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##### Conference on "Mathematical properties of large quantum systems"Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)

Jun Yin (Madison, USA): "Local law, Delocalization and Diffusion Profile for Random Band Matrices"
Thursday 20 June 2013, 14:30 - 15:15
Amphi Hermite

We consider Hermitian and symmetric random band matrices $H = (h_{xy})$ in $d geq 1$ dimensions. The matrix entries $h_{xy}$, indexed by $x,y in (bZ/LbZ)^d$, are independent, centred random variables with variances $s_{xy} = E |h_{xy}|^2$. We assume that $s_{xy}$ is negligible if $|x-y|$ exceeds the band width $W$. In this talk, we introduce some new results on the local law, delocalization and diffusion Profile of  Random Band Matrices.