Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds

From MaRDI portal
Publication:1596739

DOI10.1016/S0550-3213(02)00185-2zbMath0994.15025arXivmath-ph/0201045MaRDI QIDQ1596739

Eugene Strahov, Yan. V. Fyodorov

Publication date: 2 May 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0201045




Related Items

Auto-correlation functions of Sato-Tate distributions and identities of symplectic charactersOn the averages of characteristic polynomials from classical groupsA random matrix approach to the crossover of energy-level statistics from Wigner to PoissonToda lattice representation for random matrix model with logarithmic confinementClassical particle in a box with random potential: exploiting rotational symmetry of replicated HamiltonianAuto-correlation functions for unitary groupsOn the moments of characteristic polynomialsUniversal results for correlations of characteristic polynomials: Riemann-Hilbert approachSymmetry crossover protecting chirality in Dirac spectraCondition numbers for real eigenvalues in the real elliptic Gaussian ensembleOn absolute moments of characteristic polynomials of a certain class of complex random matricesSymmetric function theory and unitary invariant ensemblesOn statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetryMatrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integralAverages of characteristic polynomials in random matrix theoryThe loss surfaces of neural networks with general activation functionsExistence of a phase with finite localization length in the double scaling limit of \(N\)-orbital modelsA spin Glass model for reconstructing nonlinearly encrypted signals corrupted by noiseCharacteristic polynomials of complex random matrix modelsThe Harish-Chandra integral: an introduction with examplesHyperbolic Hubbard–Stratonovich transformation made rigorousOn correlation functions of characteristic polynomials for chiral Gaussian unitary ensembleOn random matrix averages involving half-integer powers of GOE characteristic polynomials



Cites Work