Permanental processes from products of complex and quaternionic induced Ginibre ensembles

DOI10.1142/S2010326314500142zbMath1304.15025arXiv1404.4583OpenAlexW2962740053MaRDI QIDQ2935251

Jesper R. Ipsen, Eugene Strahov, Gernot Akemann

Publication date: 22 December 2014

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4583

zbMATH Keywords

generalized Schur decompositionhole probabilitiesnon-Hermitian random matrix theoryovercrowdingproducts of random matricespermanental processesinduced Ginibre ensembles

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (14)

Dropping the independence: singular values for products of two coupled random matrices ⋮ Wronskian structures of planar symplectic ensembles ⋮ Products of random matrices from fixed trace and induced Ginibre ensembles ⋮ Outliers in the spectrum for products of independent random matrices ⋮ On the almost‐circular symplectic induced Ginibre ensemble ⋮ Disk counting statistics near hard edges of random normal matrices: the multi-component regime ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Exponential moments for disk counting statistics at the hard edge of random normal matrices ⋮ Order statistics of the moduli of the eigenvalues of product random matrices from polynomial ensembles ⋮ Product matrix processes for coupled multi-matrix models and their hard edge scaling limits ⋮ Relating the Bures measure to the Cauchy two-matrix model ⋮ Products of independent elliptic random matrices ⋮ Gaussian fluctuations for linear eigenvalue statistics of products of independent iid random matrices ⋮ Universality of the number variance in rotational invariant two-dimensional Coulomb gases

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