与Lax矩阵相关的随机矩阵系综
Random matrix ensembles associated with Lax matrices
摘要：
提出了一种新的随机矩阵集成类的生成方法。这些集合中的随机矩阵是具有一定动量和坐标分布的经典可积系统的Lax矩阵。可积结构的存在允许计算这些矩阵的特征值的联合分布解析。谱统计这些合奏是相当不寻常的，在许多情况下，严格的新的例子，中间统计。
英文摘要：
A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain distribution of momenta and coordinates. The existence of an integrable structure permits to calculate the joint distribution of eigenvalues for these matrices analytically. Spectral statistics of these ensembles are quite unusual and in many cases give rigorously new examples of intermediate statistics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
