Frederic Klopp (Paris-13):

TITLE: The bottom of the spectrum and Lifshitz tails for non-monotonous alloy type models.

SUBTITLE: a random walk in an environment with traps that are neither attractive nor repulsive.

ABSTRACT: For a standard alloy or Anderson type random perturbations of the free Laplace operator, it is well known that Lifshitz tails occur at the bottom of the spectrum when the single site potential is sign definite. In this work, we shall present some results in the case when the single site potential is not sign definite. The talk is based on joint work with S. Nakamura (Univ. Tokyo).