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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Local semicircle law and complete delocalization for Wigner random matrices

## Local semicircle law and complete delocalization for Wigner random matricesAdd to your list(s) Download to your calendar using vCal - Yau, HT (Harvard)
- Monday 18 August 2008, 15:30-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Mathematics and Physics of Anderson localization: 50 Years After We consider $N imes N$ Hermitian random matrices with independent identical distributed entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order 1/N. Under suitable assumptions on the distribution of the single matrix element, we prove that, away from the spectral edges,
the density of eigenvalues concentrates around the Wigner semicircle law on energy scales $ta gg N This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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