论文标题
在多空间欧几里得随机矩阵上
On the Spectrum of Multi-Space Euclidean Random Matrices
论文作者
论文摘要
我们考虑了高密度方案中大量独立欧几里得随机矩阵的添加叠加。分解是用自由概率理论以及无序系统统计物理学的复制方法计算的。为一些与计算神经科学相关的应用显示了频谱和本本谱的结果，并通过数值模拟证实。
We consider the additive superimposition of an extensive number of independent Euclidean Random Matrices in the high-density regime. The resolvent is computed with techniques from free probability theory, as well as with the replica method of statistical physics of disordered systems. Results for the spectrum and eigenmodes are shown for a few applications relevant to computational neuroscience, and are corroborated by numerical simulations.
