Houston, TX 77005
4:00 p.m. Thursday, Oct. 31, 2013
On Campus | Alumni
This is the first talk in the four lectures series on one of the most important problems of spectral analysis of one dimensional quasi-periodic discrete Schrödinger operator - the size of the splitting between its eigenvalues. We consider the case of the regime of exponentially localized eigenfunctions. We will discuss how this problem allows to show the Cantor property of the spectrum. In the first lecture we will discuss the set up of the problem and the technological tools involved. This lecture does not require any preliminary knowledge of the spectral theory of differential operators.