Integer moments of complex Wishart matrices and Hurwitz numbers
From MaRDI portal
Publication:2031489
DOI10.4171/AIHPD/103zbMath1466.60009arXiv1809.10033MaRDI QIDQ2031489
Antoine Dahlqvist, Neil O'Connell, Fabio Deelan Cunden
Publication date: 9 June 2021
Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10033
Wishart distributiongenus expansionHurwitz numbersWeingarten calculusmoments of random matricesquantum chaotic transport
Random matrices (probabilistic aspects) (60B20) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Random matrices (algebraic aspects) (15B52)
Related Items
Jacobi beta ensemble and \(b\)-Hurwitz numbers, \(\beta\)-ensembles and higher genera Catalan numbers, Symmetric function theory and unitary invariant ensembles, Jacobi ensemble, Hurwitz numbers and Wilson polynomials, Ergodic decomposition for inverse Wishart measures on infinite positive-definite matrices, Linear differential equations for the resolvents of the classical matrix ensembles, \(q\)-Pearson pair and moments in \(q\)-deformed ensembles, Matrix Kesten recursion, inverse-Wishart ensemble and fermions in a Morse potential, Schur expansion of random-matrix reproducing kernels, Grothendieck’s dessins d’enfants in a web of dualities. III
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The number of prefixes of minimal factorisations of a cycle
- Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
- Polynomiality of monotone Hurwitz numbers in higher genera
- Monotone Hurwitz numbers and the HCIZ integral
- Asymptotics of Selberg-like integrals by lattice path counting
- Expectations of functions of complex Wishart matrix
- Matrix eigenvalue model: Feynman graph technique for all genera
- Parking functions and noncrossing partitions
- The complex Wishart distribution and the symmetric group
- Random matrices with complex Gaussian entries
- Symmetric polynomials and the center of the symmetric group ring
- Time delay correlations in chaotic scattering: Random matrix approach
- Asymptotic expansion of \(\beta \) matrix models in the one-cut regime
- Matrix model calculations beyond the spherical limit.
- Simple maps, Hurwitz numbers, and topological recursion
- Moments of random matrices and hypergeometric orthogonal polynomials
- Asymptotics of unitary multimatrix models: the Schwinger-Dyson lattice and topological recursion
- Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants
- Topological recursion and a quantum curve for monotone Hurwitz numbers
- Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices
- Schur-Weyl duality and the heat kernel measure on the unitary group
- Some factorisations counted by Catalan numbers
- Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group
- Large-N expansion for the time-delay matrix of ballistic chaotic cavities
- Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
- Transport moments beyond the leading order
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- A semiclassical matrix model for quantum chaotic transport
- Random matrices and chaos in nuclear physics: Nuclear reactions
- Correlators for the Wigner–Smith time-delay matrix of chaotic cavities
- Jucys-Murphy elements and the unitary Weingarten function
- Joint moments of proper delay times
- Efficient semiclassical approach for time delays
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations
- Random matrix approaches to open quantum systems
- All Invariant Moments of the Wishart Distribution
- Jucys–Murphy Elements and Unitary Matrix Integrals
- Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation
- Statistics of time delay and scattering correlation functions in chaotic systems. I. Random matrix theory
- Weingarten calculus via orthogonality relations: new applications
- Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach
- Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
