Speaker:
Christoph Marx
Institution:
UCI
Time:
Thursday, September 10, 2009 - 2:00pm
Location:
RH 306
We consider averages $\kappa$ of spectral measures of rank one
perturbations with respect to a sigma-finite measure $\nu$. It is shownhow various degrees of continuity of $\nu$ with respect to Hausdorff measures are inherited by $\kappa$. This extends Kotani's trick where $\nu$ is simply the Lebesgue measure.