Speaker: 

Christian Sadel

Institution: 

UCI

Time: 

Thursday, December 2, 2010 - 2:00pm

Location: 

RH 306

The Bethe strip is essentially the cartesian product of the Bethe lattice
with a finite set. Using supersymmetric integrals we show absolutely
continuous spectrum for random Schr\"odinger Operators with small random
matrix potential. The proof extends Abel Klein's original proof for a.c.
spectrum on the Bethe lattice. The considered models include the Anderson
moodel on the product of a finite graph with the Bethe lattice and the
Wegner m-orbital model on the Bethe lattice for a fixed number of
orbitals.