Analysis of a stochastic branching recursion related to the Anderson transition
- đ¤ Speaker: Dr. Christian Webb
- đ Date & Time: Tuesday 10 February 2015, 15:45 - 16:45
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
One way to describe the Anderson transition is that eigenvectors of a large random Hermitian matrix undergo a transition from extended (macroscopic number on non-zero entries) to localized (only finitely many non-zero entries) as one “strengthens the randomness” in the matrix. Physicists believe that precisely at the transition point, the eigenvectors should exhibit multi-fractal behaviour (anomalous scaling). We will consider a specific random matrix model and study its multifractal behaviour through a heuristic approximation resulting in a stochastic branching recursion similar to those appearing in the study of multiplicative cascades.
Series This talk is part of the Probability series.
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Dr. Christian Webb
Tuesday 10 February 2015, 15:45-16:45