In this review we summarise recent results for the complex eigenvalues and singular values
of finite products of finite size random matrices, their correlation functions and asymptotic …

Peakons (peaked solitons) are particular solutions admitted by certain nonlinear PDEs, most
famously the Camassa–Holm shallow water wave equation. These solutions take the form of …

We consider the product of M quadratic random matrices with complex elements and no
further symmetry, where all matrix elements of each factor have a Gaussian distribution. This …

Abstract Akemann, Ipsen and Kieburg recently showed that the squared singular values of
products of M rectangular random matrices with independent complex Gaussian entries are …

We prove that the squared singular values of a fixed matrix multiplied with a truncation of a
Haar distributed unitary matrix are distributed by a polynomial ensemble. This result is …

We study the distribution of singular numbers of products of certain classes of pp‐adic
random matrices, as both the matrix size and number of products go to∞ ∞ simultaneously …

Akemann, Ipsen, and Kieburg showed recently that the squared singular values of a product
of M complex Ginibre matrices are distributed according to a determinantal point process …

Muttalib–Borodin ensembles are characterised by the pair interaction term in the eigenvalue
probability density function being of the form ∏_1≤j<k≤N(λ_k-λ_j)(λ_k^θ-λ_j^θ). We study …

It has been shown by Akemann, Ipsen and Kieburg that the squared singular values of
products of M rectangular random matrices with independent complex Gaussian entries are …

We solve a spectral and an inverse spectral problem arising in the computation of peakon
solutions to the two-component PDE derived by Geng and Xue as a generalization of the …