Differential Identities for the Structure Function of Some Random Matrix Ensembles
Peter J. Forrester
Topics & Concepts
MathematicsRandom matrixHermitian matrixCircular ensembleUnitary matrixLaguerre polynomialsScalingUnitary stateEigenvalues and eigenvectorsScaling limitIdentity matrixMatrix (chemical analysis)Orthogonal polynomialsMathematical analysisCovariancePolynomialDuality (order theory)Correlation function (quantum field theory)Limit (mathematics)GaussianStatistical physicsFourier transformMatrix functionClassical limitFunction (biology)Covariance matrixPure mathematicsQuantumLinear differential equationStochastic differential equationCausal structureRandom functionCharacteristic function (probability theory)Quantum chaosRandom Matrices and ApplicationsQuantum chaos and dynamical systemsMathematical functions and polynomials