Speaker:
May Mei
Institution:
UC Irvine
Time:
Tuesday, May 24, 2011 - 2:00pm
Location:
RH 440R
We will be looking at the trace map of the discrete
Schrdinger operator with potential given by the period doubling sequence. It is known that for any positive coupling constant, the spectrum of the corresponding operator is a Cantor set of Lebesgue
measure zero. We are interested in the structure of the spectrum for small coupling constant, specifically the Hausdorff dimension and thickness.