On eigenvalues of the sum of two random projections
From MaRDI portal
Publication:691018
DOI10.1007/s10955-012-0592-9zbMath1260.15050arXiv1205.0993OpenAlexW3102552684MaRDI QIDQ691018
Publication date: 29 November 2012
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.0993
random matricesuniversalityAiry kernelsine kernelTracy-Widom distributionrandom projectionsdistribution of eigenvalues
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)
Related Items (4)
Local stability of the free additive convolution ⋮ Local law of addition of random matrices on optimal scale ⋮ Local spectral statistics of the addition of random matrices ⋮ Relating moments of self-adjoint polynomials in two orthogonal projections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random matrices: universality of local eigenvalue statistics
- Universality of random matrices and local relaxation flow
- Multivariate analysis and Jacobi ensembles: largest eigenvalue, Tracy-Widom limits and rates of convergence
- The limiting empirical measure of multiple discriminant ratios
- A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
- Asymptotic correlations at the spectrum edge of random matrices
- Universality at the edge of the spectrum in Wigner random matrices.
- Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields
- Gaussian fluctuations of eigenvalues in the GUE
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Universality properties of Gelfand-Tsetlin patterns
- The spectrum edge of random matrix ensembles.
- Product of random projections, Jacobi ensembles and universality problems arising from free probability
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Universality of local spectral statistics of random matrices
- A model for the bus system in Cuernavaca (Mexico)
- Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
- On the law of addition of random matrices.
- Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
This page was built for publication: On eigenvalues of the sum of two random projections
