On the spectral form factor for random matrices
DOI10.1007/s00220-023-04692-yzbMath1518.15039arXiv2109.06712OpenAlexW3200631754MaRDI QIDQ6165436
László Erdős, Giorgio Cipolloni, Dominik Schröder
Publication date: 4 July 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.06712
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) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)
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Cites Work
- Unnamed Item
- Unnamed Item
- Rigidity of eigenvalues of generalized Wigner matrices
- Black holes and random matrices
- On the convergence of the spectral empirical process of Wigner matrices
- Fluctuations of matrix elements of regular functions of Gaussian random matrices
- Chaos in classical and quantum mechanics
- Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices
- Chaos, complexity, and random matrices
- Fixed energy universality of Dyson Brownian motion
- Spectral form factor and semi-circle law in the time direction
- On fluctuations of eigenvalues of random Hermitian matrices.
- Differential identities for the structure function of some random matrix ensembles
- Thermalisation for Wigner matrices
- On Cramér-von Mises statistic for the spectral distribution of random matrices
- Fluctuations of the overlap at low temperature in the 2-spin spherical SK model
- Mesoscopic eigenvalue density correlations of Wigner matrices
- Spectral fluctuations in the Sachdev-Ye-Kitaev model
- Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function
- Applications of mesoscopic CLTs in random matrix theory
- Mesoscopic linear statistics of Wigner matrices of mixed symmetry class
- Mesoscopic eigenvalue statistics of Wigner matrices
- Isotropic local laws for sample covariance and generalized Wigner matrices
- Regularity conditions in the CLT for linear eigenvalue statistics of Wigner matrices
- Quenched universality for deformed Wigner matrices
- Fixed Energy Universality for Generalized Wigner Matrices
- The Isotropic Semicircle Law and Deformation of Wigner Matrices
- Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices
- Semiclassical theory of spectral rigidity
- Asymptotic distribution of smoothed eigenvalue density. II. Wigner random matrices
- RANDOM MATRICES WITH SLOW CORRELATION DECAY
- Asymptotic properties of large random matrices with independent entries
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- Fluctuations in the spectrum of non-Hermitian i.i.d. matrices
- Central Limit Theorem for Linear Eigenvalue Statistics of <scp>Non‐Hermitian</scp> Random Matrices
- Functional central limit theorems for Wigner matrices
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