| Abstract: |
| In studying spectra of complex operators, it is often helpful to work with simpler approximations.
In this talk, I will describe a method for estimating the measure of a spectrum that is approximated, in the Hausdorff sense, by spectra of periodic operators. The idea is to consider suitable ``fattenings`` of these spectra and show that their measures converge to that of the limiting spectrum.
I will then illustrate this method with an application to aperiodic Schr\odinger operators, whose underlying structures can be approximated by periodic ones. |
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