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SUMMARY:Analysis of a stochastic branching recursion related to the Anders
 on transition  - Dr. Christian Webb
DTSTART:20150210T154500Z
DTEND:20150210T164500Z
UID:TALK57985@talks.cam.ac.uk
CONTACT:John Shimmon
DESCRIPTION:One way to describe the Anderson transition is that eigenvecto
 rs of a large random Hermitian matrix undergo a transition from extended (
 macroscopic number on non-zero entries) to localized (only finitely many n
 on-zero entries) as one "strengthens the randomness" in the matrix. Physic
 ists believe that precisely at the transition point\, the eigenvectors sho
 uld exhibit multi-fractal behaviour (anomalous scaling). We will consider 
 a specific random matrix model and study its multifractal behaviour throug
 h a heuristic approximation resulting in a stochastic branching recursion 
 similar to those appearing in the study of multiplicative cascades.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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