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Fluctuations of eigenvector overlaps and the Berry conjecture for Wigner matrices
- Publication Year :
- 2022
-
Abstract
- We prove that any finite collection of quadratic forms (overlaps) of general deterministic matrices and eigenvectors of an $N\times N$ Wigner matrix has joint Gaussian fluctuations. This can be viewed as the random matrix analogue of the Berry random wave conjecture.<br />Comment: 16 pages, 6 figures
- Subjects :
- Mathematics - Probability
Mathematical Physics
60B20, 15B52
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.10694
- Document Type :
- Working Paper