On the number of real eigenvalues of a product of truncated orthogonal random matrices
From MaRDI portal
Publication:2076654
DOI10.1214/21-EJP732zbMath1486.15039arXiv2102.08842OpenAlexW3129669250MaRDI QIDQ2076654
Nick Simm, Francesco Mezzadri, Alex Little
Publication date: 22 February 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08842
Random matrices (probabilistic aspects) (60B20) Generalized stochastic processes (60G20) Random matrices (algebraic aspects) (15B52)
Related Items (2)
Fluctuations and correlations for products of real asymmetric random matrices ⋮ The product of \(m\) real \(N \times N\) Ginibre matrices: real eigenvalues in the critical regime \(m = O(N)\)
Cites Work
- Unnamed Item
- Pfaffian formulae for one dimensional coalescing and annihilating systems
- One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes
- Real eigenvalue statistics for products of asymmetric real Gaussian matrices
- On the zero attractor of the Euler polynomials
- The Ginibre ensemble of real random matrices and its scaling limits
- Products of random matrices in statistical physics
- The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
- The probability that all eigenvalues are real for products of truncated real orthogonal random matrices
- Sharp asymptotics for Fredholm pfaffians related to interacting particle systems and random matrices
- The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system
- Random matrices: universality of local spectral statistics of non-Hermitian matrices
- On the distribution of the largest real eigenvalue for the real Ginibre ensemble
- On the real spectrum of a product of Gaussian matrices
- Universal distribution of Lyapunov exponents for products of Ginibre matrices
- Nonlinear analogue of the May−Wigner instability transition
- Central limit theorems for the real eigenvalues of large Gaussian random matrices
- Universal microscopic correlation functions for products of independent Ginibre matrices
- Time-inhomogeneous random Markov chains
- Real eigenvalues of non-Gaussian random matrices and their products
- General eigenvalue correlations for the real Ginibre ensemble
- How Many Eigenvalues of a Random Matrix are Real?
- Eigenvalue statistics of random real matrices
- Universality for Products of Random Matrices I: Ginibre and Truncated Unitary Cases
- On the number of real eigenvalues of products of random matrices and an application to quantum entanglement
- Universal microscopic correlation functions for products of truncated unitary matrices
- The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
- Recent Exact and Asymptotic Results for Products of Independent Random Matrices
- Products of Random Matrices
- How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?
- Determinantal point processes in the plane from products of random matrices
This page was built for publication: On the number of real eigenvalues of a product of truncated orthogonal random matrices