- Eytan Katzav added an answer:Is there any internal relations between circle law and semicircle law?
- Alexander Wickstrom added an answer:What sort of mathematical background would best prepare a neuroscientist to really understand cortical networks?
- I. V. Fialkovsky added an answer:Can someone suggest any references on diagrammatics and renormalization for a QFT model with a non-trivial tadpole?
- Alexander Yurkin added an answer:Could the distribution of the prime numbers be related to a physical system?
- Parviz Parvin added an answer:Why doesn't random lasing in highly scattering media occur by CW optical pumping?
- Camille Male added an answer:Order in N of Cov( u_ij u_ik ) and Var( u_ij), for i,j,k distinct and U=(u_ij) an N by N Haar matrix ?

In random matrix theory, Let $A$ be a random $n \times n$ matrix whose entries i.i.d with expectation 0 and variance 1, let F be the LSD of $A$ , $F$ will be uniform distribution over the unit disk. The marginal distribution of $F$ equal to a non-standard semicircle law, which is the LSD of a wigner matrix $B$. Is there any relationship between circle law and semicircle law ? That is, if we have known one of the two law, can we prove another one by means of matrix analysis?