Hughes's joint-moment asymptotic for characteristic polynomials of random unitary matrices
Let U∈U(N)\mathbf{U}\in\mathbb{U}(N)U∈U(N), let VU(θ)V_{\mathbf{U}}(\theta)VU(θ) be the real-valued normalization of its characteristic polynomial, and define … where dμNd\mu_NdμN is normalized Haar pro…