On words of non-Hermitian random matrices
From MaRDI portal
Publication:2039456
DOI10.1214/20-AOP1496zbMath1467.60007arXiv1904.04312OpenAlexW3161555872MaRDI QIDQ2039456
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.04312
genus expansionsecond order freenessFuss-Catalan distributioncomplex Ginibre ensemblemixed moments of non-Hermitian matriceswords of random matrices
Related Items
CLT for non-Hermitian random band matrices with variance profiles ⋮ Matrix group integrals, surfaces, and mapping class groups. II: \( \mathrm{O}\left( n\right)\) and \(\mathrm{Sp}\left( n\right) \) ⋮ Circular law for random block band matrices with genuinely sublinear bandwidth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The limiting distributions of large heavy Wigner and arbitrary random matrices
- Free probability and random matrices
- Asymptotic distribution of singular values of powers of random matrices
- Genus expansion for real Wishart matrices
- Second order freeness and fluctuations of random matrices. II: Unitary random matrices
- Matrix integrals and map enumeration: an accessible introduction
- Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach
- Products of random matrices from polynomial ensembles
- Limit theorems for biorthogonal ensembles and related combinatorial identities
- The Euler characteristic of the moduli space of curves
- Planar diagrams
- Traffic distributions of random band matrices
- Powers of Ginibre eigenvalues
- Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\)
- Cumulants for random matrices as convolutions on the symmetric group. II
- Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements
- Second order asymptotics for matrix models
- Character expansion method for the first order asymptotics of a matrix integral
- Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces
- Cumulants for random matrices as convolutions on the symmetric group
- Explicit multi-matrix topological expansion for quaternionic random matrices
- Real Second-Order Freeness and the Asymptotic Real Second-Order Freeness of Several Real Matrix Models
- Exact relation between singular value and eigenvalue statistics
- A Census of Planar Triangulations
- Lectures on the Combinatorics of Free Probability
- Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
- On the Eigenvalues of Random Matrices
- <scp>Finite‐Rank</scp> Perturbations of Random Band Matrices via Infinitesimal Free Probability
- Recent Exact and Asymptotic Results for Products of Independent Random Matrices
- The Noise in the Circular Law and the Gaussian Free Field
- A note on mixed matrix moments for the complex Ginibre ensemble
- A Census of Planar Maps
