Normal fluctuation in quantum ergodicity for Wigner matrices
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Publication:2135398
DOI10.1214/21-AOP1552zbMath1502.60004arXiv2103.06730OpenAlexW3135808049WikidataQ114060483 ScholiaQ114060483MaRDI QIDQ2135398
Dominik Schröder, Giorgio Cipolloni, László Erdős
Publication date: 6 May 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.06730
Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
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Cites Work
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- The local semicircle law for a general class of random matrices
- Gap universality of generalized Wigner and \(\beta\)-ensembles
- The eigenvector moment flow and local quantum unique ergodicity
- Rigidity of eigenvalues of generalized Wigner matrices
- Eigenvectors of random matrices: A survey
- Ergodicity and eigenfunctions of the Laplacian
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Fixed energy universality of Dyson Brownian motion
- Eigenvector distribution of Wigner matrices
- Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
- Eigenvector statistics of Lévy matrices
- Optimal delocalization for generalized Wigner matrices
- Thermalisation for Wigner matrices
- Fluctuations in local quantum unique ergodicity for generalized Wigner matrices
- Extreme gaps between eigenvalues of Wigner matrices
- Eigenstate thermalization hypothesis for Wigner matrices
- Quantum ergodicity on graphs: from spectral to spatial delocalization
- Eigenvector statistics of sparse random matrices
- Isotropic local laws for sample covariance and generalized Wigner matrices
- Edge universality for non-Hermitian random matrices
- Fermionic eigenvector moment flow
- Fixed Energy Universality for Generalized Wigner Matrices
- The Isotropic Semicircle Law and Deformation of Wigner Matrices
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Quantum unique ergodicity for parabolic maps
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