Laguerre unitary ensemble (source code)

= Laguerre unitary ensemble
{c}
{title2=$\Delta(x)^2\prod_i x_i^a e^{-x_i}$}

The Laguerre unitary ensemble is the positive-eigenvalue ensemble with joint density proportional to $\prod_{i<j}(x_j-x_i)^2\prod_i x_i^a e^{-x_i}$, for $a>-1$. Integer $a=n-m\geq0$ is realized by a <complex Wishart matrix>. The <Laguerre projection kernel> expresses its <correlation functions of a point process> as determinants.