Disordered ensembles of random matrices.
Disordered ensembles of random matrices.
复制标题
随机矩阵的无序系综。
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
M. P. Pato
中科院分区：
文献类型：
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作者：
O. Bohigas;J. X. de Carvalho;M. P. Pato
用高斯矩阵除以一个随机变量的简单方法，得到了最近所考虑的可产生正交不变稳定lsamvy综的广义矩阵系族。研究了这类无序系综的非遍历性。结果表明，将同样的程序应用于随机图会产生一个家族，在Erdös-Renyi和无比例模型之间进行插值。
It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable Lévy ensemble can be generated by the simple procedure of dividing Gaussian matrices by a random variable. The nonergodicity of this kind of disordered ensembles is investigated. It is shown that the same procedure applied to random graphs gives rise to a family that interpolates between the Erdös-Renyi and the scale free models.