论文标题
高温状态下的βlaguerre过程
Beta Laguerre processes in a high temperature regime
论文作者
论文摘要
可以将beta laguerre过程概括为WishArt/laguerre过程的特征值过程。可以将其定义为B型径向dunkl过程的平方。本文，我们研究了其经验测量过程的限制行为。到了瞬间方法，我们将收敛性显示为高温制度的限制，这是一种$βn\ to const \ in（0，\ infty）$的制度，其中$β$是逆温度参数，而$ n $是系统大小。这是对同一制度中βlaguerre合奏的经验度量收敛的最新结果的动态版本。
Beta Laguerre processes which are generalizations of the eigenvalue process of Wishart/Laguerre processes can be defined as the square of radial Dunkl processes of type B. In this paper, we study the limiting behavior of their empirical measure processes. By the moment method, we show the convergence to a limit in a high temperature regime, a regime where $βN \to const \in (0, \infty)$, where $β$ is the inverse temperature parameter and $N$ is the system size. This is a dynamic version of a recent result on the convergence of the empirical measures of beta Laguerre ensembles in the same regime.
