Change of variables as a method to study general β-models: Bulk universality
From MaRDI portal
Publication:5171339
DOI10.1063/1.4870603zbMath1296.82032arXiv1310.7835OpenAlexW3099101010MaRDI QIDQ5171339
Publication date: 26 July 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.7835
Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Related Items
Mesoscopic central limit theorem for general \(\beta\)-ensembles ⋮ Free analysis and random matrices ⋮ Interacting particle systems at the edge of multilevel Dyson Brownian motions ⋮ Local density for two-dimensional one-component plasma ⋮ General β-Jacobi Corners Process and the Gaussian Free Field ⋮ Cusp universality for random matrices. I: Local law and the complex Hermitian case ⋮ Law of large numbers for the maximum of the two-dimensional Coulomb gas potential ⋮ Rigidity of eigenvalues for \(\beta\) ensemble in multi-cut regime ⋮ Quenched universality for deformed Wigner matrices ⋮ Universality for random matrix flows with time-dependent density ⋮ Transport maps for β-matrix models in the multi-cut regime ⋮ CLT for fluctuations of \(\beta \)-ensembles with general potential ⋮ Stability of the matrix Dyson equation and random matrices with correlations ⋮ Fixed energy universality of Dyson Brownian motion ⋮ Gap universality of generalized Wigner and \(\beta\)-ensembles ⋮ 1D log gases and the renormalized energy: crystallization at vanishing temperature ⋮ Universality in several-matrix models via approximate transport maps ⋮ Fluctuations of two dimensional Coulomb gases ⋮ Quantitative normal approximation of linear statistics of \(\beta \)-ensembles ⋮ Bulk universality for deformed Wigner matrices ⋮ Tail bounds for gaps between eigenvalues of sparse random matrices ⋮ Moderate deviations for linear eigenvalue statistics of β-ensembles ⋮ Transport maps for \(\beta\)-matrix models and universality ⋮ Optimal local law and central limit theorem for \(\beta\)-ensembles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fluctuations of linear eigenvalue statistics of \(\beta \) matrix models in the multi-cut regime
- Edge universality of beta ensembles
- Gap universality of generalized Wigner and \(\beta\)-ensembles
- Orthogonal and symplectic matrix models: universality and other properties
- On universality for orthogonal ensembles of random matrices
- Continuum limits of random matrices and the Brownian carousel
- Edge universality for orthogonal ensembles of random matrices
- Universality limits in the bulk for varying measures
- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
- On the statistical mechanics approach in the random matrix theory: Integrated density of states.
- Correlation functions, cluster functions, and spacing distributions for random matrices
- Asymptotic expansion of \(\beta \) matrix models in the one-cut regime
- On fluctuations of eigenvalues of random Hermitian matrices.
- Universality of general \(\beta\)-ensembles
- Universality for orthogonal and symplectic Laguerre-type ensembles
- Bulk universality and related properties of Hermitian matrix models
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- Universality of the double scaling limit in random matrix models
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Double scaling limit in the random matrix model: The Riemann-Hilbert approach
- Universality in Random Matrix Theory for orthogonal and symplectic ensembles
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- On the \(1/n\) expansion for some unitary invariant ensembles of random matrices
