Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles

DOI10.1007/s10955-010-9993-9zbMath1197.82063arXiv0905.4932OpenAlexW3106081629MaRDI QIDQ5961851

Dang-Zheng Liu, Da-Sheng Zhou

Publication date: 16 September 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4932

zbMATH Keywords

universalitybounded trace ensemblesfixed trace ensembles

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52)

Related Items (4)

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 ⋮ Fluctuations of the spectrum in rotationally invariant random matrix ensembles

Cites Work

• Unnamed Item
• Random matrices: universality of local eigenvalue statistics
• Limit correlation functions for fixed trace random matrix ensembles
• Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
• Level-spacing distributions and the Airy kernel
• Fredholm determinants, differential equations and matrix models
• Universality at the edge of the spectrum in Wigner random matrices.
• Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
• On orthogonal and symplectic matrix ensembles
• Universality of the correlations between eigenvalues of large random matrices.
• The spectrum edge of random matrix ensembles.
• Bulk universality for Wigner Hermite matrices with subexponential decay
• Determinantal random point fields
• Statistical Theory of the Energy Levels of Complex Systems. I
• Norm-dependent random matrix ensembles in external field and supersymmetry
• Arbitrary unitarily invariant random matrix ensembles and supersymmetry
• The fixed-trace β-Hermite ensemble of random matrices and the low temperature distribution of the determinant of anN×Nβ-Hermite matrix
• Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
• Bulk universality for Wigner matrices
• Exact densities of states of fixed trace ensembles of random matrices
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density
• Local Statistical Properties of Schmidt Eigenvalues of Bipartite Entanglement for a Random Pure State
• Universality in Random Matrix Theory for orthogonal and symplectic ensembles
• Random matrices and information theory
• Macroscopic and microscopic (non-)universality of compact support random matrix theory
• Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices

This page was built for publication: Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles