Disordered random matrices

被引：2
|
作者：
Pato, M. P. [1 ]
机构：
[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP, Brazil
来源：
4TH INTERNATIONAL WORKSHOP ON STATISTICAL PHYSICS AND MATHEMATICS FOR COMPLEX SYSTEMS (SPMCS2014) | 2015年 / 604卷
关键词：
FLUCTUATIONS;
D O I：
10.1088/1742-6596/604/1/012015
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
A revision is made of the effect, in the statistical properties of the matrices of random matrix theory, of dividing them by a positive random variable. As the method preserves unitary invariance analitical derivations are easily performed. It is shown that the same procedure applied to the adjacency matrices of random graphs gives rise to a family of graphs that interpolates between the Erdos-Renyi and the scale-free model. Previous applications and new ones are discussed.
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页数：10
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