Cusp universality for random matrices. I: Local law and the complex Hermitian case
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Publication:2192723
DOI10.1007/s00220-019-03657-4zbMath1475.60013arXiv1809.03971OpenAlexW3020948675WikidataQ98649186 ScholiaQ98649186MaRDI QIDQ2192723
Dominik Schröder, Torben Krüger, László Erdős
Publication date: 17 August 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.03971
cusp singularityPearcey processlocal lawDyson Brownian motionHermitian random matricescomplex Wigner-type matricescusp universality
Related Items (20)
On the deformed Pearcey determinant ⋮ Rank-uniform local law for Wigner matrices ⋮ Large deviations for the largest eigenvalue of matrices with variance profiles ⋮ Edge universality for non-Hermitian random matrices ⋮ Asymptotics of Fredholm determinant associated with the Pearcey kernel ⋮ Correlated random matrices: band rigidity and edge universality ⋮ Gap probability for the hard edge Pearcey process ⋮ Upper bounds for the maximum deviation of the Pearcey process ⋮ Local law and rigidity for unitary Brownian motion ⋮ Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices ⋮ Gaussian fluctuations in the equipartition principle for Wigner matrices ⋮ Boundary asymptotics of non-intersecting Brownian motions: Pearcey, Airy and a transition ⋮ On the generating function of the Pearcey process ⋮ Quenched universality for deformed Wigner matrices ⋮ The Dyson equation with linear self-energy: spectral bands, edges and cusps ⋮ Dyson Brownian motion for general \(\beta\) and potential at the edge ⋮ Eigenstate thermalization hypothesis for Wigner matrices ⋮ On fluctuations of global and mesoscopic linear statistics of generalized Wigner matrices ⋮ Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices ⋮ Quadratic Vector Equations On Complex Upper Half-Plane
Cites Work
- Unnamed Item
- Unnamed Item
- Large complex correlated Wishart matrices: the Pearcey kernel and expansion at the hard edge
- Fluctuations at the edges of the spectrum of the full rank deformed GUE
- The cusp-Airy process
- The local semicircle law for a general class of random matrices
- Edge universality of beta ensembles
- Random matrices: universality of local eigenvalue statistics
- The spectral edge of some random band matrices
- Universality of random matrices and local relaxation flow
- From the Pearcey to the Airy process.
- Bulk eigenvalue statistics for random regular graphs
- Anisotropic local laws for random matrices
- Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
- Large complex correlated Wishart matrices: fluctuations and asymptotic independence at the edges
- Bulk universality for deformed Wigner matrices
- Continuum limits of random matrices and the Brownian carousel
- Edge universality for orthogonal ensembles of random matrices
- The Pearcey process
- Random skew plane partitions and the Pearcey process
- Airy processes with wanderers and new universality classes
- New results on the equilibrium measure for logarithmic potentials in the presence of an external field
- Level-spacing distributions and the Airy kernel
- Universality at the edge of the spectrum in Wigner random matrices.
- Local law and Tracy-Widom limit for sparse random matrices
- Propagation of singular behavior for Gaussian perturbations of random matrices
- Universality for general Wigner-type matrices
- Universality for a class of random band matrices
- Universality for random matrix flows with time-dependent density
- Stability of the matrix Dyson equation and random matrices with correlations
- On orthogonal and symplectic matrix ensembles
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Correlated random matrices: band rigidity and edge universality
- Cusp universality for random matrices. II: The real symmetric case
- Transport maps for \(\beta\)-matrix models and universality
- Mesoscopic eigenvalue statistics of Wigner matrices
- Convergence of local statistics of Dyson Brownian motion
- Universality of general \(\beta\)-ensembles
- Bulk universality and related properties of Hermitian matrix models
- A Survey on the Eigenvalues Local Behavior of Large Complex Correlated Wishart Matrices
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
- Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
- Edge universality for deformed Wigner matrices
- Transitions Between Critical Kernels: From the Tacnode Kernel and Critical Kernel in the Two-Matrix Model to the Pearcey Kernel
- Universality of the Stochastic Airy Operator
- Bulk universality of sparse random matrices
- Bulk universality for Wigner matrices
- RANDOM MATRICES WITH SLOW CORRELATION DECAY
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Asymptotics of Plancherel measures for symmetric groups
- Change of variables as a method to study general β-models: Bulk universality
- Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices
- Quadratic Vector Equations On Complex Upper Half-Plane
- Rigidity and Edge Universality of Discrete β‐Ensembles
- Asymptotic properties of large random matrices with independent entries
- PDEs for the Gaussian ensemble with external source and the Pearcey distribution
- Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half‐Plane
- A Dynamical Approach to Random Matrix Theory
- Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints
- On chromatic number of graphs and set-systems
- k-Degenerate Graphs
- Discrete orthogonal polynomial ensembles and the Plancherel measure
- Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
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