Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices

DOI10.1016/S0550-3213(99)00588-XzbMath0969.82011MaRDI QIDQ1572390

Peter J. Forrester, Taro Nagao

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52)

Related Items (15)

Infinite systems of noncolliding generalized meanders and Riemann-Liouville differintegrals ⋮ Correlation kernels for discrete symplectic and orthogonal ensembles ⋮ Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems ⋮ Determinantal process starting from an orthogonal symmetry is a Pfaffian process ⋮ Random matrix theory for the Hermitian Wilson Dirac operator and the chGUE-GUE transition ⋮ Pfaffian expressions for random matrix correlation functions ⋮ Noncolliding Brownian motion and determinantal processes ⋮ Correlation functions for multi-matrix models and quaternion determinants ⋮ Eynard-Mehta theorem, Schur process, and their Pfaffian analogs ⋮ GUE-chGUE transition preserving chirality at finite matrix size ⋮ Dynamical correlations for circular ensembles of random matrices ⋮ Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges ⋮ Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble ⋮ Dynamical correlations among vicious random walkers ⋮ Dynamical correlations for vicious random walk with a wall

Cites Work

• Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones
• Correlations for parameter-dependent random matrices
• Transitive ensembles of random matrices related to orthogonal polynomials.
• Correlations between eigenvalues of a random matrix
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• Matrices coupled in a chain: I. Eigenvalue correlations
• On some Gaussian ensembles of Hermitian matrices

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