## Speaker:

Silvius Klein

## Institution:

UCLA

## Time:

Thursday, January 15, 2004 - 2:00pm

## Location:

MSTB 254

We consider the discrete one-dimensional quasi-periodic

Schroedinger operator with potential defined by a Gevrey-class function.

We show - in the perturbative regime - that the operator satisfies

Anderson localization and that the Lyapunov exponent is positive and

continuous for all energies. We also mention a partial nonperturbative

result valid for some particular Gevrey classes. These results extend

some recent work by J. Bourgain, M. Goldstein, W. Schlag to a more general

class of potentials.