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Spectral packing dimension for 1-dimensional quasiperiodic Schrodinger operators

Date: 
Friday 10th April 2015 - 15:30 to 15:55
Venue: 
INI Seminar Room 1
Abstract: 
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons