Spectral packing dimension for 1-dimensional quasiperiodic Schrodinger operators

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• Zhang, S (University of California, Irvine)
• Friday 10 April 2015, 15:30-15:55
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Periodic and Ergodic Spectral Problems

Co-author: Svetlana Jitomirskaya (UC Irvine)

In this talk, we are going to discuss the packing dimension of the spectral measure of 1-dimensional quasiperiodic Schrodinger operators. We prove that if the base frequency is Liouville, the packing dimension of the spectral measure will be one. As a direct consequence, we show that for the critical and supercritical Almost Mathieu Operator, the spectral measure has different Hausdorff and packing dimension.

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

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