论文标题

关于一类随机矩阵合奏的密度和两点相关函数的计算

On the computation of density and two-point correlation functions of a class of random matrix ensembles

论文作者

Alam, Kazi, Yadav, Swapnil, Muttalib, K. A.

论文摘要

我们演示了一种以数值求解一类随机矩阵合奏的方法。该方法适用于用生物三相型的两体相互作用和任意电位求解日志气体模型。我们为各种众所周知的合奏重现标准结果,并为Muttalib-Borodin合奏显示了一些新的结果,并最近引入了$γ$ - 启用,尚未为此提供分析结果。

We demonstrate a method to solve a general class of random matrix ensembles numerically. The method is suitable for solving log-gas models with biorthogonal type two-body interactions and arbitrary potentials. We reproduce standard results for a variety of well-known ensembles and show some new results for the Muttalib-Borodin ensembles and recently introduced $γ$-ensemble for which analytic results are not yet available.

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