously proven by the authors.
