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Measure of the spectrum of the extended Harper's model

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Periodic and Ergodic Spectral Problems

Co-author: Svetlana Jitomirskaya (University of California, Irvine)

In this talk, we will discuss the measure of the spectrum of the extended Harper’s model(EHM). The measure of the spectrum of the Harper’s model, which in mathematics is better known as the almost Mathieu operator(AMO), is know to be |4-2a| where a is the coupling constant. The way of calculating the measure mainly relies on the analysis of the AMO with rational frequency and the continuity argument. Here we focus on how to calculate the measure of the spectrum of the EHM with rational frequency, therefore implying the result of irrtional frequency.

This talk is part of the Isaac Newton Institute Seminar Series series.

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