论文标题
布朗吉布斯线乐团的表征
Characterization of Brownian Gibbsian line ensembles
论文作者
论文摘要
在本文中，我们表明，布朗·吉布斯（Brownian Gibbsian Line）的合奏完全以其顶曲线的有限维边缘为特征，即其顶部曲线的有限维度形成一个分离的类别。我们结果的一个特殊结果是，通风线的合奏是独特的布朗吉布斯线集合，其顶部曲线是通风的$ _2 $过程。
In this paper we show that a Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its top curve, i.e. the finite-dimensional sets of the its top curve form a separating class. A particular consequence of our result is that the Airy line ensemble is the unique Brownian Gibbsian line ensemble, whose top curve is the Airy$_2$ process.
