Equipartition principle for Wigner matrices
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Publication:4992409
DOI10.1017/fms.2021.38zbMath1475.60012arXiv2008.07061OpenAlexW3049497968MaRDI QIDQ4992409
László Erdős, Kevin Schnelli, Zhigang Bao
Publication date: 8 June 2021
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07061
Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Quantum equilibrium statistical mechanics (general) (82B10)
Related Items (2)
Gaussian fluctuations in the equipartition principle for Wigner matrices ⋮ Eigenstate thermalization hypothesis for Wigner matrices
Cites Work
- The local semicircle law for a general class of random matrices
- The eigenvector moment flow and local quantum unique ergodicity
- Rigidity of eigenvalues of generalized Wigner matrices
- Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
- Isotropic self-consistent equations for mean-field random matrices
- Eigenvector distribution of Wigner matrices
- Mesoscopic eigenvalue statistics of Wigner matrices
- Edge universality for non-Hermitian random matrices
- Fermionic eigenvector moment flow
- RANDOM MATRICES: UNIVERSAL PROPERTIES OF EIGENVECTORS
- Quantum analogue of energy equipartition theorem
- Asymptotic properties of large random matrices with independent entries
- A Dynamical Approach to Random Matrix Theory
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