Date: Monday, April 08, 2013
Location: 1360 East Hall (4:10 PM to 5:00 PM)
Title: Quantum diffusion and delocalization for random band matrices. COMBINED WITH ANALYSIS/PROBABILITY SEMINAR.
Abstract: I give a summary of recent progress in establishing the diffusion approximation for random band matrices. We obtain a rigorous derivation of the diffusion profile in the regime W > N^{4/5}, where W is the band width and N the dimension of the matrix. As a corollary, we prove complete delocalization of the eigenvectors. Our proof is based on a new self-consistent equation for the Green function.
Joint work with L. Erdos, H.T. Yau, and J. Yin.
Speaker: Antti Knowles
Institution: Courant Institute
Event Organizer:
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