Local law of addition of random matrices on optimal scale
From MaRDI portal
Publication:512320
DOI10.1007/s00220-016-2805-6zbMath1416.60015arXiv1509.07080OpenAlexW3106145536WikidataQ59607425 ScholiaQ59607425MaRDI QIDQ512320
Zhigang Bao, László Erdős, Kevin Schnelli
Publication date: 24 February 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07080
Related Items
Bulk universality for random lozenge tilings near straight boundaries and for tensor products, Isotropic self-consistent equations for mean-field random matrices, Local law and Tracy-Widom limit for sparse random matrices, Convergence rate for spectral distribution of addition of random matrices, Large deviations for the largest eigenvalue of the sum of two random matrices, Local single ring theorem on optimal scale, On the analytic structure of second-order non-commutative probability spaces and functions of bounded Fréchet variation, Local laws for multiplication of random matrices, On the support of the free additive convolution, Anisotropic local laws for random matrices, Local spectral statistics of the addition of random matrices, Random characteristics for Wigner matrices, Universality of local statistics for noncolliding random walks, Universality of the least singular value for the sum of random matrices, Spectral rigidity for addition of random matrices at the regular edge, Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- How to generate random matrices from the classical compact groups
- Local stability of the free additive convolution
- Additive/multiplicative free subordination property and limiting eigenvectors of spiked additive deformations of Wigner matrices and spiked sample covariance matrices
- Averaging fluctuations in resolvents of random band matrices
- The single ring theorem
- The arithmetic of distributions in free probability theory
- Outliers in the spectrum of large deformed unitarily invariant models
- Local single ring theorem
- On eigenvalues of the sum of two random projections
- Concentration of Haar measures, with an application to random matrices
- The Lebesgue decomposition of the free additive convolution of two probability distributions
- Limit laws for random matrices and free products
- Representations of symmetric groups and free probability
- Free convolution and the random sum of matrices
- Universality for random matrix flows with time-dependent density
- Bulk universality for generalized Wigner matrices
- A concentration inequality and a local law for the sum of two random matrices
- Subordination for the sum of two random matrices
- Convergence of local statistics of Dyson Brownian motion
- Local single ring theorem on optimal scale
- A note on regularity for free convolutions
- A new approach to subordination results in free probability
- Fixed Energy Universality for Generalized Wigner Matrices
- Free Random Variables
- The Subgroup Algorithm for Generating Uniform Random Variables
- Universality of local spectral statistics of random matrices
- On the law of addition of random matrices.
