Plot the eigenvalues of many $n\times n$ real matrices in the complex plane, where the matrices are taken from a some distribution. For $n>7$, you can start to see a hole at the origin starting to form. From Girko's Circular Law I'd expect the distribution to tend toward a solid disc (with no hole in it). Below, the eigenvalue distributions of $10\times 10$ matrices taken from three distributions are seen, all with holes in them. The bigger $n$ is, the larger the hole is. The distributions are:

- All entries of all matrices are $\mathcal{N}(0,1)$
- All entries of all matrices are $\mathcal{U}(0,1)$
- The matrices are picked uniformly over the volume of a unit $n^2$-ball.

**Is this real (and not a bug in my code)? If it is, what is this phenomenon called?**

This seems to violate Girko's Circular Law, so what am I missing?

*Edit:* Here is my Matlab-code for generating these (without the scatterplot):

```
n = 10;
X = zeros(10^5,1);
Y = zeros(10^5,1);
for i = 1:10^5
B = randn(n);
C = eig(B);
j = 1+4*(i-1);
X(j:j+n-1) = real(C);
Y(j:j+n-1) = imag(C);
end
```

Have I perhaps made some stupid mistake?

*2nd edit:* Here is a plot with the corrected code, as requested: