Exact densities of states of fixed trace ensembles of random matrices
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Publication:4507639
DOI10.1088/0305-4470/33/14/302zbMath0971.82023OpenAlexW2031292878MaRDI QIDQ4507639
Gérard Le Caër, Renaud Delannay
Publication date: 8 October 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/33/14/302
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52) Limit theorems in probability theory (60F99) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)
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Products of random matrices from fixed trace and induced Ginibre ensembles ⋮ Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble ⋮ Compact smallest eigenvalue expressions in Wishart–Laguerre ensembles with or without a fixed trace ⋮ Macroscopic and microscopic (non-)universality of compact support random matrix theory ⋮ Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles ⋮ Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density ⋮ Fluctuations of the spectrum in rotationally invariant random matrix ensembles
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