论文标题
变形的cauchy随机矩阵合奏和大$ n $相转换
Deformed Cauchy random matrix ensembles and large $N$ phase transitions
论文作者
论文摘要
我们研究了一个新的Hermitian单矩阵模型，该模型包含对数Penner的类型项和另一个术语，可以从对数项中获得限制。对于小耦合，电势在原点上具有绝对最小值，但是超出了耦合电势的一定值，这会产生双重井。对于耦合的较高临界值，该系统经历了大型$ n $三阶相变。
We study a new hermitian one-matrix model containing a logarithmic Penner's type term and another term, which can be obtained as a limit from logarithmic terms. For small coupling, the potential has an absolute minimum at the origin, but beyond a certain value of the coupling the potential develops a double well. For a higher critical value of the coupling, the system undergoes a large $N$ third-order phase transition.
