On the averages of characteristic polynomials from classical groups
DOI10.1007/s00220-006-1503-1zbMath1107.60004arXivmath-ph/0502043OpenAlexW1989131438MaRDI QIDQ863123
Daniel Bump, Alexander Gamburd
Publication date: 25 January 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0502043
Representation theory for linear algebraic groups (20G05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Random matrices (algebraic aspects) (15B52) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (32)
Cites Work
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- Hook flag characters and their combinatorics
- Autocorrelation of ratios of \(L\)-functions
- Representations of finite classical groups. A Hopf algebra approach
- Applications of minor summation formulas to rectangular-shaped representations of classical groups
- Identities for classical group characters of nearly rectangular shape
- Finite-\(N\) fluctuation formulas for random matrices
- Increasing subsequences and the classical groups
- Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach
- Autocorrelation of random matrix polynomials
- Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds
- Toeplitz minors
- Singularity dominated strong fluctuations for some random matrix averages
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble
- High moments of the Riemann zeta-function
- Algebraic aspects of increasing subsequences
- Random matrices, magic squares and matching polynomials
- Moments of the characteristic polynomial in the three ensembles of random matrices
- Stable branching rules for classical symmetric pairs
- The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
- Averages of characteristic polynomials in random matrix theory
- Remarks on Classical Invariant Theory
- Dimensions of irreducible representations of the classical Lie groups
- Branching rules for classical Lie groups using tensor and spinor methods
- Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
- A conjecture for the sixth power moment of the Riemann zeta-function
- On the Eigenvalues of Random Matrices
- Formulas for the Evaluation of Toeplitz Determinants with Rational Generating Functions
- An exact formula for general spectral correlation function of random Hermitian matrices
- New correlation functions for random matrices and integrals over supergroups
- Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations
- Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
- Products and ratios of characteristic polynomials of random Hermitian matrices
- Integral moments of L-functions
- Branching Rules for Simple Lie Groups
- Some Properties of S -Functions
- On invariant theory under restricted groups
- Characteristic polynomials of random matrices.
- Random matrix theory and \(L\)-functions at \(s=1/2\).
- Random matrix theory and \(\zeta(1/2+it)\).
- Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
- Characteristic polynomials of real symmetric random matrices
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